Chemistry-
General
Easy
Question
The figure given below shows three glass chambers that are connected by valves of negligible volume. At the outset of an experiment, the valves are closed and the chambers contain the gases as detailed in the diagram. All the chambers are at the temperature of 300 K and external pressure of 1.0 atm
atm
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)
What will be the work done by
gas when valve 2 is opened and value 1 remains closed?
- 0
The correct answer is: 0
Work done during the expansion of
at 0.82 atm to chamber
at ![P equals 0](data:image/png;base64,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)
![therefore blank w equals P V equals 0 cross times 4 equals 0](data:image/png;base64,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)
Related Questions to study
chemistry-
In simple cubic lattice, the spheres are packed in the form of a square array by laying down a base of spheres and then piling upon the base other layers in such a way that each sphere is immediately above the other sphere. In this structure, each sphere is in contact with six nearest neighbours. The percentage of occupied volume in this structure can be calculated as follows
The edge length ‘
’ of the cube will be twice the radius of the sphere,
. Since, in the primitive cubic lattice, there is only one sphere present in the unit lattice, the volume occupied by the sphere is
![](data:image/png;base64,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)
or ![V equals fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent](data:image/png;base64,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)
The fraction of the total volume occupied by the sphere is
![ϕ equals fraction numerator fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent over denominator a to the power of 3 end exponent end fraction equals fraction numerator pi over denominator 6 end fraction equals 0.5236 blank o r blank 52.36 percent sign](data:image/png;base64,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)
In a simple cubic cell, an atom at the corner contributes to the unit cell
In simple cubic lattice, the spheres are packed in the form of a square array by laying down a base of spheres and then piling upon the base other layers in such a way that each sphere is immediately above the other sphere. In this structure, each sphere is in contact with six nearest neighbours. The percentage of occupied volume in this structure can be calculated as follows
The edge length ‘
’ of the cube will be twice the radius of the sphere,
. Since, in the primitive cubic lattice, there is only one sphere present in the unit lattice, the volume occupied by the sphere is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP4AAAD3CAYAAAA9memZAAAgAElEQVR4nOydeXxU5fX/P/fe2SeZ7HtCdkIICRB2JJCQsAkqKiBVLF/rvrRf/bXuWkCrXdSv1krVVqlVaVXUamUpgglBQlgCCQlk3yb7nkyS2Wfu+f2B9zZRwBCyzIR5v168Xq0wd565z3Oec55zznMOQ0QEFy5cXFWw4z0AFy5cjD2S8R6ACxcjCc/zsNlssFqtsNlsAIChGLUMw4BhGEilUshkMrAsC4ZhRnu448ZVKfhEJP4ZKYSFM5EXiyMgzBvP87Db7TCZTDAYDDAajTCZTDCbzTh37hzq6+vR0tJyWc9WqVQICQnB1KlT4efnB5lMBrVaDblcDpVKNWhDYFnnNpavSsE3GAzQ6XTo7+8fEeFnGAYqlQqenp5Qq9Uu4R9FrFYrWltb0dbWhpaWFpSVlaG8vByVlZWoqalBa2srLBbLFc0rwzDw8vJCYGAgpk2bhpCQECQmJiI8PBz+/v4ICAiAh4eHUws/M1Gde0QEu90Om80GnU6HxsZGdHR0oK2tDfX19aivr0d7e/uIaX0fHx+EhYUhLCwMAQEB8PX1RXBwMLy8vCCVSsGyrFMvlPGA53nwPA+z2YzW1lbU1NSgrKwM+fn5KCsrQ2VlJXQ6Hex2+4hbcUQkanaWZSGTyRASEoK4uDhMmzYNiYmJiI6ORkREBNzd3cFxnFMdDyak4BMRjEYjSkpKUFhYiPz8fJSXl6OxsRFarRZ6vV5cIMIEX+n3Cc9QKpUIDw9HSEgIoqOjkZycjKSkJCQkJMDNzc1pFsZ4w/M82tracO7cORQUFKCgoADnzp1DcXHxBTW6h4cHgoKC4OPjA6lUOuzvJSIYDAZ0dXWhvr4eVqv1B9/FsqxoDUybNg2zZs1CYmIiEhISnGZzd3rBF3Z5m80Go9GI8vJynD59GsePH0dNTQ20Wi2am5tht9vFfz/wnCaRSBAbGwsfHx+4u7sP+XsNBgM6OjpQXV0Nk8kknjmF1yl8h7+/PyIiIhAREYG5c+di5syZmDp1KtRqNTiOA8dxo/JenA3BQjObzcjJyUFeXh4KCgpQW1uL2tpa9Pb2gud5AADHcfDy8hLN78jISISFhcHX1xcajeaK3ikRwWw2o7+/H62trWhvb0d7ezsqKytRX1+PqqoqmEwm2O120RoICwtDVFQUFi9ejGuvvRbx8fGQSCQOPbdOK/gDnTwNDQ3IzMxEdnY2ysrK0NTUhObmZvA8L2pYhmHg5uaG2NhYREREYOrUqQgJCRG1hODEGep3W61W6PV6dHd3o7m5Gc3NzTh79izq6upQWlqK3t7eH1gVAQEBCA4ORnR0NFJTU5GamorY2Nir2jHI87wo9Dk5Ofjwww+Rl5eHxsZG9PT0iO9O8KMkJycjJSUF11xzDYKCguDl5QVvb28olcoR17aC5djf34/Ozk709PSgpKQEhw8fxpEjR9DY2ChaBCzLwsPDA4mJiVi+fDluvvlmREdHO+zcOqXgCyGbjo4OfPTRR/j0009RV1eHnp4e0QwUtHlwcDCWLFmCuXPnIiEhAf7+/lAoFFCpVJDL5ZDJZJc9OQMFWtgEzGYzDAYDTCYTOjs7UVJSghMnTuDw4cPQarWwWCziRiSVSuHh4YHQ0FCsXr0amzZtQmhoqOgLuBoQ3p3ZbMaJEyfwzjvv4NixY2hpaYHZbAYRgeM4qFQqJCQkID09HRkZGQgODoZGo4FGoxE17mgK1kDfgeBv0Ol00Ol0yMvLwzfffIMvvvhCtAI4joNGo0FUVBRuuOEG3HbbbQgMDHS4uXUawR8YwrHZbNi5cye2b9+Ompoa6PV6ABAXgkajQUZGBtasWYOlS5dCqVRCLpdDKpWOuvn1/c3AaDTi6NGj+Oqrr7B3717RGcXzvOg0Cg8Px89+9jPccccdcHNzA8dxEyJkdCEGHs2qqqrwpz/9CV999RU6OjpgtVrBMAw4jkNAQAA2bNiA6667DvHx8VAqlVAqlQ5jPgublslkQnl5OV555RV89dVXP5jbyMhI3H333di8ebM4foewAMgJ4HmezGYztbW10bvvvktTp04lhUJBEomEOI4jqVRKPj4+dMMNN9B7771HbW1tZDQayWw2k9VqJbvdTjzPE8/zYzpmu91OVquVzGYzGY1G6u3tpY8++og2btxIvr6+pFAoiGVZkkgkpFAoKCYmhl5//XVqaWkhg8EwpuMdK6xWK+l0OsrOzqaVK1cOmke1Wk0hISH0zDPPUG1tLRmNRrJYLGSz2cQ5dCR4niebzUYWi4X6+/spJyeHbrvtNoqMjCQPDw+SyWQklUpJoVDQ5MmTaefOndTX10d2u328h04OLfiC4HR2dtLnn39Oqamp5O7uTlKplCQSCSmVSpo0aRJdf/319Omnn1J7ezuZzWaHXCRE53+P2Wymrq4u2rdvH91yyy0UGRlJarWaJBIJSaVSUiqVNGvWLPrwww+pvb2dLBaLQ/6Wy0HYBE0mE5WUlNCjjz5KISEh4m/28PCg+Ph4+tWvfkXl5eVkMBgcdg4vBs/zZLVaSa/XU1lZGb322mu0cOFCcnNzE3+nl5cX/fa3v6XS0lLq7e0lm802buN1aMHX6/VUVFREL7/8MsXFxZFEIiGWZYnjOIqKiqJ169bRRx99RJ2dnYM0uyMjCIHNZqPu7m7avXs33X777RQXF0cymYwYhiGO4ygsLIyee+45OnXqFPX39zv877oUdrudmpqaaO/evbRx40aSSqXEsiwxDENBQUF0zz33UH5+PplMJrLZbE77WwWrUtjgs7KyaNOmTRQbGyv+ZoVCQQsWLKC///3v1NbWNm5jdbgzPn3n4e3r60NWVhbeffdd5Obmoq+vDyzLIiQkBPPnz8eqVauQkZEhxm3H/cw0DASfRXd3N7Kzs/Gf//wHJ06cQEVFBQBAoVAgOTkZd9xxB1asWAFvb2+nSgSi7/wyVVVV+Otf/4qPP/4Y7e3t4HkeHh4eSEpKwrJly7BhwwaEhoZCIpE45TxeCCH5qLOzE1lZWdi3bx+OHj0KrVYLhmEQHR2N9evXY/ny5UhMTIS7u/vY/vZx23IugLBbnjp1irZs2UKzZs0ihmEIADEMQ9OnT6c333yTWltbnVYrXAye56mzs5P+9a9/0X333UdRUVGi9p8yZQo99thjlJOTQ0ajcbyHOmRsNhudO3eO7rrrLlKpVMQwDCmVSkpJSaHf/e53dPr0aTIYDOM9zFHHbrdTR0cHvffeezRz5kziOI4YhiG1Wk2LFi2iXbt2kV6vH9M17TCCz/M8WSwWyszMpPT0dPL29ia5XE4ymYzi4uLo4Ycfpr1795JOpxvXs9FoIpiIDQ0NtGPHDpozZw4plUqSSqXk6elJKSkp9OWXX5LJZHIIB9HFsFqtpNVq6c0336Q1a9aQp6cnSSQSUqlUdNNNN9GRI0eop6eHrFbrhNvAL4TgBNTr9fT111/TI488QtHR0aLzLzk5mT766CPS6/VjNq/jLviClrdYLJSVlUUzZ84Uz0MBAQF0zz330P79+6m5uZmsVut4D3fM6O3tpcOHD9P/+3//j0JDQ4njOOI4jpKSkmj37t0O6cQU5rKmpoYef/xxmjRpkuixl8vldOutt9LZs2cdetMabQR/x5tvvklTpkwRozpTpkyhzz77bMzmddwF32q1ksFgoC+++IJmzJgh7oKBgYG0ZcsWampqIqPR6HCLfLQRvOAtLS30+uuvU1RUFHEcRzKZjCIjI2nnzp2k1+sdyhlmtVqprq6OHnvsMfL29iapVEpSqZQWL15M//rXv6i+vn5CRCmuFJvNRj09PfT222/T5MmTSSaTkUQiofDwcHrvvfdIr9eTxWIZ1TGMm+ALobqCggLavHkzBQQEiELv7e1Nzz77LOl0uqt+kdjtdjIYDPR///d/FBISIgqTr68vrV27lo4dO0Zms3lc35Ngyra0tNCTTz5JGo2GGIYhmUxGGRkZVFRUNO5jdET6+vroz3/+M0VGRorz6unpSatWraIjR46M6qY+boJvNBopNzeXVq5cKe54arWaQkND6fe//z0ZjcYJe5a/HATz2Wg00ltvvUWTJ08WcxnkcjnNmTOHvv7663EVLJvNRm1tbfTMM8+ICTkymYxWrVpF+fn5LqG/CIJP529/+xtNmzaN3N3dxXc3f/58ysvLGzUZGHPBFxZxTk4OXXfddWL2mq+vL919991UWloqmvYu/ouwSCorK+nhhx8mf39/MZFp8eLF9PXXX1NfX9+YZydarVZqbm6mp59+mtRqNXEcR25ubrRq1SrKycm5ahx4w4XneTKZTFRdXU2PPfYYBQYGEsdxFBMTQ++99x719PSMStbpmAu+yWSinJwcuuGGG0SHlZ+fHz322GPU3t7uWiiXQND+BoOBnnvuOQoLCyOWZcVz9L59+8hoNI7Z+7Pb7aTVaumJJ54ghUJBHMeRSqWiNWvWUE5Ojus8P0SEo5LRaKQ//OEPFBgYSJ6enrR69WratWsX9fb2Oq/gC9rh+PHjdP3114uaPjQ0lB5//HGqq6tzKEeVI2Oz2aijo4NefPFFioiIEI9KGRkZlJmZOSaxfpvNRlqtlh599FHy8PAgiURCbm5utGbNGsrKyhIzKV0MDWFT7+rqonXr1omh7Dlz5tCHH35IXV1dIyobYyb4druddDod/eQnPxFTb/39/enJJ5+k+vp61yIZBq2trfTiiy9SZGQkASC5XE6PPPIItbe3j/p3GwwGeumll8jf358YhiGpVEqrVq2io0ePXlVh15FGr9fTSy+9RNHR0WIC1/Tp0+kf//jHiKZuc1u3bt06BtmBsNls2L17N1577TWYTCb4+/tj8+bNuPfeexEaGupU9cocBYVCgdjYWEilUlRWVkKv10MmkyEqKmrU3il9d602Pz8fr7/+Oqqrq8EwDFJTU7Ft2zbMnj1bvHrq4vJhGAZBQUEICgpCdXU1enp60NbWhqqqKoSFhSEiIgISyQjUyB2R7eMSCBl533zzDcXHx5NEIiGJREKrVq2i8vJyl+d+BGhqaqItW7ZQcHAweXp6UnJyMv373/8elTO2zWajsrIy2rx5M7m5uRHHcaTRaCg7O9t1ph9Burq66J133qGpU6cSy7Ikl8vpf//3f0fM5B9VwRfO9fv376ekpCQxVjlp0iR68803XQtlhDCbzbR7926aMWOGGA6KiIgQ03tH8h1XVlbSPffcQ56ensRxHCmVSrrrrruov7/fdVwbQWw2G+l0OvrrX/9KcXFxpFAo6JprrqHPPvtsRKJeoyr4VquVjhw5IqbhSiQS8vb2pq1bt1JfX99ofvVVhc1mo/Lycnr00UcpMDBQvP8dFRVFmZmZI2JVCcVQduzYQd7e3uJ33HjjjVddOvVY0tfXR6+++iqFhoaSXC4nb29v+uCDD65YaY6q4Hd2dtIdd9whFiPw8vKiZ5991pWcM8IMDPO99tprFBwcTBKJhHx8fOiPf/zjiFTzMZvNlJ+fT9dffz2xLCsm6FRWVrqiMaOIxWKhPXv2UHJysnhM9vb2pn379l3RZjsqF7t5noder8eePXuQm5sLs9kMjuNw55134vHHH4dMJnOY2mkTAaE+n1wux7333oubbroJEokEBoMB+/btw969e9HX1zfs5xMR2tra8Oabb+LAgQMgIvj5+eGuu+5CcHCwy5k3inAch6lTp2Ljxo2IiooCAJhMJuTn519RJ6hREXy73Y5Tp07hL3/5C8rLy8HzPKKjo/HII4+MShlkF+cRKgvPnDkTQUFBsFgsyMzMxMsvv4yioqJhPZO+i8icPn0au3btgsVigUajwbp16zB37twhlyR3MTxYlsWkSZPw0EMP4ZZbboFSqYTNZsM333yDU6dOOZbgd3Z2Ys+ePSgsLAQARERE4Je//CV8fX1dQj/KsCyLlJQUPProo5g0aZKorYuKigbV+h8qPM+ju7sb77//Pnp7eyGRSLB48WJs3rwZQUFBLk0/BrAsC6lUipkzZyI2NhYsy6KoqAg5OTloaWkRuwJf1jNHepBEhHPnzmHfvn3Q6/WQSCT46U9/iptvvnlk4o8uLgnLsoiNjcUdd9yBlJQUMAyD1tZWHDp0CLW1tWI3mqHC8zxycnJw6NAhEBGCgoJw3XXXYfLkyS4TfwzhOA5z587FE088gbi4OPT19eFf//oX/va3v6G1tfWynzeigs/zPDo6OpCZmYmKigqwLIukpCRce+21rr5xYwzHcViyZAmmTp0Ki8WCs2fP4tixY+ju7h7yM3ieh8lkwvbt28WahzNnzkRaWhoUCsUojt7FhQgMDMS1116LxYsXw263o6SkBHv37kVlZeVlNwwdUcG32WyorKzEv//9b5jNZshkMtx0002IiopyaYcxhuM4rF69Gr/+9a8RGxuL+vp6HDx4EE1NTUNaIPRd0dP9+/fj+PHjsNvtCAgIQEZGBiIjI13O2TFGcODKZDKkpKRg8uTJ4HkejY2NOHnyJDo7Oy/reSMq+H19ffjyyy/FNM65c+ciPT39sppRuhgZGIaBn58fkpKSEB8fD6vViqKiIhw7dgw6ne5HTX4iQn9/P1577TWYzWZIJBJMmzYNq1atcgn9OCF0GUpNTcWCBQvAsiyam5uRnZ2N+vr6yzrGjYjgC9qhpaUFH374IWw2G6KionD//fdj5syZrrP9OCBoCC8vL6SmpiIyMhKVlZXIysoSS1xfDPquLPaXX36Jc+fOged5+Pj4YO3atQgODh7DX+Hi+wgt4pYuXYpp06bBZrOhv78fRqNxfATfbDbjgw8+QFtbG1iWxbx58zBr1qwJVSvdGdFoNEhLS0N8fDwYhkFRURG++eYbsd/ghSAi9Pb2YseOHdDr9WBZFtHR0bj55puvqPe8i5FBIpFgyZIlmD17NqRSKbRaLTIzM9HW1jbkZ4yI4PM8j9raWuzcuRM8z0Oj0WDGjBkIDg52Cf04w7IsgoKCsHTpUkRERKC6uhqHDh1CW1ub2KL6+9jtdnz99deorq4Gz/Nwd3fHpk2bxIYeLsYXoSW3sKEL5n5dXR1sNtuQfDgjMos2mw1vvPEG2traQESIiYnBwoULXSa+AyCY+/PmzcO0adMglUqRl5eHrKwsWK3WC37GZDLh0KFD6O3tBcuymDp1Kq6//nrXJu4gMAwDpVKJ6dOnIzw8HDzPo6SkBFlZWdDpdGMj+EJY4fPPPxe1/aJFizB9+nSH1w48z6O/vx979+5FVlYWenp6LjvO7QwwDINJkyYhPT0dgYGB0Gq1yM7OhlarveDvra6uxpkzZ2AymcCyLDZu3AgvLy+X4DsQDMNApVJh0qRJ8PDwQEtLC0pLS6HX60df8IV0zs8++ww9PT1gGAaRkZG4/vrroVKpHFrwBQfW119/jccffxxbt27FoUOHYLfbx3too4Knpyfi4uLg7u4Onudx9OhRfPPNNz8QfLvdjszMTNTU1Ihm/qpVq5y2P+FExtvbGxkZGYiOjgbP82hpaUFNTc2QMvmuWPB7enrw9ddfg+d5qFQqpKWlITEx0eEXCRHBarXigw8+QEVFBQoKCnDgwIErusziyLAsi4CAAEyZMgVubm5obW1FQ0PDoHO+3W5HdXU1srOz0dXVJTppXb4ax0ShUCAsLAyenp6i4zYzMxNms/lHP3vFKvn06dOor68HEcHd3R3XXnstVCrVlT521CEiNDc3Izc3FzabDUajEZWVlaivrx/voY0Kgmd+yZIl8Pb2Bs/zOHv2LEpLS0XBF/5bZWUl7HY7JBIJbrzxRldZNAeFZVn4+Phg2rRp8PHxQXd3N5qammC1Wn/U3L9ijZ+TkwO9Xg+GYRASEoK5c+c6RYIHEeH06dPo6+sTzf7m5uYJK/iCQ8jT0xMymQw8z+Pw4cPIycmB3W4XczHKy8vR1NQEAPD19cWyZcsc+sh2NSPU50tNTUVoaCiICMXFxTh16pQ4pxdj2DMqCEteXh5MJhM4jkNaWhqUSqVTaAciwsmTJ8Xwh2ABCNbLRIRhGEyePBkLFy6EQqGA0WiEwWAQz/mdnZ2oqqqCwWAAwzBYvHgxPDw8nGI+r0YYhoFUKoVarYZSqQRw3gI/fPjwjzqphy34PM+jqqoKLS0t4HkeUqkUixcvdopFIjglBW0HnP89nZ2dqK6uhsFgmLDCHxcXh5SUFKjVahARTCYTLBYLAKCpqUmM3TMMg5SUFCgUCpfGd3AiIiKQnp4OPz8/2O32QcrsYlyR4At3vBmGgbu7O5KTk4f7uDGF53lUV1ejtLR0kHOLiFBeXj6s66vOAsdxYjYlEeHQoUM4efIkiAjt7e3iJR6lUokZM2a4MvWcgKCgIMyZMweenp5i1uWPxfOHLfh2ux2FhYWi4M+ZMwfu7u4Or/GFs+yxY8cu6ASpqam57AsPzgTDMNBoNPDx8QEAFBQUiBtge3s7mpubAZy3DITCKY4+p1c7LMuK88TzPI4cOYKsrKzREfy+vj4xYYBhGCxYsMBprt5aLJaLZq41NjZCq9WK5u9EQ7hTn5qaColEAp7nYbfbYTAY0NDQAJ1OJ2brCedGF44Ny7Lw9vZGSEgI5HI5qqqqUF5ePjqCX11djcbGRtjtdjAMg+nTpzuFNx84f5YtKiq6YKKDXq9HWVkZdDrdOIxs9GFZFiEhIWKNBLvdjtraWpSWlqK2thZEBJZlERkZ6Sq24SSwLIu4uDikpqbCw8NDtGov+ZnhfllTUxN6enpARJDJZGKKrqNrfCLC2bNn0d3dfUFz3m63o7i4GF1dXeMwurFFcO4dOnQIubm5aG9vB3B+IUVFRbkKaToRnp6eCA4OhkwmEx17F7uEBVyB4Le1taG3txfAea+ip6enU3h/iQhnzpwR4/ffh+d5lJaWorOzc8J69hmGEf/YbDa0trais7NTPPqo1WoEBAS4HHtOwsD5BP5b9/JS5v6wJbWjowP9/f1gWRbJyckOr+mB8y/EaDQOSty50L9pamoSz/kTUfiFo9ncuXMvuFmHhoaKaaAunA+73Y7s7GwcO3bsook8wxJ8IkJra6uY1+7t7e0Ui4TneZSXl6O1tfWiL0Q4HxUVFV10c5gIzJs3D0uWLLngvAUHBztFhMbFDxHMfKEiz4hpfCJCR0cHuru7nU4ohnp+JyIUFhYOqTadMyKU5bJYLBcUbqVS6bqNNwHw9fW96BxetuALDRac0etttVqH7LgT/p2zbW5DQfhNQqltu92Ovr6+CRvCvFoQNnThf6tUqkFn/4EMS+N3d3eLjj1nor29HWVlZZesNyfQ2dmJkpKSYXUpcQaISExN7u3txbFjx9DR0THew3JxBWg0Gvj6+or5NBqNZuQ0PnBeczqjQFRWVqKurm5I5rvdbkdOTs6E1YJEJNZiN5vNqKurg8lkGudRubgSEhMTMW/ePDEao1arR1bwnZXq6mqx+MSlEC7xfPvttxNa8AXLR0jacSXsODeBgYGib4ZhGHh4eFz0314Vgi+YtTU1NUOOzxMR6urqoNVqf/Rus7Mi+GmE650uwXdurFYrSkpKYLVawTDMJUOyV4Xg8zyPhoYGVFRUDKk6CXBe8C0WC44fPz4hPftENChcKZVKXZl6Tk5TU9OgZimXqo1x1Qi+VqtFdXX1ZX2OiHDkyJEh1yp3JoR6iQBEM18mk43zqFxcCeXl5aLTXbh9eTGuGsGvq6tDbW3tZX1uogq+0PlI0AwSicSVqTcB6OzsFAttCqG8i3FVCH53dzdKS0thMBgu63NC6DI/P39CCT4AdHV1iYIvl8sREBDgEnwnp62tTYzM+Pn5XfLfXrbgMwwDhUIBDw8PyGQyp1gsra2tKCgoGNZZXfDuTzTBF+4hEBGkUumg9lg/drPLhWPS1dUlRqF+rNL1ZQs+y7KIiIhAamoqAgICnOJGXldXF8rLyy+7WcbAsN5EE4KB0Q2pVAofHx9xE+/r60NHR8eEbS4yERHuzwga/8eObsOSWh8fH8TGxsLNzW14oxwjhLNsQ0OD2Nfvcj/P8zzOnTs3yDSeCAxsq/x9U7+kpASZmZno7+8fzyG6GCJCBKqnpwc2m00M5V2KYZn6Qk6wo5v5QjpqQUEBzGbzsLQ2EaG/v3/YRwVHZWAoTy6XIzAwULTeWltbUVFRMaSOLC7GH8EXZTQaAUDscTGqzj2e51FRUYHS0lKHS3QRLhQVFBRc0XNsNhvOnDnjcL9vuAibmXDGVygUmDx5MqZOnQp/f3+H39BdDIaI0NXVJQo+x3FISEi45GdGRPBzc3OHVMR/rOF5Hq2trSguLr6i59hsNhw/fnxCnXlra2tht9vFXusxMTFITU1FREQEWJadEBvc1YJw70JohMKyLOLj40dP4wsao7+/H729vQ63WITMu4tdIf7+lcWLvSi73Y6KigrU1dWNyjjHGqHVks1mA8dxCAwMhEKhgLu7O+Ry+ZBqtrlwHITmNsJ1c19f3x+13IYt+CzLDmrMwPO8w2l8i8WC/Px8MQFH2A2FvHQPDw+Eh4eDYRjIZDL4+fnB29sbcrl8UKlwnufR09ODM2fOOL0gCA7P4uJi8DwPiUQingeF+uzA+XoEubm5Q05xdjF+2O12lJWVoaOjAwzDYOrUqZBIJJf8zLAFPy4uDhkZGWI5X5PJNGwH2mhhsVhw+vRp0URnGAZqtRrTpk3D888/j8LCQixatAgcx0GpVOL222/Hrl27cOuttyI0NHTQxtbX14ezZ8+O8y+6cgSfjBD2kUqlCAsLA3A+g0/I7z579qxL8J2E5uZm1NTUiM7Y+Ph4ce1ejGEL/qRJkzBr1iyxB5tQotmRFgkRwcvLC56enlCpVIiMjMTdd9+NnTt34v7774e3t7fYC0DQ+nPmzMErr7yCl19+GUuWLIGHhwfkcjn8/f0vec3RWRDqCQqOIKVSiVmzZome4KVLlyIwMFBstDGR/BoTFa1WC61WK5a6z8jI+NHmNpe2By4By6CICfAAACAASURBVLLiw3meR0FBAYqLi5GRkTHcR444vr6+eOONN/Dee++hsbERN998M1atWgWNRgMAP7hrzzAMJBIJ3NzcsHbtWiQlJeGNN95AeXk51q1bh1tuucXpPd52ux35+fkwGAxgWRZ+fn6Ij48HcD7Nc+bMmfDx8UFdXR26urrQ0dEBtVo9zqN2cSnq6upE/1N0dDSSkpJGV/B9fX0RGhqK5ubmQc4g4Tw93kgkEiQmJuKpp55CT08PIiIiIJfLxc3qYjAMA47jEB0djW3btqG2thYJCQk/aj45AzqdDiUlJTCZTGAYBrNnzxYrtQi/WzjnHz9+HJmZmdi8ebPTdEm6mhCO2LW1tejs7ATLskhJSRlSq/orcu4lJSUhNTUVCoUCRITa2lpxE3AEhAITgYGBmDJlChQKxZAFVxACLy8vzJw5EzKZzCnSk3+MiooKtLS0iK3Pli5dKjqCGIaBl5cXIiIioFQqUV9fj6qqKodz2ro4j5CmW1VVBavVCo7jMH/+/CHVVbiilezl5YXg4GBIpVLY7XYcOnQIp0+fdi0UB0XoItTW1gbg/PylpqaKZiHLsmI839vbW+wqNJx7Di5GH7vdDq1Wi7KyMgCAv78/YmNjf9SjD1yB4AsLZfLkyUhKShL7q3d1dbkWiQMi1Ng7deoUOjs7wTAMFi9eLLbCBs7PqZubG/z8/KBUKsV6BN9+++2EyVqcSJjNZpSWlqKiogIMwyApKQl+fn5DOpZdkcZnGAZz5szB0qVLwbIsjEYjjh07hoqKiit5rItRwG63o7S0FNXV1bDZbJBKpVi3bt0Fjy8xMTGYP38+lEoldDodvvnmmwmRwzDRaG9vR25uLgwGA2QyGa699loEBQUN6Uh6xYdWpVIJNzc3SCQSsfNqcXGxa5E4GII3v7a2FgzDICAgAGlpaRf0ecTHx2Pp0qXQaDRiqPbkyZOuOXUQhOvi5eXl2Lt3L4gIc+bMwaxZs4bk2ANGQONzHIeFCxdiyZIlYFkWVqsVBoPBlfjhYPT09OD06dNobW0FwzBYtmwZlErlBbWDRCLBrFmzkJaWJvpv9Hq9wyVoXa3wPI/29nbs2rULXV1d4DgOc+fO/dEbeQO5Yo3PMAwSExPFjrnd3d3IyspCeXm5y8nnAAhh1uLiYuTn54PnechkMqxcufKiFZQE301ycjIkEgnMZjMOHTqEgoICl//GAbDZbCgqKsKePXvA8zx8fX2RnJwMb2/vIT9jRASf4zj4+/vDx8cHfX19yMvLQ0FBgauQg4PQ29uLw4cPi+f0qKgoJCYmXrQxpuC49fHxgb+/P6xWK/Lz8y954cnF2GEymbBjxw7RSTtz5kxMnz59SN58gREJTLMsi/T0dCxcuBAsy6K5uRkHDhwQ0whdjB82mw3nzp3D/v37YTabIZPJsHbtWnh5eV3ycwzDYMGCBUhPTwfHcejt7cXBgwdF/41rXsceIoLVasXJkydx4MABAOdDeKmpqYiOjr6sPJMRE/yYmBgsWbIEISEh6O/vR15eHvLz88WCDy7GB8ErL1wwmjJlClasWAF3d/dLfo5hGISHhyMtLQ0REREwm80oKirCiRMnxC67LsYWoe/99u3b0dvbC4ZhMH36dCxduvSyktOAESyvLZFIkJaWhtmzZ4NlWWi1WmRlZaG5udl11h8HiAh2ux11dXX47LPPYDKZIJVKsWbNGvH21qUQjnCLFy/GkiVLIJFI0NHRgaysLFRUVLjO+uMAz/PIzMxEdnY2iAi+vr5YsWIFYmJiLvtZIyL4wiIJCQnBkiVLEBERAYPBgMLCQhw7dgx9fX0j8TUuLgOhX+C+fftQWloKIkJCQgIWL14MLy+vocV6v7vEk56ejpkzZ8JisaCsrAxZWVloampyWXJjCM/zMJlM2L59O/r7+8EwDGJjY3HDDTcMq+fhiCafq1QqZGRkIDExESzLory8HAcPHkR3d7ermssYw/M8Wlpa8P7778Nms0Eul2PFihWYPn36ZZ0FOY7D6tWr8dprr2HmzJloaGjAH/7wB7z99tuD+rS5GD2EKrpffPGFWD/S19cXN910E8LCwoZ1h2REBV8o4yQsMLvdjtOnT2P37t3Q6XQuwR8jeJ6H2WzGO++8g/r6enAchxkzZmDFihWXXVOAZVm4ubkhODhYvL7b3d2N4uJitLW1uVJ5RxnBkfrtt9/ihRdeQG9vL6RSKTZt2oQ777xz2DdGR1TwWZaFp6cnNm3ahGeeeQbR0dEoLS3Fk08+iX/+85+w2Wwj+XUuLoCgHf7+97/jT3/6E+x2OyIjI/HAAw8gJSXlskI+A9FoNFi2bJko/GfPnsU///lPNDQ0uLz8owgRQafT4d1330VtbS14nkdoaCgeeeSRy3boDWTE75kKV2EnTZqEyMhISKVSWK1W5OXlobW1dcI1oHQkBIdeTU0NXn75ZVitVsjlcixevBgrVqz40eIMl0KlUmH+/PmYOXMmNBoN6urq8Oqrr4qOQ9ecjjxCR+Ndu3YhLy8PVqsVgYGB+NWvfjXkyzgXY1QumAttttLS0uDv7w+e55GTk4PXXnsNtbW1rkUyShARmpqa8Prrr6OxsRE8zyMkJAQbNmy44rJhwjFuw4YNWL16Ndzc3MRipq58jZFHqF69e/duvP7669BqtZBIJLjnnnvw05/+9IoLo4xaZQlvb2/MmzdPrPBSU1ODt956Cy+//DLq6upcTqERhoig1Wrxpz/9CZ988gl4nodKpUJKSgrmz59/xUVEhCu7aWlpeOyxx7BixQqoVCrk5ubixRdfRGFhodiI08WVY7VacerUKbz99tsoKysT/TS33XbbiFSCGhXBF8o4xcfH4+GHH8ayZcsgkUhgNBrx5ZdfIi8vzxUHHmHsdjs+//xzfPDBB9DpdOJ9+3vvvRdqtXpEqgcJBUlnzJiBlStXwtfXF3V1dfj444+xbds2FBYWujb0EYCI0NHRgT179qCwsBB2ux2TJ0/GI488gqCgoCs6sgmMai0pT09PzJ8/H8888wyWLl0KjuOg1+uRnZ2NsrIyl0d4hLBarThz5gz27dsn3ta65ppr8NxzzyExMXFU6gROmTIFixYtgru7O4gIBw4cwLZt23D69OkfFDF1MXTsdjt6enrw2Wef4ZNPPoHVasXkyZPxy1/+EitXrhxSWa2hMKqCLzTdmDJlClJSUiCVSmEymfDJJ5/g+eefR3FxsUv4rwDh5l1VVRX+/Oc/Iy8vTzTxt2zZgqSkpIvewLtSEhISsHXrVqxfvx4ymQwmkwlZWVl4/vnnJ1SfwbFESNLZtWsXXnnlFTQ0NEAikYjVoT08PEas7uOoV48USlYvWLAAy5cvh0QiQVdXF/bs2YNt27a5Ln1cAYIH/9VXX8XHH38MvV4PjuOwYcMGzJ49e1Qr4yqVSkyaNAkvvvgibrvtNkilUpjNZhw8eFAUflf4dugIuRcff/wxnnrqKTQ1NYFhGCQnJ2PlypU/eqnqsqExgOd5slgspNPp6PbbbyelUklSqZSkUin95Cc/oeLiYrJYLMTz/FgMh4iI7HY7GQwG2rx5M0kkEvL09KSnnnqKDAbDmI1huPA8T1arlWpqauiBBx4gpVJJDMOQUqmkG2+8kerr68lms436++R5nmw2G+n1errjjjtIpVIRy7KkUCjoxhtvpPz8fLJYLGS320d1HM6O8A7fffddcnd3J4lEQjKZjBITE+nTTz8lq9U64u9wTASf6L+LpLm5mX72s5+Rl5cXMQxDcrmcbr31VioqKiKr1Tpmwu/Mgm+z2ai6upoeeughkslkxHEcqVQquuWWW6isrGxM36Mwr93d3XT//feTRqMhjuNIIpHQ+vXr6dSpU2QymcZkLM4Iz/PU1dVFb731Fnl7e5NEIiGpVEozZsygTz75hEwm06jM5ZgJvoDVaqXKykq6++67ycfHh6RSKclkMtq8eTMVFRWNmeZ3RsEfqOkfeughUcN6eXnRxo0bKT8/f0yFfuC4bDYb1dfX0wMPPED+/v6iBbJx40ZR+F2afzA2m43a29vpjTfeoLCwMFEWZsyYQTt37iSz2Txq72zMBZ/o/EIpLS2le++9l/z8/IhhGJLJZLRx40YqLi4ekwXijIJvt9uprKyM7rvvPpLJZMSyLLm7u9Ott95KBQUFZLVax3V8NpuNamtr6X//93/Jx8eHWJYliURCGzZsoOPHj4/7+ByNxsZGeu211ygqKopYliWO4ygpKYk++eQTMpvNo7qBc1u3bt06sl6DH4dhGHh4eCA2NhZ9fX3QarUwmUwoKytDS0sLwsPD4efnJ5aAGg3ou/TWPXv2oKioSGyYuXjxYkil0lH5zivBarWivLwcL7/8Mnbu3AmbzQZ3d3esWbMGDz/8MKZPnz4i8d0rgWEYuLu7IyYmBmazGVqtFnq9HpWVldBqtejr64OHhwc8PT3FXI+rCfrOia3T6XD48GH8/e9/xwcffICGhgaxLv4zzzyD6667DlKpdHQ7N43aljJEzp07R/feey95e3uLGiI9PZ1effVVqqysHLVdz1k0Ps/zZLfb6fTp0/Q///M/5O7uLprRt9xyC505c4ZsNtt4D3MQgg/iF7/4hTivLMuSr68v/fSnP6WioqIxcT46EsI89vT00DvvvEOzZs0ilUpFDMOQRCKhBQsW0FdffTVmR91xF3yLxULl5eV0zz33kKenp+jRDA4OpjvvvFM89480ji74wkKpra2lV155hdLS0sT3I5fL6ZZbbhlzh+hQEc78lZWV9Nhjj1FgYCDJZDKSSCSk0Who3bp1dPToUTKZTA63aY0GdrudTCYTHTx4kDZt2kQxMTHiPE6ZMoW2bNlCR48eJaPROGZ+kHEXfCISF/jPf/5zUqlUJJFIiGEY8vT0pNtuu21QWGikFrmjCr4g8BaLhSorK+mhhx4if39/UXDkcjlt2rSJampqHF5obDYbtbS00L59+2j16tXib1Cr1ZScnExbtmyh8vJyMVzlaBvYlSDMo9VqJaPRSDt37qQpU6aQUqkkjuOI4zhKTEyk999/n9rb28fc8ekQgi94q7u7uyk3N5dWrlxJUqmUJBIJqVQqiouLoxdeeIGamppGbIE4quDbbDbq6uqi7du3U0JCArm5uRHHcaRQKGjx4sW0f/9+6uzsdEhN/32ExW8ymai1tZXuvfdecnNzE73XGo2Gpk6dSi+99BK1tbVNKOG3Wq1kMBho3759tHLlSvL19RXXtEKhoJkzZ9KuXbtIr9ePywbuEIIvIGwAjY2NtG7dOlKr1WJcU6FQ0IMPPkg1NTXU399/xRaAIwm+oBn0ej21tbXRk08+SWq1WoyHK5VKWr16NRUVFY26t3e0sNls1N/fT9nZ2ZSRkUEqlYo4jhPn9pFHHqGGhgbq7+93SgtAON6YzWbS6XSUnZ1N69evF0PWUqmUVCoVRUZG0gsvvEBarZbMZvO4jdehBJ9ocKz6wQcfpMjISFKr1cSyLMlkMgoPD6fnnnuOiouLqaenZ9gmkiMJvk6no7KyMnr55ZcpOjpaNIkVCgWFh4fT5s2b6cyZM06h5S+GoP3NZrPo05k0aRIplUpxbiMiIujFF1+kkpIS6unpcfijzECsVis1NzeL53g/Pz+SSqWiWR8UFES//OUvRYEfb+cmQ+R4SfL03eWTvr4+HD9+HJ988glyc3Oh1WphsVgglUoRGRmJ2267Denp6YiKioKnp6cYzhpKmEjIjb7//vuxc+dOuLm54YEHHsAzzzwDpVI5qr+P53nwPI/e3l7U1NQgOzsb//znP1FSUgKLxQKO4xAaGoo5c+Zg/fr1SElJgaen57DLZjkSwtwKIa2//vWvOH78uNh/QSKRICYmBhs2bMCsWbMQFhaG4OBguLu7g2XZ0Q1xXcZvoO/CwRaLBe3t7SgvL8fnn3+O3bt3o729Xbx74uvri+joaKxfvx533nknFAoFWJYd91CmQwq+gPCChRZQ27dvx+HDh8Vrn1KpFPHx8Vi7di3S0tIwbdo0eHh4DOlyyngJPn0Xxy0rK8OhQ4fwxRdfoKioCEajUVz4c+fOxX333YfVq1dDo9E4xEIZaYS5PXnyJPbu3Yv8/HxUVFSgoqICPM+LLbxmzZqF9PR0pKSkIDo6esilwUcTq9WK9vZ2VFVVobi4GCdPnsSePXvEqsNEBH9/fyQlJWH58uW48cYbER4ePiIFNEYKh1YhgvbWaDRYtWoVvL29sXv3bmRlZaGwsFBsD1VTU4P9+/dj9uzZSEpKwtSpUzFjxgzIZLJxT2oRNIPQ6LC4uBiFhYU4ffo0zpw5g76+PrFOYXx8PJYsWYI1a9Zg0aJFkMlk477IRwthbmfNmoWkpCTU1taiuLgYhw4dwrfffovS0lL09PTg4MGDOH78OGbMmIGEhARERkYiIiICERERCAsLg5ubGziOE62BkZprYWMSrDOr1Yq2tjZUVVXh7NmzOHv2LIqLi1FSUgKDwQAiAsdxYuWptLQ0LF26FDExMWJXYkcResDBNf73ISL09fXh1KlTyMrKwr///W+cO3dOrObDMAyCgoIQHR2NRYsWYc2aNYiLi4Onp6f49wI8z8NisQzS+Pfffz+effbZYWn8C71GwVqpqqrCnj17kJ2djcrKSrEenjCmKVOm4Nprr0V6ejrmzZs3oveunQme59HT04Njx47h4MGD+Prrr1FZWSm2XBfKf4WEhCA0NBSTJk1CbGws4uPjER4ejoiICLi5uYnzPBxBE+aRvitl1tLSgtLSUpSWlqKmpga1tbWorq4e1EZMyESdN28e1qxZg8WLF4sC76g4leAD5xeH3W6HTqdDSUkJsrOz8eWXX6KiokI0lwHAzc0N0dHRCAgIQExMDJKSkjBlyhRERUVBo9GAYRjYbDY89NBD+Mc//jFswRe0gt1uF/vIV1dXo6ysDIWFhaioqEBLSwuqqqrQ29srLmC5XI7IyEisXr0a6enpSEhIgLe3t2gOOpJ2GCsELWu1WtHZ2Ynq6mqUlpbiyJEjyMrKQmtr66BNXiKRQKPRwMfHBxqNBp6envD390dAQAASEhIQEBAgvlM/Pz/xTrugfQf+6enpQUFBAQoLC1FTU4PW1lZ0dHRAr9ejs7MTXV1dMJlM4obNsizUajVmzJiBhQsXYuHChQgNDUVERARUKpXDafjv43SCPxDBSdTS0oKzZ8/iwIEDyMzMRGNj46AKMEqlEhqNBu7u7lCr1YiLi0NCQgKioqLwwQcfYP/+/VCpVNi0aROeffZZ+Pj4XPD7LjSRRITCwkIcOnQI586dw7lz59Df34++vj709vbCaDSC53nx3oG/vz+WLl2KjIwMJCcnIzAwEB4eHhPCcTfSEBFMJhM6OztRUVGBf/zjHzh06BDq6+sHdWYSNgzgvN9HoVDA3d0dcrlcPC7JZDKxLXhMTIxoGcTExECtVqOtrQ2ZmZkoKSlBf3//oMKhAzcIlUqF+Ph4pKSkYNmyZQgPD4ePj4/T3T9wasEHMOgMZjabYTabceTIEezZswf79+9Hd3c37Hb7INNaIpFAIpGAZVlYLBaYTCawLAuFQgG1Wi06B4WjQ0hIiDiharUaYWFh0Gg0AM4vuhMnTohOR8EsHfhdHh4eSEtLE7W7QqGATCYTF6UzLZixZqBFZTQaYTKZoNVqkZOTg2PHjqGoqAj19fWixTXw3QufH4jQ51E4Sgk+IOHoJ1QNkkgk4DgOEokE06ZNw4wZM3DNNdcgOTkZvr6+kMlkkMvl4rOcbQ6dXvC/DxHBZrPBarXCYDBg9+7d2L9/P06dOoXOzk5YrVbR2SZsGoLGGDhxwv8feENQ+PuBjiRh0fA8D47jxMXi5eWF6dOnY/ny5VizZo1ocgpax8XwEDYCm80mzmNTUxNOnjyJoqIiVFdXi1Efm82Guro6tLe3i58VPv/95wl/x7IsYmNjce2112Lu3LlYuHChqCiEP8Dw/AeOxIQTfOC/EzzQK6vX61FaWooTJ06gsrISBQUF6OnpQWNjo3j2lkqlkEql4s7/fe0hIJzRNRoNNBoNFAoFlEolkpOTERUVhTlz5mDq1Kmik07YPJxNKzgq3zfxB/4Z+PcX+t86nQ6NjY3i5mC329HY2IjOzk4A5+c2PDwc8+bNE0Opwn+fSPM3IQUfwCChF8y47u5u6HQ6WK1W2Gw2tLa24ne/+x2OHTsmdv+ZPHkyWlpa0NPTI1oPgvknPIfjOEyePBkrV67E/PnzERYWhqCgIFEjDAwvuRhZBmpoYT56e3uh1+t/tLinsNS/37lZsNYUCgU8PDygVCohlUrFY4CjO+qGw4T0KNF37YeamprQ3t6OlpYW1NfXQ6vVoqmpCWazWVw4dXV1PzgHBgUFISgoCABgNBphMBgAnE/c6O3thUwmEzPpent70dHRAZZlERwcPGrlrF2cn1e9Xi/Oa2tr66B5NRqNw362TCaDn58fwsPDERwcDA8PDwQEBMDLywtBQUGDwoQTAafX+ILjx2w2o6GhAVVVVWK8tba2Fs3NzWhsbBSzqgY6+QCITiHB6TPQ8QMM1hLCH8Hkk0gkCA4ORnBwMAIDAxEZGSkmmMTExCAoKAhyudxl5l8mA1NizWYzmpqaUFlZidraWnFum5ub0dTUhNbW1h/M6+Vo6O+f+YUwnZeXF0JDQ+Hj44OIiAhxbidPnoywsDCnD7s6peAPPL+3trbi1KlTOH78OAoLC1FXV4eGhgbodDpRSL+PQqFAUFAQfH190djYiMbGRkgkEkRERCA2NvYHKb88z6OjowPNzc1oaGgYNA6GYcTNgeM4ccGEh4djxowZmDdvHhYsWAA3N7cfOAldDEZ4j3a7HR0dHYPmtba2Fo2Njeju7r5oDwa5XI6goCD4+/vD19f3ku9ZeMbAeb2QjwD4b/v3sLAwxMfHY8WKFVi6dCkCAwOd1tnnVII/8GLEwYMHceTIEZw6dQotLS1oaWkRL3oAEL3rYWFhiIuLQ2hoKAIDA8W4q1qthlQqxe9//3vs3r0bKpUKGzduxAMPPACZTPaD7zUajejv70dHR4eYkFNbW4uysjLU19eL0QIBlmWh0WgQFBSEhIQErF+/HosWLYJGoxnkHXYxOBKTlZWFnJwcnDhxYtC8DsyF4DgOISEhiI+PR0hICIKCgjBp0iT4+flBrVZDrVYPqXe8MK96vR4dHR1obW0VLcby8nLU1dXBYrEMsvRkMhkCAwMxadIkJCcnY9GiRVi2bBnkcrlD5eL/GA6/+gZqd7vdjkOHDuGtt97CmTNn0NXVhf7+fgD/9bq6ublh7ty5mD9/PmbPni2mcSqVStH7LpVKQUQwm81i4gXHcfDz80NcXNxFM/eEcZhMJuj1ehgMBvT396O2thZ5eXk4ceIEzpw5g46ODrG3eXd3N8rLy5Gbmws/Pz8sX74cK1asEDvYXq3HgO9HXb799lv85S9/QV5eHrq6utDX1wfgv/OqUqkwZ84czJ8/H3PnzkVERATc3d2hUCjEeb2SvnLCsUKY176+PtTV1YlWx9GjR8XEHq1Wi9raWuTn5+Pzzz9HYmIi7rnnHixbtsxp4voOrfEHem5zc3Pxxz/+Ebm5uejr6xM9uBzHQaVSISkpCWvWrMHq1atFE0xIkBl45hsYex/u7bwLhQuFEGB/fz+Ki4vx7bffYvfu3SgrKxPHOjAMmJqaioceeggzZ84UPchXE4KGz8vLw+uvv44jR46gp6dn0LwqlUokJCRgzZo1WLNmDYKDg8WQ60ABAzAignahebVarbBYLOjs7MSePXuwe/du5OfnQ6/XiwlDUqkUbm5umD17Nh5++GGxUrNDW3XkgAxsuXX06FHatGmTWHdOqNri7u5OkydPpmeffZaOHTtGfX19l1W8cbQKcQiFRAwGA9XV1dEf/vAHmjVrFvn6+pKbmxtJJBKxqlBQUBA9/PDDVFJSIo7dWQtt/BgDC3H09PTQiRMn6M4776SAgACxJJVUKiU3NzeKioqiJ598ko4cOSLO63hW5BlYQqyvr4/y8vJo27ZtlJCQQBqNhuRyuVhOzNfXlzZs2ECHDh2i7u5uh51XhxR8s9lMRUVF9POf//wHlUy8vb0pKSmJXnjhBaqvryez2UxWq1V8uUN9waNZgUdYKDabjSwWCxmNRsrKyqKnn36aEhISyMvLS2ygIJVK6eabb6ZvvvmGWlpanK7k1FCx2+3U3t5OOTk5dN9991FgYKA4ryzLkre3N02bNo22bdtGtbW1ZDKZBs2rIzCwgKbZbKb6+np65ZVXKD09nWJiYsjLy0vcwPz8/Oj222+ngwcPUktLi8NVE3IYU5++c9y1tLQgPz8f77//Pvbs2QOLxSIWZYiJicGyZctw6623IjQ0VIyZD8fEG8tCHDTAeVVVVYWPPvoImZmZqKqqQk9PDziOg6+vL9auXYu1a9di6tSp8PPzG/daAlcKfWc222w2aLVasYFES0uL6IT18vJCTEwM0tPT8ZOf/ASRkZFiMwlH/+1CyrDVakVubi6+/fZbHDhwAOXl5aLvyc/PD+vXr8ddd92FmJgYMWV73H/bOG46g7DZbFRcXEwPPvggBQQEiJrAy8uL0tPT6cUXX6Rz586JDQeuVAuMR809YdwGg4FOnz5NW7ZsoQULFohNMjiOo+DgYHrqqaeoqqrKYTTdcLHb7dTc3Eyff/453X777SSTyYhhGGIYhry8vGjJkiX0/PPPU2FhIRmNxhGZ17FGGLNwjDl16hQ9+OCDFBwcTACIYRiSSqW0bt06+uijj6i+vt4hegiOu/fBZrOhoaEBmZmZ2Lt3L/bs2QO73S46S1auXInU1FTR2+7MWlAYt0KhQGJiIqKiorB06VLs2LEDe/bsgU6nQ1tbG9566y309vbi3nvvRWxsrBhedJbfTd9p+pqaGuzYsQO7du0Sr9Kq1WrMnj0bK1asQFpaGuLj46FWq51CZssTJgAAIABJREFUw1+Igc5FqVSKxMREPPLII4iLi8OBAwdw7Ngx6HQ67N69GydOnMANN9yAn/3sZ5g6daqYMDYujNeOI+ySZ8+epV/84hc0adIkUcu7u7vT5s2b6dixY6ImGGkcpcouz/NUXFxMb7zxBi1atIgkEolo6dxwww20Y8cO8ezvDAzsovPwww+Tr6+vOK8KhYI2btxIubm51N/fP95DHVUMBgMVFhbS9u3bKTU1dVCT09WrV9Nf/vIXqq+vHzcLZ8wFXxD4pqYm2r59O2VkZAxql71kyRL68MMPqby8fFT7iDmK4BOdL82s0+koLy+PNmzYQCqViuRyOSmVSoqKiqJnnnmGtFqtwzv+bDYbtba20jvvvEMrVqwgPz8/4jiO5HI5XXPNNfTee+9RaWmp2BNhIiNsgL29vXT69Glau3YtKRSKQWXTH3/8caqurh6XLsJjLvhCW6UtW7ZQQECAGKKTyWS0atUqKisrI4PBMOoL3JEEn+i/C6Wuro527txJ8+bNE0N/3t7e9Otf/9ohvcNE/93M29vb6be//S2FhoaSRCIR53XFihVUUFAwJvPqiNhsNqqqqqLbbruNFAoFcRxHDMOQr68vPfbYY1RXVzfmm/qYCb6wODo7O2nLli2k0WjEcJZKpaKNGzdSdXX1mGkDRxN8ov8Kv9FopJMnT1JaWhrJ5XLRRNyyZQt1dnY6nOa32Wyk0+no97//Pbm7u4thOpVKRTfddNNVo+UvhpDb0dXVRf/5z38oJSVF3NTVajU98cQT1NzcPKab+pgIvrCge3p66De/+Q0pFAqSSqUkl8tp4cKF9Omnn1J3d/eYxmwdUfAHYjabKScnh9LT08UEEYVCQb/5zW/ELjPjLfzCvOp0OnrppZfEtl8KhYJmz55NO3fupI6OjnExZR0RoRnqqVOnaPny5WIXIbVaTU8//TS1tbWNWbekMRF8u91ObW1ttHXrVlIoFOKPzcjIoKysrHHplebogi8IVVZWFmVkZIhtxBQKBW3dulVsMjme2O12am1tpd/97ndiF1i5XE5LliyhAwcOjHvGnSMiZKUeP36cVq9eLb43hUJBTz/9NDU3N4/JvI6q4A88t/76178mpVIppmUuX75cXBzjgaMLvoDJZKIDBw7Q8uXLxU6zSqWSfv3rX1NdXd24aX6huelvfvMb8vT0FDsbL1myhHbv3i1u5i5+iGD6Z2dn05o1a8jd3Z04jiO1Wk2PP/44abXaUbeSRlXw7XY71dfX0xNPPEEeHh7EsiwplUpatmwZHThwYFwXhrMIPtH5sR44cICWLVsmmoceHh70xBNPjFtCSF1dHW3bto38/f2JZVmSSqViG2+LxTLm43FGrFYrHTlyhNasWTPI7P/Vr3416glc3NatW7eOVo5AXV0d3n77bfztb3+DTqeDRCLBokWL8NRTT2HRokWQSqWj9dU/Cn2XIrxnzx4UFRVBJpNhzpw54s0qR4JhGISEhCAiIgJarRYNDQ0wm80oLy+H1WpFdHQ0PDw8xH87mggJVzt27MA777yDjo4OcByHBQsW4Omn/397Zx4dVZnm/++9taUqO9n3pbJXyEYAWSQr0IJjqyNqt9M6M9pHHXuctvt0N9O/7hltT3dPt4fhjGO7DuCG0qi0giICWQyBQICELBCykJ3seyq13Kp7n98feK8JgmZPhdzPOTloDtR9677v8z7P+7zP8v+QlZW1qIOs5pugoCCEhYWhs7NTyv+/fPkyOI6DXq+fUPBzVpmL3UQ08V955RUKDg6W+rxnZWVRcXGxQ1xJLSaNL2K326m4uJiysrKk6zJfX1/61a9+NW+av729nX73u99RSEgIMQxDSqWS1q1bRydOnFjUbbwXEpvNRqWlpbR582ZSKpXEMAz5+vrSz372M2poaJiTZ86J4HMcRxUVFXTXXXdJ3ujc3FwqKysjq9XqEItjMQq+IAhktVqprKyMcnNzpTvhwMBAevbZZ6mjo2NOn22z2ejDDz8kvV4vpdJmZWVRSUkJWa1W+Uw/TUSHX0VFBd1xxx2kVqtJpVKRr68vbd++nTo6Omb93c6qDUFfFTBoa2vD66+/jqKiIgiCgNWrV+NPf/oTEhMT5Sq0M0As/ZSYmIg///nPWL9+PRiGQV9fH86cOYOurq5vlI6eLXieR2trKw4dOoSmpiYQEdLT0/H73/8eK1askDLqZKaOWLg1ISEBO3fuRGZmJgCgt7cX58+f/0ZLuNlgVmdKEAQpyWT37t0YGxuDRqPB008/LSUlyMwcsa3TCy+8gA0bNkChUKC+vh5Hjx6d0FhyNhA3876+Przyyiv48MMPIQgCdDodnnjiCSxfvnxR1ZpzVMTybxEREdixYwdWr14NAGhsbMThw4fR2dk5oWnITJk1waevupyWl5fj3XffhcVigVqtxj333IPU1FSpzLTMzBEzweLj4/Hb3/4WBoMBTU1NeP7557Fjxw6plPhsQF/Vsv+///s/vPTSS+A4Dk5OTtiyZQtuu+22SRW1lJkcoub39vaGwWCAVqtFW1sb/vjHP+KFF15Ae3v7rM3rrEiiuBO1tLRg9+7d6O/vh5OTEzZv3oxf/vKXCAkJkRfHHKBUKuHn5yel7losFvzlL3/BRx99NKEF2EzgeR719fV49dVXYbPZoNFokJOTg5/+9Kc3LEUuMzMYhoGbmxu2bt2KTZs2QavVguM47N69G++9996MmoaMZ1by8YkIJpMJr732Gg4dOgSGYbBy5Ur89Kc/lU38OUTs5nvfffdheHgYRUVFMJvNKCsrQ3d3NwIDA2f07kUr7tVXX0VfXx8AICkpCT/72c+QmpoqW3BzAMMw0Gq12LRpk1Rl6rPPPoPNZsOFCxfQ3d0NnU434yo+szJzPM/j7Nmz2Lt3L2w2Gzw9PbF161akpKTI5785RGz0sHXrVjzyyCMIDg4GEeHUqVPIy8ubkVkonu0rKyvxt7/9DXa7HW5ubti0aRPWrl3rcLEOtxJiNeaUlBQ8+OCDCA0NBRHh7NmzKCgomBUfzowEn76qp1ZTU4M//OEPGBoaAsuyMBgM2Lx586zXrpO5MUqlEnq9HikpKXBzc0Nrayvy8/NRW1sLm802LZOfiHDp0iX8/ve/x/DwMHQ6He644w7ce++98rl+nhA79yYlJUGn00nzevHixRkf5Was8S0WC1588UUUFRXBbrfD09MTubm5iI+Pd+y64rcQYk/3p59+WmrqkJ+fj+eeew6XL1+e8gIhInAch5dfflmyHEJCQvCTn/wE8fHxc/QtZG5EREQENm7cCF9fXwiCgMLCQvzmN7+Z1ryOZ0aCLwgCioqKcPToUQiCABcXF9x333344Q9/KJuC8wjDMHB1dUVqaioyMjKg0+nQ09ODoqIilJWVTflu3263o6SkBPn5+bDZbNBqtfje976H5ORk+Vw/z7i6uiItLQ233347PDw80NfXh+LiYpSWls5I6097FumrFlRvv/02ent7QUQICAjAv/3bvyEwMFA2BecZ8YovLS0N6enpYBgGJpMJxcXFuHLlypQWiMViwfvvv4/Ozk4AgJeXF/7pn/4JTk5OsuDPMwqFAvHx8fiP//gP3H333VCpVLBarThx4gRqa2un/bnTnkW73Y6CggKUlZXBZrNBrVbj/vvvR0REhOzFXyBYlkVaWhqysrKgUqlgsVhQUFCACxcuSK2pJkNxcTFOnToFs9kMlmXx0EMPISoqSt7MFwDR0efv74/09HRoNBrwPI/8/HyUlZXNv8YfHR3FBx98gI6ODjAMA19fXzz66KNyZtYCIgaArFu3DpmZmWAYBgMDA8jLy0Ntbe13LhJBEGA0GqWwXOCatn/iiSekRhAy8484r6tXr5bmVWzwOV3n7bQF//Tp0ygvL4fVaoVCocBTTz2FgIAA2RRcYEStn5OTAxcXFxiNRpw4cQLV1dXgOO5bF4ndbsfJkydx5swZWCwWqFQq/PjHP4avr688rwsMy7JITExEZmYm3NzcMDY2hi+//BKXLl2a1rXtlGdTDOo4f/482trawDAMIiIi8NBDD8kmvoOgVCqRlZUlJfF0dXWhoKAALS0t3yr4Q0NDOHbsGBoaGsAwDCIjI/GjH/1ItuIcADGWf8OGDcjMzATHcTh37hzOnTsntRSfCtMS/J6eHly8eFG6t7/vvvvg5eUlLxAHQFwg8fHx2LBhA3x8fDAyMoKamhr09PR8q3a4fPkyTp48CZPJBIVCgUceeQRBQUGytncQGIZBXFycdKXa19eHY8eOob6+fsqfNeUZ5Xke1dXVqK+vl66RNm/eLC8OB0OhUCAnJwcrV64EAAwODqKhoQEjIyPf+LvivX1tbS1qa2ulBbZp0yY5jdqBEM/6ERERCAkJgdVqxZUrV9Df3z/lzL0pS6vFYkFlZSWam5sBAMnJyYiMjJQF38FgWRZhYWEICAgAwzBob2/H8ePHpSu68RARBgYGUFlZicHBQbAsi40bN0qx/rLgOwYMw4BlWWRmZmL16tVgGAaDg4Ooq6vD4ODglD5rytLa1dWFiooKGI1GsCyL3NxcuLm5yYvDwWAYRmrOGRERAYvFgu7ubpjN5m9oBkEQ0NLSgvPnzwMA3NzcsH79eri6ui7E0GW+BYZh4O/vj+zsbOj1+gn+m6nE8E9J8IkIzc3NKC8vBxHBzc0N69atk7KFZBwHUfAzMjKwfPlyAEBbWxvKysowMjIyQfg5jkNdXR0uXboEADAYDIiIiJBDrh0QMVArKysLKSkpsFqtuHz5MoqLi6ek9Sct+GKkXm1tLerq6sAwDNLT0+Hn5zfjFEGZuYFhGOh0OimppqGhAYWFhejv75/g5BsaGsLp06dhsVgAXEu99fPzk49vDoo4rxqNBgDQ1NSEvLw89PT0TPozJj2zYlmt8+fPw263S1cLXl5estA7KAzDwN3dHVlZWYiKigLP87Db7d+o3zY8PIxz586B53kolUrExcVh2bJl8rw6KKKTz8nJCSqVSnLOTiUnY8qCX1VVBQDw8/PDihUr5HOgg+Pq6orbbrsNERERAACz2YzR0VFJ4wuCgP7+ftTU1ICIEBwcjJCQENmb78AwDAMXFxdkZmbCYDCAYRhYLBaMjo5OuijnpAWf53lcvXoVjY2NAICEhAT5jncRIN7rsywLhmFQU1OD/Px8jI2NSce3qqoqKS4/KioKAQEB8z5OnucxODiItrY2mEwmcBwnZZ/NRdXgxcx4x21ISAiICHV1dfjyyy8xPDw8qfc1ae+N2WyWFggAhIeHw9vbWxb8RYBWq0VAQABcXFzQ3t6O6upqWK1WEBEsFguqq6tBRFAoFIiOjoa/v/+8jk80Vd9//31cvHgR0dHRCA4Ohl6vR3h4ODw8POZ1PIsB0a/GMAyICJ2dnaipqYHJZJrU+5qS4F+8eBGCIEChUCA0NBSenp6yOejgsCwLX19fZGRk4OTJk6irq4MgCNIPx3FoaGgAADg7O0Ov18PT03Nex0hEKCwsxEsvvYSWlhawLAt/f3/o9XqEhYUhOjoasbGx0oagVqvBsuySjzFwdnZGdHQ0vLy80N3dPSXLaNKCb7FYpEXj4eGBgIAAODk5TWvAMvMHwzBwdnZGSEgI3N3dpWCe+vp6eHl5SdFfYj0FvV4/79d4RIQjR46gtbUVFosFgiCgoaFByhnw8PBAcHAwgoKCEBkZCYPBgJSUFMTGxsLDw0MS/uv/vNVZtmwZsrOzUVJSgu7ubgCYtPBPaoaJCEajUdIMQUFB8PPzm+ZwZRYSQRBQXl6OwsJCpKWloa+vD729vQAAd3d3eHl5zfvxjWEY3HvvvTh8+DCam5snXDUSEYaHhzE6Oora2loUFxfDw8MDy5Ytg7e3N+Li4pCeno709HSEhYVBo9FAoVAsCWtArVbD19cXzs7OAK413ygvL4ePj8931rv8TsGnr7rKNjQ0wGQyAbjmKRYfJrN4EM+DRqMRw8PD4Hkely9flpxorq6uC3J8E8uxP/PMM/j5z3/+Dc+0eCwBrgUbGY1GtLe3g2VZnD59Gh999BFcXFwQGRmJtWvXYu3atVi9ejW0Wu2Es/D4n1sF0WkLANXV1SgsLERGRsbsCL7dbkdFRYX0u1vt5S0FxDhvUfjFe3rx+AZcOzO6urouiOA7OTnhkUcewdGjR3H48OFJ1ZMTBAFmsxlWqxX9/f1oa2tDcXExWJaFUqmUUlizs7MRFRUFpVIJpVIJlmVvCaf09ZsZx3EwmUyz59UXBGFaOb8yjkNwcDCys7PR2NiIzs5O6Z5+fPjuQml84JrmUqvV+MUvfoGioqJJX0uJFun1MAyDI0eO4Pjx41Cr1QgPD8ftt9+O22+/HcnJyXB3d4dWq5WOBuM3g8Wi1MS4/YyMDFy8eBE9PT2Tnr9Je3Hku9TFjb+/P1atWoWPP/5YEvzxsCwLNze3BdH448eQlJSEO++8E++9996MPku0VHmeh9VqxcWLF3Hp0iW8/vrr8PDwQEpKCtauXYu0tDQEBwdL/g0XF5dFU1BGvLFJS0uDj48P+vr6oNFoZlfwb0XGm0k2mw01NTU4cODALVkaXBAEXLhwQYrTb2howCeffIL6+nrwPA+WZdHa2ooPPvhgwcYoCqurq+usKJrxwT/jHYZ9fX3Iz89HUVERNBoNIiIiEBUVhZSUFKSlpSE1NRU+Pj6LYgMQo/asVqsUwz+ZY8ySFnwA8PDwgJeXF3p6evDxxx/jk08+WeghzSmiMLz88st45ZVXJgjHwYMHcejQoQUe4USBnQtEZ6HdbofVakVFRQUqKipw4MAB6PV6/OY3v8E999yzaMLRLRaLlGDl4uIia/xvQ0x02LZtGwICArBjxw4MDQ3dskcaUZiIaIKjb7wmdBSnlyiY8zEX4jNEYenp6UF3d/es9KebL0wmkxRRK5v634Eo+KtWrUJgYCCam5vR09Nzywq+IAhobGxEbW0tOI7D2rVr4eXlhYsXL6KxsRHOzs4wGAwLEqc/HiJCd3c3SkpK5uwZNwr40Wg0CA4ORkZGBjZs2LCo+j5aLBZJ8F1dXWVTfzIoFAr4+/tj+/bt4DhuoYczZ3AchzfffBMtLS2w2+14+umnkZCQgP/+7/9Ga2srfH198fDDDyM3N3fBxihez+3YsQOnT5+e9U1YtHTEa72QkBCp85Ber0dgYCB8fX3h6+u7qPw8ZrMZFotFUmaTYckLvniHHBoautBDmVPMZjPUajVsNhtYlkVsbCz0ej3c3d2lqzQ/Pz/o9foF8eqLjr2mpiYUFBRM+3PGa/Hrf1xdXZGQkICcnBysW7cO4eHhcHFxgYuLC5ycnBZtxSHxjK/VauHt7T0pp+Ti/KYy04LneelMf/2dtXimvv7MO9/je+mll2Z05BKTd5RKJTQaDZKSkpCRkYE1a9bAYDBIIcnij2gFLEbE7Eqj0Sj5bmSNLzOB0dFRDA8PAwA8PT0nLBAiQl9fH4qKipCSkoLw8PB5FXyxLsAXX3yBXbt2fWfUnqjBRSFXq9XQarWS5bZy5UqsWbMGK1euhLe39y0XsTcem80mHVHFrMXJIAv+EmH8Arm+D55YXvvcuXPo6OhAaGjovAoIz/MoLy/Hv//7v0slpG6GWGzS29sby5Ytg5+fHxITE7Fq1SqkpaVNqB50fWz+YonImyxEhLGxMWlDd3Nzm3SPQ1nwlwgWi0VKshKLb4qIJv74ZJj5RBAEfPjhh+jo6Jhw1BA1ularhZeXFzw9PeHt7Y3g4GCkp6fDYDAgKioKHh4eUkbe+KSVpQDHcbBarQCubeiyxpeZAMdxUpCHu7u7Q0WlKRQKrFu3Dn/729+kfg0uLi7Q6/WIjIxETEwMYmNjpao8ISEhExb4UhL08Yhn/LGxMQDXgneUSuXsaHyxZltkZCQCAwPR1dU18xHLzDtms1nS+GKuuqhVF/rcKzZmefLJJ3H+/HmEhIQgKioKkZGRCA0Nhb+/P5ycnCZU3Vmqwj6e8SnWACSLZzJMSvBVKhUyMzORl5eHL774YmajlVkQRkdHMTQ0BODaWVAUoNjYWISHh6Ourm7BxiZetT322GO4++67JbNeFu5vR/TNiMrYzc1t0l79SW0PDMPAy8sLbm5u0gOvv/6RcWz6+vrQ3d0NQRAkBxDDMMjOzpYaay40Hh4e0Ov1E8ppydwcQRAwMDAgNdJQq9WTPsJNWvDHm1ednZ0oKyvDwMDANIcsM5+ImkFcIM7OzpKJ7+HhIaXiirntC7GZO9LRY7HAcRx6enqkWhk6nW7SXv0pv2FBENDc3Iwvv/zyO/utyyw8ogOot7cXZrMZDMMgMjJSar80no6ODhQVFcl+nEWC0WhES0uLJIPx8fGTbmA7acFXKBTQ6XRQq9UQBGFCFJiM40JEGBwcRHt7+4Ta+WKF5PHWXHd3N06dOjWlHmwyC4fRaERra6t0fEtISJh0IZVJC76zszNyc3NhMBhmNFiZ+UU8B7a3twOAdE0mVuARK+/odDopXl7e0BcHQ0NDuHTpEogI4eHhCAwMnPR13qQFX6PRIDExESEhIQCAkZERdHV13dIZbbcCPM+jubkZ1dXVAICIiAh4eHhIgS7Xt9IeHR1FT08PLBaL7Lh1UMQNurOzE83NzdLtjI+Pz6SdopMWfPE+X/zg2tpa5OXlSXeIMo6J0WjEhQsX0NnZCQCIiYmRKuwyDAO1Wo24uDhpQ79y5Qq+/PJL9Pf3y4LvoBARTCYTqqurYbFYpGxLb2/vSX/GlARfbLHk4+ODwcFBNDU1wWw2ywvEgRkaGkJpaSl4ngfDMEhISPhG0wytVouYmBj4+vpiaGgITU1NGBsbk01+B0VsMlJaWir1Q4iOjpau2yfDlATfy8sLmZmZiIqKAhGhtbUVtbW1sNlssvA7KMPDwygvL4cgCPD09ERkZCScnZ0nmIRubm7Izs5GbGwsBEFAR0cHampqpBhwGcdC7Fx97tw5EBFCQkIQHh4+pXoCUxJ8MStKLEIodu6Qtb7jIXagvXLlCnp7eyVz8EatzVUqFXx8fKSyTTU1NcjLy5NiwGUcC7vdjpMnT6K/vx8AoNfrodfrpxT/MKV7fIZh4O3tjVWrVsHX1xdjY2MYGhqSNb4DIqZsnjlzBna7HSqVChs2bEBsbOw3/q5ozaWnpyMgIABjY2MYGBiQ59UBISLYbDYcPnwYPM9Dq9XCYDBMOZV6ygE8AQEByMnJQXBwMIgI5eXlKCoqks+DDgbP8+jq6sIHH3wAIkJcXBwyMzPh7u7+jb/LMAx8fHyQkZGBiIgIANesuZMnT4LjOFn4HQQxVL6jo0MqRhoaGorExMRJX+OJTFnwxfxoZ2dnKBQKVFZWoqCgACaTSRZ+B0IQBOzbtw89PT1gGAYxMTFITEy8YSy3GCqr0Wjg6uoKpVKJmpoalJSUyFrfgRC1/b59+2C328EwDKKjo7F8+fIp5zZMWfBZlkV4eDgyMzPh6+sLnudx4sQJFBYWzlstdJlvRyxldejQIakzzfLly294vh9PcHAwcnNzERAQAJ7nMTIyckv3GlhsEBGam5uxZ88eCIIAFxcXJCUlSVexU2Fa2RA+Pj5Ys2YNYmNjoVKpcPnyZVRXVy+qJgS3KmKiTVVVFWpqasCyLGJiYrB27drv1Are3t5ISkqCp6cnAOD06dPIy8tbsMQdma8Rtf0bb7whWXEhISHIzs6eVinwKQu+aBbGx8cjNzcXbm5uEAQBbW1t6OzslBfIAiMm5ezatQs8z8PFxQUZGRlITU39zn/Lsiw8PT0RHBwMjUaDhoYG5OfnTyiJJbMwCIKAy5cv4+OPP4bNZoNGo8GaNWuwevXqaVVTmnb+o7e3N9asWYOEhAQolUoUFBTg5MmTsnZYYIgIpaWl+PzzzwFcM9///u//Hs7Ozt/5bxmGgV6vR1ZWFry9vUFEKCoqQlFR0aT61cvMDeJm/tZbb6GnpwcsyyIwMBAPPPAAtFrttGoXTFvwlUolkpOTkZWVBScnJ7S1taGgoAC1tbWyk2+BEM/2b7zxBgYHB6HRaJCTk4Pk5ORJBXeI+fnp6elIS0uDWq1GR0cHCgoK0NDQIAv+AkFEOH/+PPLy8mC1WqFSqbB582akpaVNu2DJtAWfYRi4ublh7dq1WLFiBQRBwKFDh/Db3/4WFy9enO7HyswAjuOQl5eHkpISEBH8/Pzw8MMPS5l4k8VgMCA3N1dqV52fn48zZ87IztsFQAzE+uijj9Dc3CyF6D766KPQ6XTzL/jANQ2xatUq5OTkgGEYDAwMoKqqCpcvX5YXyTxDRCgrK8N//dd/oaurCwzD4L777kNMTMyUF4eLiwtWr16N3NxcqFQq9PX14fjx4ygrK5MduPMMz/M4e/YsTp06hbGxMbAsi23btiEuLm5mlZJpBgiCQHa7nYqLiyknJ4dUKhV5enrSU089RXV1dWS322fy8TKThOd5MplM9Pjjj5NOpyOlUkne3t7U0tIyrTkQBIFsNhuNjIzQQw89RGq1mpycnGjdunVUWlo6B99A5mYMDw/Tz3/+c3JzcyOFQkG+vr7U0NBANpttRp87I40vevjT09ORlZUFZ2dnjIyMoLi4GFVVVXJO9zzB8zyKiopw9uxZWCwWKJVKPP744/D395+WVhBTsDUaDdLT06HVamG329HT04Pa2lqYzWbZjzPHCIIAq9WKwsJCFBQUwGq1wtXVFT/5yU++Mx5jMiieffbZZ2fyAaIZ6eTkhKamJly5cgUcx2FsbAx+fn4ICgqakMcvM/v09fVhz549yMvLg91uR1RUFHbs2CF1wp0OYr6+RqNBY2Mjrly5IrXhWrZsGQIDA6fsO5CZPHa7HdXV1fjzn/+MU6dOQaFQ4MEHH8Svf/1ruLi4zFjwZ6WTDsuySE5ORkZGBiorK9HT04NPPvkEOp0OkZGRCAsLc6jOLbcKPM9jdHQUn3/+OY4dOwaO4xAYGIh//dc8NHIlAAAQhklEQVR/hb+//4wXB8MwMBgMyM7ORnV1Ndrb23H48GGwLIuwsDDEx8fLG/ocQF/l2x85cgQlJSUQBAHh4eH4x3/8R7i4uMzKO5+VOsaiZtiyZQuefPJJBAcHw2azoaGhAVVVVTCbzbPxGJnrMJlMOHbsGF5++WUpSu/BBx/Etm3bpM4zM0FMxb7jjjvw1FNPwd/fH3a7HVeuXEF1dTVMJpN8lJtl6Ks7+4KCAuzbtw+jo6NQKBS4++67ERsbO6Wc+29jxqY+8LW57+XlJXkbL126hN7eXjQ0NMDT0xNhYWFTziCSuTH0VZZWXV0dnnvuOZSVlUEQBKSlpeGZZ55BeHj4rFpYnp6eCAgIQEVFBRobGzE6Oorm5mbodDqEh4dL3WllZg7HcTh27Bj+9Kc/obKyEgqFAgaDAf/yL/+C2NjYWWsKOmtNMxmGgVKphJ+fH7KysvD555/j1KlTKC4uxtDQEFiWxV133TXpgv8yN4e+yrU/fPgwSktLpXP9k08+icTExGnFbt8McV7d3d2xfv161NbWoqGhAadPn0Zvby8UCgXuvfdeaDQaeV5niGjiv/DCC9JmHhkZiccff3zSQVhTedis09raSr/73e9Ir9eTQqEgtVpNer2eDhw4QGazmXien4vHLgl4niez2Uy7du2i4OBgYlmWoqKi6LXXXqP+/n7ieZ4EQZj153IcR52dnfTmm2+SwWAgtVpNSqWSoqKi6NChQzO+XlrqiPP60ksvkU6nI5VKRaGhobRz507q7++f9avxORF8juNocHCQXn75ZYqIiCClUklKpZICAwPpwIEDZLPZ5mRx3urwPE8Wi4Xee+898vb2JpVKRWq1mn784x9Tb2/vvMRNjIyM0JtvvklxcXGkVCrJycmJtm/fTiaTSd7Qp4k4r3/961/J19eXFAoFabVa+uEPf0htbW1z8sw5EXxBEKQd7JVXXqGwsDBSKpWkUqkoLCyMCgsLZQ0xRcT3+dZbb5GzszMplUpSq9WUkpJCBw8enDNNf6NxWK1W2rVrF0VFRUmBPfv376exsTF5Q58igiDQ2NgY7du3j7y9vSUlaTAY6MCBA8Rx3Jw8d04EX0TcyV588UUKDw8npVJJXl5etHPnTuro6CCj0Shrie9AEAQSBIEGBwdpz549FBAQIAm9wWCgN998k8xm87yPa2xsjJ5//nny8fEhtVpN3t7e9Oqrr9Lg4KAcsTlJ7HY7DQ8P0zvvvEMRERGkUqlIpVJJRzeO4+ZMPmbFq38zxMi+1NRUaLVaVFZWYmRkBIODg6ivr4cgCAgMDJT6uMl8EyLC6Ogo9u/fj+eff15qaBkdHY1f/OIXeOihhxbMqz40NITz58+jp6cHZrMZZWVlcHNzQ0REBFxcXOZ9PIuNoaEhHDx4EH/4wx/Q1NQEIkJYWBi2b9+Ohx9+GCqVas46B8+p4ANfC39SUhJcXV1RU1ODmpoaXLhwAZcvX4aXlxdCQkKgVqvl9sjjoGvWGPr6+vDRRx9h586daGlpAcuyiI6Oxvbt2/HAAw8smNCLDVa8vLzQ0dGB3t5eqbuLyWSS6veNb84pcw2e5zE4OIiDBw9i586dqK+vB3BtM//lL3+JH/3oR3Mq9ADmxqt/IwRBkM6GMTExxLIsMQxDK1asoL1799LQ0NB8DWVRwPM89fX10f/+7/9STEwMKRQKYlmWkpKS6P3335+zs99UEJN5jhw5Qo8//jjp9XpiWZZ0Oh2tWrWK3nrrLRoeHpbP/dfR19dHr7/+OiUnJxPDMMSyLMXFxdE777xDHMfNy/uaV8HneZ6GhoZo165dlJiYSCzLklqtptTUVNq7dy8NDw8v+TM/z/M0OjpKX3zxBT3xxBOS0Gs0GkpNTaX9+/c71JUoz/PEcRx1dHTQ7t27KSkpiTQaDSmVSkpKSqLdu3fTwMDAvDkfHRVBEMhkMlFeXh499dRTFB8fT2q1mhQKBSUnJ9M777wzrz6veRN8EZ7naXh4mHbv3k2xsbGSJktMTKQ9e/ZIi3qpLRJxYxSvddLS0kir1RLLsqRQKCgtLY0++OADMhqNCz3UmzIyMkLvvvsuJSUlEcuypFQqKTo6ml577TUyGo1kt9uX7LxyHEcHDx6ktLQ0cnZ2JpZlSaVSUWpqKu3bt49GR0fndTOfd8EXX8TAwADt3r2bEhISpCCf0NBQ+v73v08FBQVz6tF0NEST2Wg00u7duykiIkLSBk5OTrR27Vr65JNP5n1xTBXRS713715avny59B2Cg4Pp7/7u7+j48eNkNpuXlPBzHEdGo5HeeecdioqKkmIvwsPD6de//jWdO3eORkZG5l3Zzbvgi/A8T2NjY/T2229TXFycFAnm5OREUVFR9OGHH5LJZCKO425ZTSEWMrFYLFRUVETf+973yNvbmxQKBSmVSgoNDaXnnnuO6urqyGQyLfRwJ83o6Cj99a9/pZSUFGleNRoNhYWF0bvvvivN661q2YkbucVioWPHjtGdd95JPj4+0nVdeHg4/c///A8NDg4u2Ea+YIIv3k9brVZqbW2lX/3qV+Tn50cqlYqUSiW5ubnR1q1b6ejRozQ8PHxLCr/VaqWhoSF67733KDo6WhISpVJJkZGR9Prrr5PJZCKbzebQmv56RNO2ra2N/vM//1OKPVCpVOTq6kq5ubn02Wef0fDwsEM4KWcTQRCI4zgqLS2l+++/n5YtWybNq06no5iYGHrjjTfIYrEsaLzDggn+eETt/+KLL5LBYCBPT0/J/Pf19aVHH32USktLaWRkZFFrClHDm0wmamtro4MHD9I999xDXl5ekgno4+ND6enptHv3brJarYtK4K/HbreT2WymHTt2UFhYmCQAKpWKvL296R/+4R/o5MmTi/78L86r2Wym9vZ2OnjwIGVlZU34vv7+/vTMM8/QlStXyGKxLPh3ZYgcI6FaEATwPI/Ozk785S9/wd69e9HV1QUiglKpREZGBrZt24akpCQEBQUhMDBw0d378zyP1tZWlJeXY9++fcjPz8fQ0BAAwMPDA/Hx8fj+97+PH/zgB/Dz81v0lYvoq1gEm82GvXv34u2330ZdXR26u7sBXLvb37BhAx577DGsXr1aKtiymL6z+B3b2tpQUVGB/fv348iRI1LrMU9PT8TGxuIHP/gBHnvsMel+fqG/o8MIPvB1nvnIyAjeffddHD58GFVVVejr65M2gPj4eKxYsQKbNm1CSkoKQkJCpDz/hX6Z4xEXBM/zsFqtaG9vx4ULF3D48GEcP34cfX19AK4t/tDQUNx///14+OGHERYWdssFMwmCALvdjqtXr+Ljjz9GXl4eKisr0dXVBYVCAXd3d2RnZ2PLli1IS0tDSEiIVEjEESs3iUrKarWio6MDFRUV+Pzzz/HFF1+gv78fdrsdCoUCgYGB2LZtGx555BHo9Xop2MoR1qlDCb4IEUmVXo4ePYpjx47h5MmTknZkGAb+/v7YuHEjNm3ahHXr1iEwMHBW89BniiAI6OzsREVFBcrLy1FRUYGCggIMDAxIhSr9/f2xdu1a3Hnnnbjrrrvg6el5Swn8jbDZbGhpacHRo0dx9OhRlJSUSL3gPD09kZWVheTkZKSmpiIhIQGhoaGzm4c+C3R0dKCqqkqa1/z8fPT19UEQBKkN2fr167Flyxbcdddd8Pf3X+ghfwOHFHzg6+aPZrMZjY2NKCkpwZEjR1BUVASj0QgigkqlQlBQEJKSkpCYmIi0tDQkJCQgICAAKpUKCoViXkxHQRAmaIGrV6/izJkzyMvLw8WLF9HY2ChVphW71WRlZWHjxo1Ys2YNwsPD4eTk5DDaYC4RrTqz2Yzm5maUlJTg6NGjKCwsxOjoKABArVYjMjISERERMBgMWLFiBVJSUuDn5yfN61y/K9FiE+eV4zh0dHTg7NmzOH78OKqqqtDU1ASTyQSe58GyLFxdXZGZmYnNmzfjtttuQ0REBLRarUNaLQ4r+OOhr1pDNTY2orS0FO+//z4KCwsn9Olzc3NDYGAg/P39ER4ejuXLlyM5ORkGgwHLli274SKZzMK50d8RFwUAqWFoQ0MDKisrUV1djZaWFjQ3N+Pq1avgeV5apG5ubtiwYQO2bduGlStXSibtUsZsNqO1tRWlpaXYv38/jh49Ks0rwzDQ6XQIDg5GUFAQVq1ahfXr1yM6OhphYWE3Ff6ZzCsAqRnM1atXceXKFVRUVKCqqgrNzc1obW1FR0cHOI6Tnu/i4oJ169bhgQcewMqVKxEREeHw5cgWheADX1sAFosF3d3dKCsrw549e3D27FmMjo5Kk8WyLNRqNVxcXODi4gJPT0/ExMQgPT0dsbGxUtaYmGSi1+snTNB4x8v4P8cvsqtXr+LEiRMoKytDeXk5BgcHYTKZYDQaYTQawXGctIjUajXWrVuHjRs3IicnB8uWLYOPj490hnXkxTEfiFpVnNfKykrs2rULZ86cwejoKOx2+wQB8/DwgE6ng7u7O1JTUxEXF4fIyMgJ86rT6RAdHS094/r5E38nHqsYhoEgCOjt7cWJEydw7tw5XLhwAX19fRPm1WazgYigUCjg7OyMtLQ0ZGVlITc3F97e3vD19YVGo1kUDspFI/jjoa/6iY2MjKCtrQ2ffvopDh8+jEuXLsFqtUoaWfxqKpUKGo1mQsaT2DTi+kkKCgpCUFCQ9P8MwyAuLg6urq7S75qbm5GXl4f29nbpeeMXF8MwcHd3x/Lly/HP//zPyMjIgIeHh9TZ1NEXxUIh3gCMjo7i6tWr+PTTT/HZZ5+hurpaas4i/jAMA7VaDZVK9Y15ZVl2QmFXhmHg5+eHkJCQCb8bP6+iTyYvLw9NTU3gOA6CIEyYU7VajdjYWGzZsgV33nknwsPDodPpoNPpFp1vZlEKPvC1phh/vq6ursann36KwsJC1NXVwWq1guM42O12SXOM52Zm4vWa4WbPFheYWq2GRqNBTEwM1q9fj9tvvx3Jycnw9PScsLnIQv/dXD+vgiDg0qVL+Oyzz6RuzCaTCTabDXa7/Ya9/G42z5OZV1Ecxs+rXq9HZmYmtm7ditTUVCgUCrAsK1lsi3FeF63gX4+4YMQFITpiLly4gMbGRtTX14PjOFgsFlgsFslsE/0H4xeQ+ErGvxqWZaXjg1arhVqtRnR0NCIjI5GSkoKVK1ciMDAQSqUSSqVSWhgyM0fcuO12Ozo7O3H+/HmUlZWhqakJdXV14DgOZrN5yvMqHg1dXV3h7OwMnU4nORb1ej2Sk5OxatUqBAUFQaVSSXN7K3DLCL7I9Y438XcmkwldXV2or69Hc3Mzuru7JY3R3NwsNf0wmUzSf9vtdoyMjAAAnJ2dkZ2djQ0bNiAmJgb+/v4T2hSPNzXH/ykzc64X2PHzajab0d3djfr6ejQ1NaG7u1vysTQ3N0tNPywWC8xms3ScMBqNEAQBWq0WOTk5WL9+PeLj4+Hv7w9nZ+eb+ndulXm95QT/ZlxvQl6/QYj/PTAwgIGBAQCAxWJBR0cHiAhqtVq6Vx5v5sksLOMDpW42r/RVvfr+/n5pE+jq6oLdbodarUZ8fLwUNbhU5nXJCP5UuNkrWQoL4lZGntevkQVfRmYJInufZGSWILLgy8gsQWTBl5FZgsiCLyOzBJEFX0ZmCSILvozMEkQWfBmZJcj/B+7az4owtlcNAAAAAElFTkSuQmCC)
or ![V equals fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent](data:image/png;base64,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)
The fraction of the total volume occupied by the sphere is
![ϕ equals fraction numerator fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent over denominator a to the power of 3 end exponent end fraction equals fraction numerator pi over denominator 6 end fraction equals 0.5236 blank o r blank 52.36 percent sign](data:image/png;base64,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)
In a simple cubic cell, an atom at the corner contributes to the unit cell
chemistry-General
chemistry-
Sketch shows the plot of Zvsp for a hypothetical gas for one mole at
three distinct temperature
![](data:image/png;base64,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)
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)
Boyle’s temperature is the temperature at which a gas shows ideal behaviour over a pressure range in the low pressure region. Boyle’s temperature
. If a plot is obtained at temperature below Boyle’s temperature then the curve will show negative deviation in low pressure region and positive deviation in the high pressure region. Near critical temperature, the curve is more likely as
and the temperature above critical temperature curve is more like
at ![0 ℃](data:image/png;base64,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)
For 500 K plot value of
changes from 2 to 2.2 if pressure is varied from 1000 atm to 1200 atm (high pressure) then the value of
will be
Sketch shows the plot of Zvsp for a hypothetical gas for one mole at
three distinct temperature
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMAAAAE/CAYAAAAQb8x/AAAgAElEQVR4nOydd3Rb53n/P9ggCJAEuElwS+LQoGhqmJq2huUh1yuOHTWJVxzHTuI2jt2m7XGOTtORNG3dNK3t5KR2bCdRXFuJIztxIi9ZskQNmiJFiXtT4gIIgACxgXt/f+iHW9Ha4hAp3s85OnFA4N4XF+/zjud9nu+jEEVRREZmjqK82g2QkbmayAYgM6eRDUBmTiMbgMycRjYAmTmNbAAycxrZAGTmNOqr3QCZySMcDgOgUqlQKsePbdFolGg0ilarHfe6IAhEIhHUavVZn4ldMxKJIIoiSqUSrVYrfUYQBFQqFVqtFoVCMXVfbAqRDeAaQBAE2tvbaW9vx+v1YrVaKSkpISkpCVEUGRwcpK+vD6VSSUJCAgUFBWi1WjweD4ODg4yMjKBQKFiwYAEJCQmoVCrp2gMDAzQ0NODz+cjIyKCiooJgMMj+/fsJhULk5ORw3XXXodForuITuHJkA5jliKKIz+fjP//zP+nu7ubUqVPEx8fz7W9/m61btzI2NsaOHTsIhUIsWLCA3bt3s337dlJSUmhpaeFnP/sZmzZtora2loqKCjZt2oTZbJauHw6H+fjjjzl8+DBf//rXEQSB0dFR/vd//5dgMMjXvva1q/jtJ468B5jlhEIhuru7efTRR/nVr37Fjh07WL58Oa+//jrhcJj9+/czPDzMnXfeydq1awH44IMP6OvrY//+/WRmZnLHHXfwhS98gV27dlFfXz/u+oWFhZSUlDB//nwqKyuJj4+noaGBZcuW8U//9E/ceOONs3b0B9kAZj0ajYb58+dTWlqK0WgkKyuLG264QVrGHDhwAIPBgMViQafTUVRUxMcff8yJEydoaWmhsLAQtVqN1WrFZrPR3Nw87voKhUL65/f72bt3L62trdx1113k5uaec98wm5jdrZdBqVSi0+nQarUolUr8fj9jY2Ns2bIFtVrNwMAAcXFxxMXFoVKpyMrKwuv1MjIywujoKGlpaSgUChISEggEArhcrnPeZ3h4mN27d1NXV8fdd99Neno6Op1umr/t5CMbwDVEJBJhZGSEoaEhNm7ciFqtJhqNolAoUCqViKJINBod979q9eltoCiK0r9zMTY2RnV1Nfv372doaEjyOM12ZAO4RhBFEbfbzalTp9i6dStZWVkAktsyHA4jCAL9/f3o9XpMJhMqlYpAIIAoing8HrRaLUaj8ZzXz87O5sEHHyQYDPLv//7vHDt2jNHR0fMazGxBNoBrAFEU8fv97Nu3j9TUVAoLCwkGg3g8HlavXo3P58PtdhOJRLDZbCxbtoySkhJKS0vp6upCEAScTidpaWnMnz//nPfQ6XQUFxfzP//zPxgMBp555hneeustgsHgrDYC1fbt27df7UbIXDkxN+g//uM/0tTURHd3N3v37mXnzp1cf/315Ofnc+TIEYLBIGq1mp07d/K1r32NwsJCvF4vH374IaWlpbz11ltkZmayefNmTCaTdH2Px8O+fftobW1l6dKl5OXlsWrVKg4ePMgbb7xBMBgkKyuLxMTEWbkhlg1glhONRmlra6O5uRm1Wo1CoUAURXJzc1m7di0mk4mcnByGhoZwuVzceuutFBcXExcXh8ViISsri9bWVjIyMrjppptISUmR9gUAzc3NdHV1kZCQQDQapaCgAKVSydDQEGlpadLGe9GiRbPSABRySuTsJhqN4vV6cbvdCIIA/J9nKDk5GaVSSSgUwufzEQwGSU1NlTqqKIoEAgGcTicJCQmSp+hMnE4nPp+PaDSKRqPBYrEQjUbxeDwEg0HgdOhFZmambAAyMrMNORTiGiI2lk1GYJogCAQCASKRCHDam6TX6wHGbXxjAXLwfwF3MderRqNBqVRK7RFFkUgkIs0cGo0GjUaDIAj4/X7pWrGl3HQgG8A1hNfrRalUYjAYJnwtt9vNX//1X/Puu++iUql4+OGHefbZZ4lGo7z66qv09PSgVCopLy/nnnvuAWBoaIh33nmH5uZmLBYLW7dupbS0VDow8/l8vPvuu7zwwgtEIhHuvvtuPv/5z9PY2Mjf/d3fYbFYeOihh9i6dStxcXET/g6XgmwA1wihUIg//OEPlJaWsnjx4gldKxgMMjIywqJFi3jggQeIi4sjLS0Nn89HdXU1R44c4dFHH8XtdvP666+Tn59PeXk5r776Klqtlq9//ev09fWxfft2fvKTn5Ceng6cdqWuX7+eQ4cOEQgE2LRpEzqdDrPZzOLFi3nssccoKio6K2R7Kpl9uxaZsxAEgebmZlQqFWlpaRO+nsPh4LXXXqOhoQG73Y7VapVCKN59912ys7OxWq3k5+djMpn4+OOPsdvtvP/++6SkpJCXl0dhYSEtLS309/cTCoUAUKvVJCQkYDKZMJvNKJVKBgcHqamp4fHHH2fhwoWYzeazNuJTiWwA1wCCIFBbW0tpaSnJyckTvl4kEiEcDnPq1Cmef/553n33XWw2G6FQiPb2dubNmyedJhcWFnLixAn6+/tRq9UkJSWhVqvRarVkZmbS09MjGcCZuN1umpqa2LNnD8uXL2fp0qXTtuw5E3kJNMuJRqO4XC6Gh4elzjdRrFYr27dvZ3h4mJ07d/Lmm28SFxdHVVUV4XCYhIQE1Go1giCg0+kIh8OEQqFxG2WFQkFcXBzRaFRyz55Je3s7TU1N3H///cyfP/+qZZTJM8AsZ2xsjN/97nds3bp1UkZ/QPLgZGVl8dWvfpUlS5ZQV1d31vvC4TAul+ucRicIAi6Xa5wX6Exyc3PJysri+eef5xe/+AXRaHRS2n65yDPALEYURUKhEA6Hg6ysrEnfPCoUCnQ6HRUVFTgcDjQaDdnZ2XR0dHD99dfj8/kYGRmhtLQUq9XK2NgYdrsdOD0z2Ww28vPzpVnhTMxmMw888AAnTpzg5Zdfpr+/n8cee2zaD9TkGWAWMzo6SkNDA0uWLEGv10/aMmJ0dJTW1lbC4TB2ux2FQkFVVRVGo5GtW7fS2NiIw+FgaGiI/v5+brjhBlJTU1m1ahWjo6P09fVx8uRJiouLycjIGDdDxIw2EomQnJzMbbfdxhNPPMGHH37Id7/7Xerr6/H7/ZPyPS4FORZoFtPf389HH33E1q1biY+PnzQDGBoa4s0330ShUOB2u8nMzCQ3N5f4+HgyMzM5efIkfr+f/v5+CgoK2LBhAzqdjrS0NPr7+3E4HPT19bFu3TpKSkqkmSkcDtPe3s7+/fvxer1kZ2czb948zGYzBw4coK+vD6/Xi9lsJiMjY1pmAjkUYpYSCAQ4cuQIgUCAzZs3T+q13W433d3d+P1+cnNzSU5OljpxLO+gt7cXnU6H1WqVDt5EUWRgYICRkREMBoMUOBfD7/dz8uRJ7HY70WiUlJQU0tLSEEWR1tZWaR+QlpZGQUHBtOQaywYwS2lvb+fQoUNs2rRJOmiaCJMZRjGbkDfBs5S2tjYMBsOk+f2rq6txu92sW7duXD7AtY5sALOQvr4+nE4nVVVVE/L7i6LI6Ogo+/btQxRFrr/++nN6bK5lZAOYhbS0tJCdnT2hsIeYh+fTTz9Fq9WyfPly6YBrLjGt3zYajZ73YETm4giCgM/n49ixY5Ln50rw+Xw4HA4OHTpEdna2JG14qb+L3+9HpVKdpScaDAYJhUKoVKpxEalnhlbHx8ePi/UJh8P4/X7UajV6vf4sz08skScajaJWq6VwCb/fTyQSQavVYjAYrthwp80AotEoDocDi8UyrcFO1xLhcJiamhpKSkpITU297M+Lokg4HKajo4P6+nquu+46SktLL7njx+L5a2triY+Pl1IrY693dXXR0NBAXl4e5eXl6HQ6RFFkbGyMuro6BgYGWLt2LWlpaajVasLhMMPDw+zbt4/MzEwqKiowGo3jMtaam5s5dOiQ5B7dsGEDoijy3nvvSTqoW7ZsITEx8bKfB0zTQVgkEmFgYIA33niDsbGx6bjlNUkoFOLw4cNUVlZe0Q/u8/n4/e9/T3NzM5s2bWLBggWXNRsHAgH++Mc/8r3vfY99+/bh8/mkdu3evZvXXnuNxMREampq+PnPfy4l7L/44oscOXIEq9XKd77zHQYGBohEIhw5coTnnnuO9PR0GhoaePXVVxkYGJDup1AomDdvHuFwmIMHD5KRkUF6ejoZGRk0NzfT29vLvHnzJpT/MG0nwYIgEAwGzxkYJXNxAoEAQ0NDJCYmnnOpcCFiCtG//e1vsVgsbNq0ieTk5MteNmi1WtasWcOKFStQq9WS6zQYDPLiiy+yevVqKisrKSkpYdeuXdjtdg4ePEhHRwfr168nPz8fq9XKL3/5S0mbVKvVUllZyW233cbbb7/NiRMnxt3TaDSSnp5OUlKSFCaxZ88eMjIyeOKJJygpKZnQvkUOhZgluN1u3n//fTZs2HBZYcPBYJDOzk4++eQTFixYIM0eV3LIpFKpSEhIwGg0Sp0uFvRWX19PVlYWZrOZxMRE1Go1jY2NVFdXk5qaSnJyMiaTicWLF9PQ0EB3dzf9/f1kZmaSkJBAbm4uwWCQnp6ecapzSqUStVqNRqMhFApx5MgRBgYG2LZtG3l5eRgMhgntKefWln+WEgqFsNls6PV6CgoKLmnEEwSBsbExTp06RUNDA2VlZRQXF0/66WpMISI+Pl7aFOv1euLi4hgcHJTCJeLi4lCr1aSlpTE6OorD4SAQCEh7GZVKRWpqKoFAgHA4fFY7PR4Phw4dwm6389WvfpX09PRJCf6TDWAWMDo6SltbG0uWLLmkpU80GsXn83H06FEGBgZYs2YN2dnZlz1SxpLbY/8uRCwB/kxin1EqlWf9TRTFS7pujIGBAX7zm98QDAa59957pSXcROOF5CXQLKCrq4uhoaFLFp9yOp3s2rWLQCDArbfeesWdf2BgAIfDccFY/VjItNPplJYuMYVqs9mMwWDA7/cTDocJh8P09/ePU6uObaQBmpqapFyEzzJv3jy+/e1vs3z5crZt28ZHH31EIBC4rO90LuQZYIbjdrvp6+tj2bJlF12+CIJAZ2cnBw4coLy8nKKiIuLi4i6r89vtdlpbW6mrq0On03HXXXdd0OhUKhXJycnMnz9f8tn7fD78fj9Lly4lEAiwZ88eHA4HWq2W7u5uaTlWU1NDT0+PpE2anZ1NUVHROZd4SqWS7OxsvvOd75Cfn8+//Mu/0Nvby1133UVGRsYlf7+z2j9Z4dCxQxBRFM/y8wuCgMfjoamp6arlfs5WWltbGR0dZcmSJRd09/n9flpaWjh+/DjXXXcdhYWFGAyGi84YMR9+W1sb9fX11NbWolarKS0tpaKiYlyaZSgUor+/n3feeQebzUZRUREWi0U6xKqtrZV89/Pnz2f9+vUkJCRw9OhRvF4v0WiUAwcO8OCDD5Kbm4tKpaKmpoa4uDiqq6uxWCxs3ryZpKQkqW3Dw8Ps37+fw4cPU1ZWRlFREXl5eRw5coR33nkHu92OyWSSZBovd6ab8AwgiiLd3d0cP34cu92OTqdj1apV5OTkyAdeEyB2aPXpp59SUlKCxWI55/sikQgej4e2tjZ6e3uprKwkJyfnorNFJBLB5XJhs9lwOBx0d3ej0+lYtmwZWVlZUif8bJtOnTqFwWBAo9Fw6tQpSkpK0Ol03HrrrezevZvGxkbS09OpqqpCpVKRkZHBfffdx8GDB2lpaeHOO+9k/vz56PV6li5dikKhoLGxkWg0ype//OWzRnOn08nY2BgLFy6ku7ubZcuWYTabKSkpkZZXtbW1LF68+Io2+BMOh45Go7z00kuSYOp7773Hxo0b+fa3vy2N9JFIhP7+fnbu3MmDDz44rgibzLkRBIGuri727NnDli1bsFqtZ70nFAoxOjrK4cOHCYVCrFu3DovFct5RUBAESSc0EAiwf/9+jh49ysaNG1myZAlJSUkX7ESxbK4zi2ucufmNJcArlcqzBr9IJEI0Gj2rqkys5GqstOtn2x67X+y6sZCNUCg0Tgv1SjPiJjQDxFxta9euJS8vD6VSyYoVK/je977Hk08+KS91JkAkEuHDDz9k3bp1ZGZmnvX32Gi8e/duFi9ezLJly87rFjzzwKq2tpY//vGPWK1WVqxYwR133HHJ7sTYhvd8qFSq8876arX6vGv7C93/fH+brL41IQNQKpWYTCbi4+OlEjypqamkp6fLAW8TQBAEvF6vpNr82XW8IAjU1NTQ2trKzTffTEZGxnlHblEUaWtrk2JxioqKePzxxzGZTOh0ulld4XEymPAe4Ewfr91up6+vj/vvv39a5e2uNcbGxnj//fdZt24diYmJ0mASE5Gtq6vDbrdLyejnWlaMjY1x/Phxent78fv9LF68mBUrVmA2mzEajfL+7P8zaW7QcDiMzWbD4/GwZcuWs0aWaDRKV1cX1dXVLF68mNTUVKmCuV6vp7S0lGg0Snt7O8FgEKvVKimLDQ4OotVque666/D7/bS1tREMBqVk7Y6ODmw2GyaTiaKiIpRKJbW1tUSjUclTcfLkSQYGBjCZTCxYsIBgMEhHRwehUIi8vDxSU1Pp7u5maGiIuLg4rrvuOkZHR+no6CASiUjygC0tLTidTpKSksjPzyccDtPQ0ADA/PnzSUxMpLu7G5vNRlJSEvPmzcPj8dDZ2YkgCBQXF2Mymejs7MRutxMfH09FRQV2u10qVxQfH09vby/Z2dkcOXKEuLg4cnJyUCqVNDQ0EAqFWLlyJampqeM6ss/nkwYhl8uFx+MhKytLegbykvRsJsUAYtXDh4aGWL16NRaLhUgkMu6kLxqNYrfb6ezsxGq1kpiYyMjICO3t7ZhMJgoKCohEIvT29jI2NkZcXBypqanYbDba2tqIj4+X/Mox9QCNRoPVamV4eJiuri5SUlKwWq2o1Wqp46akpGAymbDZbLS3t5OamkpeXh5er5eenh58Ph+JiYlYLBaGh4dpb28nMTGRiooK6T2hUIj4+HgyMjIYHBzk5MmTZGZmkpmZKckFwulkboPBwODgIF1dXZKBejweurq6iEajWK1W4uLiGBoaoqurC7PZTEVFBR6Ph+7ubum7FxUVYbfbpfutWbOG0dFRLBYL69atk1QgYl4gn8/H8PAwhw8fBmD16tVSCMJsLFwxXUzYCySKIi6Xiz179jB//nwKCgoQRRGHw0FmZiYajUb2Al0GbW1tvPnmm3z961/HaDTidDr5+c9/jt1u50tf+hKlpaXA/3lcYspwHR0dVFVVUV5eTlZWltzpL5EJzQCiKOL1ennqqafo6OiQkhkEQeBf//VfJ6uNc4ZY+EFxcTFGoxFBENi/fz9JSUnce++9ZGVloVAoCAaDHDhwgIaGBrRaLStWrOCee+5Bp9NNSnzMXGLCSyCVSsUjjzxCMBiUCjLHdF3mWn7pROnp6WFoaIiVK1fidrv56KOPSEhIYOXKlej1egYHBzl8+DCDg4NkZWVx++23YzQaJY+O7Hm7fCbUQxUKBXq9npUrV44rmSN3/Msn5q6MHRjt2bOHtLQ0STUtFAqh0WjQ6/XccMMNZGZmYjKZ5Gc9QSb89M4XvSdzedjtdpqamsjLy2Pfvn2YTCYSEhI4fvw4Bw4cYOnSpaxatUpa38uj/eQgLxZnAKIoUlNTg8/no62tjaysLOrq6qRZ4Prrr+fGG2+U4qvkzj95yPPnDEAQBF577TUcDgfl5eW4XC6++tWvSjV9BUGQD66mCNkAriKjo6PU1dXx8ssvY7FY+PKXv8zixYulotVqtRqfz4fT6cRgMMju4ylANoBpRhAEuru7aW9vp66ujqGhIURR5NFHH6WoqOisGP5Y6MOiRYtkA5gCZAOYBmKJ44ODg7jdbo4cOUJPTw9ms5mqqipGRkYoLCzEaDSe9dkzvWsyk49sAFPImemBjY2N/OlPf2LRokXEx8ezcuVKiouLOXToEGvXrj1vmLHBYJAU02QmH3lYmQJEUUQQBFpaWviP//gPduzYgdFo5Omnn2ZoaIiSkhJuvvlmFAoFfr+fsrKy80bPGgwGsrKySEhImOZvMTeQZ4BJ5uTJkxw8eJC+vj5ycnJ46KGHiI+PZ2BggDfffJM777yTnJwcRkdH6erqYu3atRe83tDQEE1NTZSWlk5KIQyZ8cgGMEFiaYKNjY309PQwMDBAeXk5FRUVWCwWQqEQ3d3dNDU1cdttt5GVlYVGo6G1tZX+/n7Wr19/wesHg0GcTuc5i03LTBzZAK6QQCCAw+Ggp6cHj8eDw+EgJSWFW265hbS0NOLi4jh16hSNjY2oVCo2bdpEZmYmCoVCSmJfvHjxRauxGAwGrFbrFUuhy1wY2QAug1iBuFjiSUNDg1QmdMWKFZhMJlQqlSQAdfDgQbKzsyktLR2nstDf349Go6GgoOCi9zQajSxevFiO+Zki5Kd6CUSjUaLRqJSoXl1dzbJly1i9ejVWq1U6pY1p7NhsNnbs2CGt98/08AiCwN69eykvL78kQSe/34/L5SIzM1M2gilAfqIXIRKJUF9fz759+9BqtZSXl/Od73xH0sY5M0QhFApRV1dHfX0927ZtIzU1dVynjUajnDp1ikAgcMlqZrEgOZPJNOfqd00HsgGcg2g0itPplKS49Xo9t9xyC0lJSVJH/OzB1PDwMMePH8ftdnPHHXeQkpJyVvxOOBxm3759bN68+ZIrvKjVarRarXwQNkXIBnAGsbzmtrY2QqEQarWaiooKcnJyzqupHw6H6enpoaGhgYyMDBYvXkxKSspZEZux3N2hoSGSk5MvOUHdYrFQUVExoSooMudnzhtAJBJheHgYn89HX18f3d3d6PV6qqqqyMjIuGCmlc/no7e3l6NHj7Jo0SIKCgrOe2Lr9/upqalh8eLFl6XOEDM6ORp0apiTBhCTCAyHw/h8Pl555RWi0Sg33XQTd9111zl1Mc9EFEWp8sr777/P/fffT0pKynk3qTHhgIaGBr7xjW9clgEMDg7S0tLCypUrz6sPKnPlzEkD8Hq97N69W4qyvO+++8jMzLzktXYgEOCDDz7A4/Hw0EMPYTKZLvi5QCDA4OAg8+bNu6xypHB6iRUrMSoz+VzUAHp6enA6nSxdunQ62jNlBAIB2tvbqampIRgMUlxczOOPP058fLxUZ/ZiHVMQBPr6+jh69CgWi4U1a9ZctPPDab//gQMH2LZt22W7MtPS0hAE4aIHZjJXxgV/DVEU2bdvH59++ukll+eZScQEZPv7+2ltbZVq22ZlZZGcnHxJ+vkxfD4fnZ2dNDY2smjRIrKzs0lISLio0YTDYXp7e7FarSQnJ192OqPBYDhv0QiZiXPBpxrTl6yvr8dms5GWljbj81Fj+pkx9biY+lteXh4LFy4kMTHxsjaUsdPflpYWenp6qKysJDs7+5J98jabDafTSXl5+RUNIB6PB6fTSV5enqy3OgVc0AAGBwdpbm5maGiIxsbGK6otO12Ew2H8fj9er5eBgQH+93//l0WLFrF69WoyMjKuSBczptJcW1tLd3c3d955J4mJiZfckUVRlMSr8vPzL/v+cHr51NnZSVpammwAU8AFe/OpU6fo7u6WRsA1a9ZMV7sum5MnT/LGG2/g9XrZtGkTf/d3fyfJtl8pY2NjvP766+Tk5LBt27YLauOfi1AoRHNzM+vXr5/QwCErQUwdF/xVjhw5gs1mw+v1Ul1dzYMPPjijNIBcLhd79+6VRsjbb7+d9PR0DAbDhE5PQ6GQVDPr+uuvp7Cw8LJH32g0yr59+1iyZAlFRUVX1A44rTg9b968yzY+mUvjvAYQDoc5dOgQTqeTSCRCTU0NoVDoqkvwhcNhWltb6e3tpa2tjdLSUm677TbMZjMJCQmX7Wb8LC6Xi56eHtra2li7dq20Wb4cYkFxJ06cYOvWrRMKZfZ6vVJpIPkwbPI5pwEIgsCpU6cYHh6War+Ojo7S3t7OwoULp300CofD0v3HxsakyoC33HIL2dnZl10K9HwMDw9z4sQJ/H4/VVVVpKenX9HSJRgMSnsms9k8oWXYyMgIPT09rF69ekbNvtcK5/x1RVGkv7+flJQUFixYgN/vZ968eXR2dlJcXHxBA4ipGExGhxwbG8Pr9eJwOOjs7OTgwYNs3ryZzZs3k5iYOGkb8mg0isvlorq6GoVCwQ033DChHFyfz8fevXu59957J+y/jxWRm6CKvcx5OGcPUiqVFBUV8cILL/DrX/+a48eP8/3vfx+fz3fetXAsvCAYDKLRaK54VI794AqFQirolp+fz8aNG7n55psndRkgiqLU+X/605+yadMmli5dOiFvSzQalSqYny+A7nJIS0sjMTFRDoWeIs5pAAqFQopo1Gq1qNVqzGYzSUlJ553O29raeO2116ipqeG5555jwYIFl91Zo9Eo3d3d7Nq1C41GQ2lpKd/85jdJTExEq9VO+hrY7/dz4sQJjh8/zp//+Z9fsNjcpTI0NMTbb7/N1q1bJ6XTJiUlSbLzMpPPedcQsc4WG8Uv9gNYrVZWrVpFY2PjZU3ZsYOmo0eP0tfXRyQS4YYbbiA9PV2SCJyKzd/Jkydpbm4mFApx6623YjabJ8XP7nA48Pv95OXlTUq7u7u7cTgcVFRUzNgzmNnMpD3R+Ph4LBbLJXs8vF4vw8PDtLa24na70Wq1LFiwgIKCAsxm85Ru+Do7O9m3bx8Wi4WqqqorClE4FyMjI5w8eZK1a9dOWvsdDgcDAwMsWbJENoApYNKf6Lk6UkzaIxqNMjw8jNPppL+/Xzpk27x5M1lZWVNe0E0URYaHh9m3bx9ms1kq6DdZ9Pb2MjIyQlVV1aRd02QyEQ6H5SXQFDEtQ4rdbufVV19Fq9WyY8cO/H4/GzZsYM2aNSQmJkr5tcFgkEAgIBXgFgRBCgXWaDTEx8fj9/sJhUIolUqp0PPY2BjRaBStVistY8bGxgAkleVQKMTY2BhvvPEGq1evlsqpulwudDodOp2OYDBIMBhEqVRKM5nf7ycSiaBWq4mPjylWWFgAACAASURBVJc2+oB0P7/fTzgc5ujRo+Tn5xMfH4/L5UIURSnSNBaqEbt2LKcgEomg1WrR6/WEQiFJ/0ev16PRaMjIyCAlJYVgMIhKpUIQBHw+H6IootPp0Gq1BAIBKYMtdk7j8/mIRqPExcVJhQp9Ph+A5JmK3U+lUhEfH084HJa+W+yZXOtMiwH4fD6amprYu3cvt956K9/97ncZHR1l+/btUkz9qlWreOedd3jzzTdJTEzkP/7jP/B4PPzsZz+jra2NZcuW8fTTT/P73/+ed955B5PJxEMPPURJSQnbt2+nu7ub1atXc9999+F0Onn22WdRKBQ88cQTLFq0iDfeeIM333wTi8XChg0b6O7u5qWXXqK/v58tW7Zw9913s2vXLnbt2kViYiLPPvssWq2W559/nqamJhYtWsR3v/tdDh48yGuvvYYoitxzzz2sWbOGF198kcOHD6PX63n66acZHBzk6aefxu/388QTT1BeXs5HH33E66+/jsViYfv27QQCAV5++WU6OztZtWoVDz74IB999BFvvfUWarWahx9+mKVLl/Jv//ZvNDQ0UFZWxre+9S2Gh4d57rnnCAaD3HnnnWzcuJEdO3awZ88ecnJyeOSRR9DpdPzwhz9kYGCAu+++m5tvvpn6+np+/OMfA/Dv//7v6PV6duzYwaFDh1iwYAF/+7d/y6FDh3j99dcRBIH777+fG2+88Zo/fLtomdQXX3yR+vp6XnjhhYte7ODBgzz//PM888wzlJaWSmvW3t5efvCDH6DX66msrMTr9VJQUEBBQYHkcYqLi5MiH9VqNdnZ2YTDYVwuF4FAAIPBQHp6Og6Hg7GxMVQqFQkJCRgMBgYGBgiFQlJZIUEQGBgYAE5vdnt7ewmHw1RWVpKYmEhqaiqiKDI6OkowGCQhIYHExERGR0cZHR1FrVZLMoSxTW3s/h6Ph9HRUeD0SGo0GrHb7fz6179m4cKFVFVVodFo6O/vRxAEUlJS0Ov1+Hw+HA6HdG1BEHC73fj9fmn/5PF48Hg8KBQKzGYzBoOB9957j56eHm6//XZSUlKIRCLY7XYEQSAhIQGTySQVxdbr9VKwns1mIxQKSfuyQCCAzWYDIDs7GwC3243X60Wr1ZKRkcHY2BhutxuAhISESwr3nu1M2gwQCoVwu93YbDYGBgYoKiqSgri0Wi1WqxWlUsmaNWvw+Xw0NjZSV1dHWloaFosFpVKJxWIZtyZXq9VnRXF+9j1w2gMVQxRFfD4fbrcbu91Of38/5eXlZGdnS/eJ8dkNe3JyMsnJyeNey8zMHPf/Yx0jRqyoXTQapaysTMoJ/qzolU6nO0vf/7MhFmaz+az3xL5rrB0ajYacnJxx70lJSSElJWXca599j1arPetw77Nu2sTERBITE5lLTJoBeL1e+vv7ycvLo7u7m/LycvR6vWQA2dnZnDx5EqPRSHZ2Nunp6bS0tFBfX08gEMBoNEqyIykpKZcVcxSJRHA6nTidTlwuF2NjY/T09JCUlMSGDRvIyMiYMg9KOBymurqa9evXT0nnyczMvGQNIZnLZ9J6hV6v54477uC2225DoVCMmz51Oh35+fl0d3cDp88YzGYzK1eupKKigv7+fnbv3k1zczMLFizghhtuICUlBVEUJanxM1dqCoVCOhyKbfhqa2upqakhPT2dLVu2sHz5cgwGw5SuYaPRKF6vl87OTjZs2DAlGv6fnbVkJpdJM4C4uLjzJp3odDqsViterxdBEKTXFQoFOp2OgoICHnvsMYLBICMjIwwODvLxxx/T2NhIb28vg4OD2O126XMmk4nc3FwKCwspKyvDarWydOlSbrrppmkVkY0lyyxZsmTKPCbHjx9nbGyMDRs2TMn15zrTdrISjUbp6uqSokvPhVarJT09neTkZIqLi9m4ceO4NXaMWDFujUaDRqNBrVajUqmmfaR0uVwcPXqUxx9//Ioyzi6FYDCI1+udkmvLTKMBRCIR2traCAQCiKJ4zvW9QqFApVKhUqnQ6XQzWhLc5/Nhs9koKyubcObZhcjLy5MVIaaQixpAYWHhpGwgFQoFarWanp6eK87RnUnY7XaOHTvGjTfeOKUzT2pqqrwJnkIu2rPXr18/bvlxpWg0GhYvXkxdXR1lZWWz2gAikQgtLS0kJCSQl5c3pb5yt9tNNBolKytryu4xlzlvQkwkEpFS8WJH+YIgoNFormjE02g0lJWV0dXVhcvlIi0tbcKNv1q43W5GR0cpLS2d8oOiuro6BEGQDWCKOMsAIpEIg4OD/PCHP2TlypVkZGTgdrvZu3cvTU1N/PjHP6aoqOiKfnilUklhYSEej2dSGn+1OHr0KEajcULJ7pfKtR6KcLU5pwH09vby+OOPS0kxtbW11NXV8Y1vfGNC4lgKhYJFixYxPDzMyMjIWaeuMx1RFPF6vdTX13PzzTdPS7DY0qVL5VzgKeSstYxKpaKoqIj58+eTnJxMd3c3v/zlL7npppvYvHnzhA978vPzGRoaYnBwcELXuRpEo1Hq6+spKSkhPT19WuJkIpHIuLMTmcnlLAPQaDSkp6ejUqk4deoUO3bsQKPR8MADD0yKu89isVBUVERjY6MUnjsbiJVDjdUC+GzMzlTR0dFBXV3dtNxrLnLO3iyKIn6/n5deegmn08mTTz5JZmbmpLn7YjLhfX19k3K96SAcDnPq1ClUKtVliepOlEAgcMHDQ5mJcc5fMRKJsHPnTmpqarjrrrsoLS2d1Jump6eTlZXFgQMHJvW6U4nT6eT111/njjvumLbRH6C0tJSSkpJpu99c4ywD8Pl8HDp0iJdffpkvfelLrF69GjgtjOVwOCblTECpVJKTk4Pf76etrW3GF38YHR3l+PHjCIJwWeK4k0FqaqrsAp1Cxv2SsWn+ueeeY8uWLVJyd1tbGz/5yU8uqYjEpZKUlMTmzZs5cODAjJ/ibTYbhw8f5nOf+9y0S0O2trbS2to6bfeba4xzg8Zi2wOBAGVlZVLSemNjI4FAYFKT1uPi4qTqJz09PeTn589I8Sen00lbWxsbN26krKxs2u/f3t5OfHz8Vbn3XGCcAajVav7sz/6Mm266adybli5dil6vn/SkEqPRyNatW9mxYwf33HPPpG60J4NQKERjYyPhcJhFixZdlTYYjcYZOTBcK4zr0WeqKkwHKpUKi8VCcXEx7e3tUo7rTKGzs5OhoSFWrFhx1er0rlu37qrcd65w1YdbpVLJ6tWrcTgcHDt2bEbsB2KVYT755BMWLlwoJchfDYaHh3G5XFft/tc6V90AFAoFRqOR1atXMzIyQktLy1VVQo6FO7z99ttcf/31ZGdnX9VQhLq6Ojo7O6/a/a91rroBxEhNTaWiooKuri4aGxsnxd16uQiCgMvlYs+ePWRkZFBUVDQleb6XQywjTmZqmDFikwqFAqvVikaj4U9/+hNqtVqqjDgdG+NoNMro6Ci1tbUYjUbWrVs3IzbkxcXFMzozbrZz9X/hM1AoFKSnp3PnnXeya9cumpubCQaDUx4MFo1GcbvdvP322xgMBtavXz8jOj+crhEWE7KSmXxmzAwQQ6FQYDKZeOyxx9i3bx/t7e2sWLGC3NzcKblfMBjk/fffZ2RkhJUrV1JQUDBjOj/ARx99RHJyMhUVFVe7KdckM84A4LRnKCEhgVWrVjEwMMCePXtITU1lw4YNaLXaSTmJDQQCdHd3s3//frKzs9myZQsJCQkzThB2ZGREzgeYQmakAcSI6WPGxcVRX1/Pe++9h9lsJi8vj9TU1MvurLFiHL29vXR2dhKNRpk/fz6VlZVTLs1+peTk5Exr8N1cY0YbAPyfqlxGRgZdXV289957DAwMkJubi9FoRKlUYjabiY+PP+u0OhwOS4KvMelzm81GU1MThYWFVFVVkZiYOKMFYCsrK+W0yClkxhsAnN4XxMXFUVZWRnFxMR6Ph08//ZTXXnuN7u5utmzZQnl5OfPmzSMpKUn6nMPhoLq6mv3799Pe3s5NN93E5z73OdasWTPhesLThcfjQafTzagT8muJi8qjTwaRSIT+/n527tzJgw8+OOEpPaZaEYlECAQC+Hw+gsEgoVBonMdIqVRKko2xIhyxjj8bOj/Aa6+9RlFREatWrbraTbkmmRUzwGdRKBRSZ9br9SQkJEhCuhcS0Z0tnf6zzNZ2zwZmpQGcSUxO8VrlhhtukA/CppCZ5/aQGUesxpfM1CAbwAzn3XffpaOj42o345pFNoAZjsfjIRAIXO1mXLPMaQOIRCK43e6rGn59Mbxer1Q6daZhs9nGFS6ZjcxpAxgZGeHtt9+e0eHGsTrHM5Fjx47NKm2nczEzn+w04ff7pXKmMxW73T5jFfR8Pt+s98DN6RlgNjA0NCSnRE4h0zYDCIIg1fqaKUJYZ7ZnJgbCwf89t5nyzM4kGo0iCMJ526ZUKmfsc40xLQYwNjZGdXU1n3zyiVR1fSYQS8RXKpUzdiofGBjg448/5uTJk1e7KWfR2NiIRqPh6NGjZ/1No9FQUlLC2rVrZ3Q1oGkxAL1ez5IlS2hqauKuu+46q2L51eLUqVOIosg999wzYw+bfD4fS5YsmZEJMbt378ZsNrN8+fKz/haLw5qpzzXGtBiAWq3GZDJhNpvJzs6eMfHtgiBgNpvJycmZVj2kyyE5OZn09PQpy4ibCOnp6VLN5tnKzF6gyaDVamesG/RaYE4bgEqlQq/Xz+hoywULFpCSknK1m3FOpltJcCqY00NLRkYG27Ztm9Ej7KpVq2asJ2XNmjUz1nlwqczcX34a0Gg0WCyWqzYDxJKEampqAHjkkUdYvXo1wWCQ+vp6/vjHP5KUlMQtt9wiFcmIRCL84he/oKOjg7KyMm6//fZJF+8Kh8N0d3fz/e9/X3JxJiQksHbtWj7/+c8D8Pbbb7N7926CwSBlZWU8/vjj6HQ6urq6+PjjjxkYGGDZsmWsWrVqRodzX5MGIIoigUCAffv20dXVxbx58ygvL5eWEtFolNraWg4fPoxGo2HBggVUVlZiMpkYHBzk2LFjuFwurr/+etLT06dEKUIURVwuFz09PWRnZ6NSqUhNTSUcDjMwMMCvfvUrtm7dSltbGx988AEJCQmYzWb+8Ic/0NzczPr16zl27Bi7du1i27Ztk9o2n89HbW0ter2exMREBEHA6XTicDikdre2tmIymUhOTpakZBwOB3/4wx/w+/0sX76c3/zmN1itVvLz82esK/SaNIBwOMyBAwf45S9/ic1mQxRFbr31Vh5//HFUKhUjIyPs3buX/fv3o9PpUKvVLF26lJGRET7++GMaGhowmUycOHGChx56iNzc3ElfhoyOjnLs2DEKCwv5sz/7M5KTk9HpdNjtdn7/+99LeqmZmZm88sorHDt2jMrKSp5//nm+973vUVFRgSiK/OhHP2LLli2YzeZJbWN+fj5bt25Fo9Hgcrk4ePAgaWlpiKJIXV2dJCC2YMEC4uPjUalUdHR00NLSwv33309ZWRmHDx/m9ddf59FHH52x4l4zc3E5QcLhML29vfzrv/4rL730ElVVVfzsZz/D6XRKP2BycjL//d//zcsvv8wDDzxAYmIitbW17N27l23btvHMM88wPDwsFQyZbGw2G3/605944YUX+OUvf8nAwACRSIShoSEOHDhAXl6eNCsoFAqOHDmCy+WipqaG5ORk4uLiSExMRKPR0NTUNKmq2omJiaxYsYL4+Hi0Wi0jIyM4HA6Ki4sRRZHDhw/zyiuv8MILL9DQ0EAwGEQURWpqalCr1aSmpqLVaikrK6OhoYHh4eFJa9tkc00agMFg4Itf/CIpKSmkp6ezdu1acnJyGB0dRRAEduzYwT//8z/z4x//mFAoJOUMHzlyhNHRUTIzM1EoFMyfP5+amhr6+/snvY35+fn84Ac/4F/+5V/4+c9/zlNPPUV7ezt+v59oNIrVakWpVGI0GtFoNAwODuLxeCT91Nj3NBgM2Gy2SQ/oO3NfNDIygsViwWw2o1KpeOKJJ3jxxRcJBAI8+uij7N27l0gkwsjICAkJCRiNRlQqFVlZWQQCAYLB4KS2bTKZFgNQqVRkZGTw+c9/flrkPWJJ82cmwufk5GC1WlEoFHzzm9/kySefpLm5mc9//vP09vZKo280GpVOqrOzsxkeHsbr9U56G9VqNcnJyaxbt46dO3fi9Xrp7OyUNp2xdsdigWI5C2d2TFEUp0U3taOjY5wr1mg0Ulpayj/8wz/w8MMP85vf/GbcDKRQKCTljpnOtBiA1+ulsbGR3/3ud7zzzjtTMqKej8HBQWw2Gw899BB6vR6VSsXSpUv5whe+wFNPPUVKSgq//e1v8Xg8UkeLufYUCoUU8DXZxJL54+PjKS0tlapx6nQ6VCqVtOGMLS+sVit6vZ6RkREpf8Hv9xMOh8nIyJgyd+Tg4CBmsxmr1Tqu7TqdjpycHG6++WbpNZPJRDgcxu/3IwgCNpsNo9E4YzfAMA0GEAqF6Onp4Re/+AUajYYjR45QXV2Nw+GY6lsTCARob28nMzNzXJE5pVKJxWJhyZIlfOlLX6K7u5tgMIher0ej0UgZWE6nk4SEhCn5AWORqHB6JM/NzSUnJ4fMzEyWLl0qlY8dHh5GoVBQVVVFSkoKubm5OJ1O/H4/Xq8XQRCYP3/+lBnAwMAAFouFtLQ06bVIJIIgCIiiSFxcHFVVVahUKlauXInb7WZkZIRwOExraysLFy4kNTV1Sto2GUy5AbhcLj744AOSk5N5+OGHueWWW9i7dy9tbW1Tdk9RFAmFQnR0dCCKIkVFRSgUCux2uzSii6KIRqMhMzOTwsJCNBoNCxcuJC4ujpGREeD0RnXhwoUkJydPehsHBgb49NNP6evrY3BwkJSUFLKyskhLS+POO+9kcHCQ7u5u6urqmDdvHmVlZRgMBr7yla/w6aef0tHRQV9fHzfffDMpKSlTZgCdnZ1YLBapUF+skmhXVxcnT57EbrezevVqVCoVxcXFLFy4kE8//ZTu7m56enq4++67p+T5TRZTbgC9vb1UV1dTUFAgFcHweDwcO3Zsyu4ZiUTo7Ozk9ddfx+Px0N3dzQcffCAtdVwuF8FgEI/HQ11dHV/84hdJSkpi5cqVpKSkSKPvoUOHWLx48ZSMYG63m/fee48f/ehHjIyMsGXLFlJTU1Gr1RQWFvL000/z05/+FJPJxH333Ud6ejpGo5GvfOUr5Ofn88Ybb5Cfn8/jjz8+6W07k1jAYAyFQsHRo0f50Y9+RG1tLYsWLWLBggWoVCrMZjP33XcfiYmJ/OIXv+CZZ56hpKRkxilun8mUSyN+9NFHvPTSSzz88MOsX78el8vFX/3VXzFv3jy+853vTPr9BEFgYGCA7du3Y7PZpFh/s9nMX/zFX5Camsorr7xCOBymvLyc5cuXk5ycjEqlIhgM0tHRwZ49e3C73VRVVbFs2bIpOckMhUJS8Q+DwTCuCLkoikSjUcbGxtDpdOh0unE+fr/fTyQSkZTxppJgMIhKpZLCRWI11KLRKFqt9qy2RaNRQqEQoVBIOh+YybFWU34QJoriOK8MnO6kU+W9UCgUWCwWnnrqqXFqD3q9nqysLJRKJdu2bSMUCmEymbBYLNIPqNPpKCwsJDk5GZ/PR2Zm5pSNXhcKJFMoFKjV6nFCv2cynZvKz37/WFHD86FSqSQ91tnAlBuARqNBFEU8Ho8UoqBUKs/7406UmJJ0aWnped9zoVNJvV4vF6aeQ0z5HiAzM5P09HR6e3uB0xtLg8EwzisjI3O1mHIDyMvL49Zbb6W+vh6Xy0VdXR0LFy684AgtcxpBEAiFQpN+oBQIBGa0FtJ0MuUGoNFoWLFiBZ/73OfYvn07SUlJ3H333TPaNzwTEEURu93Oyy+/POniU//zP/9De3v7pF5ztjItBTIEQSAQCGCz2bBYLBgMhlmfSDGVhEIhTp06xQcffCDFMZ1LSSMcDuN0OhkbGyM3N/eSE3tOnTrF22+/zeLFi6UT6LnKtIRCKJVKDAYDeXl5mEwmufNfhNHRUV5++WWWL18udf5oNIrX68XtdkshG+3t7fzwhz+kp6cHn88nVc0JhUL4fD4CgQCCIBAMBqW/w2knwKpVqzhy5MiUHkjOBq7JfICZSCQSwWaz0d7eTnZ2NkqlEpvNRkJCAsXFxdL7QqEQ/f39DAwMUFhYiMFgwOl00tHRweDgINFoFJ1Ox7Jlyzhw4ADV1dXMmzcPk8mEzWbD7XazdOlShoeHaWpqYsOGDXg8Hrq6utDr9dx8880olUry8/MxGo28//77zJ8//yo+mavLNRkOPRMJBoOcOHGCp556it///vfs2rWL5557jr//+7/H7/dLZxaxAoCZmZnS+URbWxsvv/yyFAv0X//1X5w4cYLrrruOvLw8KisrSUxM5K233uKVV16hp6eHRYsW8atf/Yqf/vSnUkDas88+K90rISEBjUbDH/7whzm9IZYNYJqIj4+nsrKS1NRUjEYj27Zt4xvf+AYul4vGxkYpAG90dJSGhgZSUlKkg0OTycR1113H/PnzsVgsuFwu3G43gFQDLTc3l40bN1JZWUlZWZkUjx+LZbJYLGRnZ0s5EXD6zMPj8eBwOGa0QPBUIhvAJRJbwhw+fBiPx3PZn4+FNkSjUVauXElSUhJut5uhoaFxG9hwOIzdbh8XPmC1WiksLOQHP/gBDQ0NRCIR6YQ9xrmKAcb++8x/52Im10eYauQ9wCUSE3p98cUXcTgcZGdnM3/+fAoLC1m5ciXJyckX9MIEAgFaW1spLS3FbDYzMjJCS0sLa9euHZfPazAYKC4uHrcsOn78OL/+9a/53Oc+R2Fh4aTm/qpUKkwm04yO15lK5pQBCIJAe3s7LS0tV5TlFQqFGB4e5sMPPyQUCmEwGMjNzaWqqors7GwWLVpERUUFRUVFZ312bGyMvXv3YrVasdvttLa20tfXd5YuUVJSEuXl5ezevVtaljQ1NeFwOEhJScFms+H3+xkdHZU8QgMDA5jNZoaGhrDZbDgcDjQaDWNjYzgcDtxuN2NjYzidTim+P6Y4HQsBn6vMOQNobGzkV7/61RWV9hEEge7ubqkgdzAY5OTJk3z44YfEx8dz9OhRKf/gs7jdbk6cOEFZWRm1tbUMDAxwyy23nCUsazKZWLhwIa+++io+nw+DwUBJSQnHjx+npqYGjUZDbm4uDocDq9XKwoULaWlpQRRFOjs7CQQCNDc3E4lEUKlU9Pf3Y7PZ6O7uxmQy0dDQQElJCU6nE4/Hwy233HLFz/NaYFoOwq4VvF4vX/3qV6XROTU1lRtvvJG//Mu/lJJqzkd9fT1/8zd/w5tvvnlReXin08nOnTvJzMxk7dq1k75EiUajUvXJRx99dMbI1V8NZAO4RKLRKE6nk08++YSsrCzMZjNGoxG9Xi8d7p2vk46NjfHxxx/zwQcf8E//9E8XjTaNRqN4PB5+85vfYLFYWLNmzaTqg77xxhv4/X42btw4zt06F5EN4BKJJanEcocv9TQ7FAqxf/9+Xn31VTQaDd/4xjcoLi6+aJ5BLKnc5XKRl5c3qSHax48fJyMjQ9IVmsvIBjDFhMNhenp66OnpQaPRUFRUJAlHyVx9ZAOQmdPM3cWfjAyyAcjMcWQDkJnTyAYgM6eZFgOIqUF0dnZKUY8yMjOBaTGAaDTK8PAwv/vd76ZEaVlG5kqRl0AycxrZAGTmNLIByMxpZAOQmdPIBiAzp5ENQGZOIxuAzJxGNgCZOY1sADJzGtkAZOY0sgHIzGlkA5CZ08gGIDOnmVPCWLOVWN3j/fv3Ew6HpZrGCQkJNDQ00NraikKhIC8vjyVLloyr6i5zYeQZYBYgCAKjo6N8+OGH/PVf/zX19fV4vV5JceInP/kJzz33HK2trQSDwavd3FmFPAPMArRaLeXl5XzrW9/i6NGjPPLIIxQWFgJwyy230NzcjNPpZOvWreTk5Fzl1s4u5BlAZk4jzwCzDEEQpFphcFp2MRgMzmmN/4kgG8AsIxQKUVtbi8PhAGBkZAS73S4J3EYiEfx+Pz6fj+Tk5AtqlsrIBjDr0Ov1rF27VtoD2O12Pv30U5xOJ6Io4nA4OHjwIHa7nYyMDEldWubcyHuAa4hYPebKykrWrFnDK6+8wsjIyNVu1oxGngFmELF1/LmWLIIgSIU5YnWCY6+Hw2Gi0SgKhYKcnBwUCgVjY2NYrdZLLp49V5FngBmCKIqcOnWKw4cPSxvcGMFgkA8//JBvfvObOBwOvvWtb1FdXU1/fz8//OEPeeutt/jggw/4/ve/T1dXF6FQiJGRESorK+Xlz0W4bHVov9/P/v372bdvH6Iocuedd1JWVnZB/fpIJEJ/fz87d+7kwQcfxGw2T7jh1woxr86f/vQnRFGksrISq9U6Tj49Go1it9vp7OwEQKfTkZubi16vZ2hoiOHhYQCSk5NJS0tDpVJx4sQJ5s2bJ9cAuAiXPT82Nzfz7rvvEo1GaW5u5ujRo/zzP/8zRUVFc7rY2uUSO90dGhqiqakJpVLJihUryMjIOGvZolKpSE9PJz09/azrGI1GqSaZKIrY7XY++eQT8vLycLlcGAwG1Gq17Ak6D5dlAIIgcOTIER577DGsVisNDQ089NBD/PrXv+bJJ5+cFgMQBOGsmrexdbFCoTjL7SeK4llr66vdGQKBAE6nk9raWpxOJ0uWLLmkqjEXQxRFmpqapBnB4XBw2223yQPTBbhkAxBFkWAwyLZt24iLi0OlUjFv3jxuvfVWPB7PlMegiKJIOByWilQbjUa0Wq006o2MjKDT6UhLS8NoNAKnl17BYBC/348gCOh0OpRKJXq9/qosC2Jemvb2dj788EPy8/P54he/OGnXVyqVrFu3jnXr1k3aNa91LtkAFAqFtM6PjaCCIOD3+7n99ttJSkqamhb+f8bGxvjtb39LXV0dXq+X1atXc++99+L3+/ne977HI488ws6dO9Fqri1trgAAIABJREFUtTzzzDPA6VpY//Vf/0V8fDylpaW89957GI1GnnzySa677rppnQkikQh2u50f//jHbNiwgS996UuSocpcPS5rCfTZZUcwGCQSibBkyZJzltqMue1iI3E4HCYYDBIIBKTraTSai1YpDIVC9PX18fbbb/Pss88SCAR455132L17N2q1moKCAtLS0li6dCnvvfceIyMjNDU18eqrr3LTTTexfPly4uLiWLt2La+99hoej4dQKDThJcelIAgC/f39HD16FJ/Px3333UdBQQEGg+GSC+3JTB1X5CSOnThWV1dz7733Yjabz/oxRVHkwIEDjIyMEIlEcDqdNDU18cc//lEa+XQ6Hddffz3JyckXNAK3283evXuJi4sjMzMTjUZDfHw877zzDg888ABtbW24XC40Gg2pqamEw2F++tOfkpaWxsqVK8nLywMgLS2N+++/f1o6viiKeDweWlpaaG1tpbCwkOzsbKxW65wuSzrTuCIDGBsbo729neTkZNavX3/epURKSgoajYZIJIJarcZoNJKRkSEZwKWWG/V6vdTX15OZmYlKpSI+Ph6NRkNjYyNLlizh4MGDfPLJJyQkJPD/2jvToKrO+49/7gbchct2gQuyg4CA4IIiooImJCbBLNMsmjZJ20nTaWw705lm2rxIp/FF0386kzQzbSfLZOmMyUzNokncYoxGI0IkgoLsmwEUZN8udz3n/F+YeyrRpGJYLnI+M8ww9557znPufb7PeZ7f81u2bNmC2+3mwIED/Otf/yI0NFQ+j1qtJjMzE1EUZ2yDSJIk7HY73d3dtLW10dfXR3Z2NpmZmUrH90Gm3AvsdjtnzpxhaGiI/Px87HY7TqcTg8EwydqgUqnIysoC/rsP0NHRQV5e3pT3AQRBwOVyYTKZUKvVslnP5XJhNpv5/e9/Lx/r8XioqalhdHSUsLCwq8qRzuTi1+12Y7fbqa2t5ejRo2zatImCgoIFXYnd15mSACRJorS0lC+//BKtVktdXR0A58+f58knnyQ7O3tGGnnl9eFyR3M4HNccUTUaDUFBQajVakRRnDU3YUEQOH/+PAcPHiQiIoKnnnpK8cScB1y3AERRZHR0lK6uLgICAlCr1ZhMJiIiIlixYoU8z54JAgMDWbp0KS0tLQiCgMPhQKvVkp+ff9WxKpUKk8lEQUEBX375JVlZWURFRcnvezweRkZGMJlM07IWEASBoaEh3nvvPaxWK3fffbey+zqPmJIZ1GAwcOedd+J2u1GpVGi1WvR6PTqdbkYrn5vNZoqKivj8888ZHx9ncHCQsbExtmzZcs3jAwMDefLJJ3nttddITU1l48aNmM1mPB4PtbW1REdHExQU9IPaJAgCAwMD1NXVMTo6SkZGBunp6bIPvsL8YEoC8PPzm5OMA/7+/iQmJlJUVMQXX3wh755+15QrICCAkpIShoeHqaqqwuVykZSUhCRJaLVazGbzDS+CJUlifHyc/v5+ysrKMJlMZGdnEx0dPaODgC9y5RTTOx399pRPFEV5916tVvvclHDKznA3wnQ5w0mSRHV1NUFBQURFRV3XFKa3t5eOjg48Hg9LliwhMDDwhqwxkiTh8XgYHBykoaGB9vZ2EhISKCoqupFbmddIksTw8DDj4+OMjo7i5+eHwWBApVIRFBSE0WjE4/HIx0xMTKBSqQgODiYsLAydTuczQphXzuIqlYqcnJwpfSYiImJanlput5uOjg5effVVNm/ezIMPPrhgrTsOh4M33niDsrIyVq5ciclk4siRI5jNZn73u9+RnZ1Nb28vzz//PC6XiyVLllBfX09bWxt/+9vfWLJkic/EKfhGK3wYQRDo6Ojgs88+IygoiN/+9rdYLJYFN93x4na7ee655xAEgWeffZZFixahVqt54IEHePHFF3E4HDQ2NvLiiy+ydu1abrvtNoxGI263m4qKCh599FH+/e9/T4vz33Sg7Mx8B14nu0OHDlFeXk5+fj6FhYVERUXJVrCFhsvloqGhgf3797NmzRqSkpIIDg7GbDZjtVp55JFHCAkJobKykoqKCoqLi4mIiCAoKIiwsDDS0tKIiori7bffZmhoaK5vB1CeAFchiqK8093R0SG7a8THxy/ITn8lDoeDiooK2eXk227Wqamp9PX1UV9fT0hICNHR0ZNc0PV6PcnJydTX1zMyMoLVap2L25iEIoBvkCQJh8PByMgIVVVVtLW1sXHjRhITExV/+m/weDx0dnZiMBiuOX3x8/NDEASGh4ev+Z2p1Wr8/f1xOp1y2Ob4+Dh+fn5ERkbOyQCzsIe0b/D66dfU1LBnzx5cLhfbt28nIyND6fxX4PW8FQQBj8dz1fuSJGE0GomJiWFwcBBBEK56XxAETCYTLpeL3bt38/TTT/P3v/+d0dFRRFGcrVuRWfACEASBnp4enn/+eXp6eti2bRu33377XDfLJ9Hr9RQUFNDR0UFXVxcul2vS+yMjI6hUKtLS0hgYGKCxsXHSMd5goE2bNqHT6diyZQs7duzAZDJx4sQJ7Hb7bN8Smj//+c9/numLiKLI2NgY9fX1LFu2zCdGVY/HQ09PD/v372dwcJD8/Hyys7Mxm82KG8N3oFarMRqNqFQqjh8/jr+/P+Hh4QiCQHd3N3V1dURGRhIWFobD4eDEiRMsXboUjUbDhQsX2LdvH+Pj4zzxxBPExMRgNpsRBIG2tjbS09OJioqadfPoglsDSJLE0NAQ58+fp7a2lri4ONLT0wkNDVU6/v/A6w2wdetWYmNjOXfuHJIkERISgkqlYunSpRgMBkwmE7/61a/49NNPOXHiBFarlb6+PsLCwvj1r3+N1WqVw1lFUcRoNJKamjonewPzaif4h+BNLHXx4kWqq6sRRZHExESWL18+622ZjwiCgCiK8iDh9YUaHBzEz8+P2NjYa2af6OrqYmxsTI4F8X5ekiQmJiZoa2vDz8+P5OTkOfGevemfAF4XBrvdTlNTE4cPH2bjxo3k5OR8by4jhct4rWODg4NIkkRMTAxw2e38enbZvcd/G5vNRk1NDaIosmTJEgYHB+fEkfCmF4DH46GlpYW9e/eSnJzM9u3bMRgMC96mf71MTExw8OBBLl68yGOPPTZt5/3000955ZVXuHTpkuy9W1JSMuuJAm5aAUiSRE9PD4cPH0an07Ft2zbMZjNGo1Hp/NeBy+Wivb2dI0eOsHTpUjZt2oTRaJy282/cuJHc3FxcLhcajYbQ0NA5MY7cdAIQBIHR0VHKyspwu92kpKQQHx9PVFSUz3gg+jLeNIyVlZVIksQtt9xCZGTkD46f+DbBwcEznkrnevhOAXg8nnkV0ufNwjA4OEhpaSmSJFFYWEhERIRPOF3NB2w2GwMDA5SWlhIaGkpubi5BQUE+47k5E1zzzkRRpLm5mUWLFmE2m2e7TVPiyoxxVVVVXLp0idjYWNatW6dMda4TQRAYHx+nsbGR+vp6EhISKCwsnOtmzQrX7CEul4s//elP1NXV+XztKVEUaW1t5aWXXsLhcPDQQw+xYcMGpfNfJ96Y5p07d9Ld3c0999yzYDo/XOMJ4PWGPHv2LKdPnyY9Pd0n5mrfxu1209PTw3vvvUd6ejq/+MUvlHjcKWKz2WhtbeXAgQM88MADWK3WBTddvEoADoeDyspKRkZGOHnyJJs3b/YpAUiSRF9fH9XV1fT09LBp0ybi4uIIDAy8qeeq04k3hUt9fT0qlYof/ehHxMbGLsid8GsK4NSpUzgcDlpbW7l06ZKcf34uEUWRiYkJWltbaWhoIDQ0lDVr1pCSkjLXTZs3eL/DlpYWzpw5Q05ODrGxsVgslrlu2pxxlQDsdjtnz57F7XZz8eJF2trayM/PnzNrkDcJ7+joKOfOnaO5uZn169ezePHiBRuWOFUkScLlcjE2NkZ1dTXt7e0UFRWRmJi44NdKkwTgTflx8uRJXC4X3d3dcjKquZheeNOvnzt3jvLyctLT03nsscd8wpt0vuC1krW3t3Py5Emio6PZtm3bgg3o/zaTerXT6aSjo4OhoSFEUUStVtPW1kZPT893+nTMFKIo0tnZyZ49e7BarTz++ONotVpl1J8iY2NjHD58mK6uLn7yk59gNBqV7/AKJglgbGyMs2fPUlhYSGtrK5mZmWg0GoaGhmZNAN5U6gcPHiQ4OJji4mIiIyPlvDMK/xvvqN/Q0MCZM2eIj49n/fr1BAUFKVaybzFJAN4q5AUFBfzxj3/k4YcfJjEx8ZqLJK+Hpc1mw2Kx/OApkiiKDA0N0dHRQUNDA+Hh4axYsYLg4GBlxJoC3gGkpqaGkZER8vLyiIyM9ClLni8xqdcGBgaSl5eHw+GQS3Hm5uZe9SFvypAvvviCM2fO8Ic//OGGd4y9+fQHBgY4ffo0oiiSmZkpP30Urh+bzcbQ0BCff/45RqORjRs3EhgYqHyP38MNV4iZmJigt7eXDz/8kO3bt09ZAN4A6YmJCerq6jh16hQ5OTkUFBQo9vwp4jVv1tbW0tTURHJyMmvXrp3rZs0LbsgGplarSUhI4I477rjhC3vdbV988UWGh4d55JFHWLdundL5p4g3Dcmbb77JpUuX2LJlC3l5eXPdrHnDDfc2b6WWqSKKIl1dXZw8eRKPx8PPfvYzwsLCrrtcksJ/GR0dpbGxkS+//JJbbrmFuLg4uYStwvUxY8OtN/jcW0myp6eHCxcu8MEHH+ByuVi0aBHJyckYjUZGR0dxu90YDAY587AgCAQFBeHn5ydvhKlUKiwWC5IkYbPZcDqd6HQ6QkJCcDgcTExMIIqiHJg9PDyMw+HAz88Pk8mEVqulv78fQRAwGAxyzkpvOo/AwEB0Oh0TExPYbDYCAgIwmUyyf5Tb7cZkMmEwGORjVCqVXIdsfHxcvl5oaChOp5Px8XEEQUCv12MymRgbG8PhcKDT6eQq7gMDA3JwuF6vlx3U4LLfvFarlQ0O3lprHR0dcsnY3NxckpKScLvdDAwMyEVCAgICGBwcxOVyERAQgNlslo0N3usZDAbsdjvj4+NotVqMRiMajUaupKnX6+Vsz97cPcHBwZO+J41GM2/9sGZUAIcPH5YTJPX19VFaWkpDQ4NcqG5oaIgLFy7Q3d2NxWKhpKQEp9PJgQMHcDgcrF69mqVLl9La2kpZWRlarZaHH34YjUbDkSNH6O/vJyoqipKSEsbHx9m3bx+iKFJYWEhKSgqnT5+mtbWV4OBgtmzZgkqlYv/+/TgcDtLS0li3bh2dnZ0cPXoUtVpNcXExUVFRHD16lJ6eHkJCQigpKcFut/PRRx/hdrvJzMxkzZo1NDc3U1FRgUajkavCHDt2jJ6eHoxGIw8//DBjY2Ps378fl8tFbm4uOTk51NfXU1NTQ0BAAPfddx8ajYbDhw8zPj4u10AYHR3lo48+AqCkpITw8HAqKipoampCp9Oxdu1ajhw5wqVLl+TCHzqdjqamJk6dOoVGo2Hz5s1ERETwySefMDo6SmRkJHfddRdjY2N89NFHCILAsmXLWLlyJbW1tZw9exatVstdd92FyWTi8OHDDA0NERYWxt13383g4CAHDhxAEAQ2bNhASkoK1dXVnDt3Dn9/f3784x/PSwEgXQO73S4VFxdL5eXl13pb5uuvv5YyMzOlCxcufO9xbrdbamhokIqKiqTdu3dLo6Oj33u8wmREUZScTqc0MDAgHTlyRHr99delpqYmSRTFuW7avGfWVpzSN5Yj7yNW4frxJo/au3cvOTk5bN26VXFlmCZuWABdXV28//779Pb2UlpayqZNmwgLC/vez0iStOCdr6aKN8Szp6eHRx99lMDAwAXnsz+T3LAADAYDubm5/OMf/yAhIeF/5thRqVQYjUbGxsauSpqqMBnpCleG1tZWQkJCWLVqFeHh4Yo7yDRzwwIIDQ1l/fr11328Wq3GbDYzNjZ2zczCCpfxWqXq6uro7Oxk9erVcpEJheln1tYAarWa8PBw+vr6rsoqrPBfl5DBwUG++OILJEnizjvvlIt+K8wM3ymA6S5pqdVqiYuLo6OjY07SYPsy0jcBK5WVlTQ2NpKRkXHNIuAK0881BaBWq0lKSprWTGDeNcDg4CBOp3Pazjvf8boyvPvuuyQlJXH//fcrAT+zyDUFoNVqefrpp/+nVWeqeKdBDodjWs87H5EkidHRUerr62lsbCQvL4/k5GRMJpMy5ZlFZAFIksT58+dpaGiQbcxNTU04nU6Cg4NZtWrVtGQNiI+Px2az4Xa7F2QWArjsCHjhwgWam5txuVysWbOGhIQExbw5B8gCsNvtVFZWUl9fT0pKCiqVitbWVsrLy9mwYcM14wJuhNjYWAYGBhgeHiY8PHxazjlf8PoUDQwMcOTIETIyMsjMzPT57Hs3M7IAxsbGiIuL48477yQgIIDh4WH+8pe/kJSUxH333TdtUVkpKSl88skndHV1LRgBSN/EPoyPj1NeXk5XVxeFhYUsXrx4rpu24JEnm6GhoWRmZhIQEIDb7ebVV1+lq6uLhx56iISEhGm7oMFgwGq10t7e7vNpF6cLt9tNa2srr732GmFhYWzdupWkpKS5bpYCVwhAq9Wi1+ux2WwcOnSIo0eP8vOf/1wucjadLFmyBI/HQ1dX17Se1xfxVpuvqKhg27ZtZGVlYTAYFH8oH0GeAqlUKux2O83Nzbz88svce++9LF++fEYqdkRERGCxWGhubiY2Nnbazz/XeO36DQ0NdHR0YDKZWLZsGYsWLVJcGXwM+QkgCAJff/01L7zwAvHx8dx///2EhIQgiuK0T1WMRiMJCQmcPn1aDlC5WXC73QwODlJVVUVZWRmpqamsXLmSmJgYpfP7IFr4b5aHDz74AIfDwXPPPUdwcDB2ux2n0zkjRRIiIiK49dZbOXbsGJs3b573eX8kScLpdMrZMlwul1yWaT7f182OFi6P/u+88w5nzpzh6aefJiYmBo/HQ2lpKQDFxcXTfmGTyURCQgJlZWVyUYv5vC/g8XioqKigrq6OtWvXkpWVpXT8eYAW4KuvvuLIkSOIosj777/P3r17OXPmDBqNhu3bt8/YzmRgYCD3338/b7/9Ng899BDR0dEzcp2ZxOPxMDAwwJ49e+Spo7eauoLvowVISEhgx44dcvC2JEncdtttBAQEzOgiVavVEhYWxqpVq6itrcXPz2/epOqWJEl2W+7q6mL58uUsXrxY8d6cZ2gBrFYrVqt1ThqgVqvJzs7m2LFjtLS0oNPpfN733el00tvbS2NjIzabjeXLlxMbG6sU3p6HzPlQpVKpMJvN5Ofn43A4qK2txWaz+eQmmSiKjI2NceHCBT777DP8/Py47bbbWLx4sdL55ylzLgAvFouFnJwcJiYmqKiowO12+5QIvOkHjx07xmeffUZBQQEbNmxQXJfnOT4jAACz2Uxubi4TExMcP36c8fHxuW4ScHnK09bWxksvvYTVauXBBx+cVvcQhbnDpwSg0WgwmUwUFBSg1+t59913aW5untMAmkuXLnHs2DGqqqrYunUrGRkZcgY5hfmPz2Wi1Wq1BAYGkp2dTWBgIFVVVQwMDJCcnDxr3qNeV4bW1lba2toICAhgzZo1N6XbxkLH5wQAly1DV4qgpqaGixcvkpubS1BQEAaDYUZGYFEUcblc2Gw22tvbKSsro7i4mNjY2GkND1XwHXxSAFeSmJiI1Wqlvr6ed955h+TkZPLz8wkNDUWr1aLVan+Q3V2SJDweD4IgYLfb5fq5drudRx55hKCgIGVT6ybG5wUAl0s35eTkkJmZSUtLC2+99ZacmCs1NZWIiIgbEoEoithsNtra2qiurqasrAyDwcBPf/pTUlNT0el0Sue/yZkXAlCpVGg0GjQaDcnJyTzxxBNMTEzQ19fHrl276OnpYfHixSQlJWGxWDAajQQEBEzqvN7pjdPplItFNzU1yTG5+fn5FBYWotFoCA0NVeqSLRDmhQCuJCAggICAACRJIjw8nNDQUIaHh5mYmJDLvLpcLtxu96TPqVQqecqkUqkIDw8nPj4eg8FAVFQUZrNZqU6zAJm3v7g3z1BycvKk151OJ8PDw4yOjk56XaPRyMUevIUpFBRuul7g7+9PZGQkkZGRc90UhXmAT22EKSjMNooAFBY0igAUFjSKABQWNIoAFBY0igAUFjSKABQWNIoAFBY0igAUFjSKABQWNIoAFBY0igAUFjSKABQWNIoAFBY0igAUph232834+LjPJTe7FjddPIDC3DM0NER5eTkxMTFERkai1+vx9/dHp9P5XJy1IgCFacdut7Nv3z527txJXFwcxcXFrFmzhszMTNLS0vD39/cZEaikWXhGeTweWlpaePzxx4mPj1cCzm9ynE4nFy9epLS0FLVajV6vl/9MJhOrVq3il7/8JUuXLp3z3Kqz9gTQ6XSkpqZSWFioJJm6ybHZbFRVVXHy5Ek8Hg9ut5vAwECCg4NZsmQJq1evxmw2+0R6yVkVwNKlS7n77rsJCQmZrcsqzAHd3d00NDSwbNky4uLiiI6OJisri6ysLCwWC9HR0RgMBp8oJKKsARSmHZVKRVFREXfccQfp6elyFj9fxDdbpTCvmcuKQ1Nl7p9BCgpziPIE+B9IkiRv5kzXnFUQBFQqlfynMHcoT4DvwW6309DQQHV19XfuaHqzS0/FmuzxeCgvL6epqemqFI4Ks4sigO9AFEVaWlo4ePDg9xbAc7vdtLa24nK5pnR+rVbLrl27+Prrr39oUxV+AAtOAKIoIggCoigiSRKCIFw1eouiyPj4OG+99RYbN24kLS0NtVqNx+PB4XBgt9txuVxykex//vOf9Pb24nK5cLlcOBwOud6A0+nE7Xbjcrmw2+14PB78/PxYsWIFt9xyC2+++ea88Jm5WVlQawBJkrh06RI2m43g4GD0ej19fX1ERUXh5+cnz8cnJibYu3cvVquVyMhIVCoVExMT1NTUUFlZyfDwMLm5uSQmJvKf//yH999/n6ioKNasWcPo6Ch9fX0UFRXx8ccfExkZyZIlS+jp6aGqqori4mKysrLQ6/VYrVYcDgcVFRWsWLFCKbU6B8zKE0CtVmM2m8nMzJzTH1mSJHp7e/nb3/7Grl27+Pjjj3n99dfZsWMHfX198nEOh4Pjx4+TlZWFyWQCLhfL+7//+z8KCwtZvXo1H3/8Md3d3dx7772YTCZuvfVWrFYrVVVVvPPOO+h0OoqKitizZw+ff/45GRkZpKSk8MYbbzA0NARcroqZkZHBoUOHcDgc03KPDQ0N7Nq1i/Lycjo7O6ftvDcrs/YE0Ov1rFq1as63vwMCAhgaGsLj8ZCXl4fJZOKFF17g8ccfl49xuVw0NjYSGhoqt9dgMJCXl0dgYCBNTU309vbS398vV5KxWCxERUURFxdHYGAgVqsVvV6P0+lEq9USHh5OWloaO3fulKte6nQ6goODOXz4sLwYdrvd2O32G14cj4yM8OGHH9LU1ERiYiIJCQksXryYtLQ0YmJiCA8Px2g0+sQurC8w4wKw2+309/fT2dmJTqcjNjaWkJAQ/P39Z/rSVyFJEt3d3YSFhVFQUEBYWBiCIBAUFDSpQ4iiyMjIyCQzpV6vZ926dZw+fZqysjLcbjeCIEw6f0BAAEajEX9/f/z8/OSqNt7CHDqdDlEU5eO957fZbPLrQ0NDHD9+nLGxsRu6x+HhYQRB4MyZM1RWVqLRaORiIKmpqdx+++1s2rQJi8WCRqO5oWvcTMz4MNDV1cXLL79MVVUVJ06c4JVXXqG/v3+mL3tNRFHk9OnTrF+/noSEBIaHhzlx4gSFhYXyVAcuF9OwWCzyHoAkSfT39/Piiy8SFBTEPffcQ0REBMCkY678ux68x10pQLvd/oP2BtRqNZIkoVar8ff3R6/XIwgCvb29tLe3U1NTQ39/v2J+/YYZfQJIksS+ffvo7u7mmWeeQZIkSkpKWLFiBdHR0bO+CSRJEtXV1axduxZ/f39KS0tpaWnhqaeemuSgp9PpSEtLo7Ozk/T0dFQqFe3t7XR0dLBs2TLZ7OmtO+ZwOBBFkYmJCex2O3a7/ZrXFwQBl8sld3y3283g4CAZGRnyVCsuLo7Y2NgbtgqdOnWK3bt3ExQURH5+Punp6eTl5ZGbmyt/52q1WtmA+4YZFcDw8DAXLlwgMjJSnvJYrVY6OzsZGxvDbDbP5OUnIYoiY2Nj1NbWsnPnTpKSkhgYGOCvf/0roaGhk6ZARqOR++67j927d7Ny5UoSEhJITEwkOjqat99+G5PJhMFg4Pz582RnZ7Nq1SqOHj1KeHg4p0+fxuFwcPLkSVpbW5mYmKChoYGvvvqKAwcOMDIywokTJ7BYLAwNDVFZWclvfvMb2UX8h+4Op6Sk8MILLxAUFIRer8fPz0+OyPJVh7S5ZEa/EYfDgdvtJioqSv5Ro6KiGB8fn/LG0Q/F6XRSW1tLZmYm99xzD1arlZCQEKKioq7qGP7+/uTm5lJRUUFHRwcWi4XIyEh27NiBn58fZrOZNWvW4Ofnh8Vi4ZlnnkGn0+Hv7098fDxOp5O4uDgsFguLFy/GYDBgsVh44IEHKC4uJjo6GofDwfnz51m2bBnJycnT1jlDQ0MJDg6ec2PDfGFGBSCKIiqVatKP4d2Ams2NH0EQGBwc5NChQyxbtozs7Ozv9Vb0mm1LSko4e/YsFouF9PR0srOz5WOio6Pl/zMzM+X/4+Pjv/O8ixYtAi5bmc6dO8fw8DC33nrrtEbIeRfeCtfHjC6CdTodkiRNmhP39PTIVpLZwu12U1dXR1VVFQ6H47rFl5mZybp1666y3kxHe4xGI/n5+SQlJU3beRWmzow+AUJCQggJCaG5uVnuQP39/cTExBAYGDiTl76KhIQEnn32WYAphWTGxcVNe1uMRiNpaWnTfl6FqTOjAtBqtWzcuJEPPvhAtm0nJyeTkZExqxsx/v7+JCYmyiJUFoMKXmY8K8TIyAitra3U1NRgNBrJysq09eo6AAAAK0lEQVQiNjZWCYxX8AlmJS2Kw+FgZGQEjUZDcHCwMgIr+AyzIgAFBV/l/wH3u98q5GX+jAAAAABJRU5ErkJggg==)
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)
Boyle’s temperature is the temperature at which a gas shows ideal behaviour over a pressure range in the low pressure region. Boyle’s temperature
. If a plot is obtained at temperature below Boyle’s temperature then the curve will show negative deviation in low pressure region and positive deviation in the high pressure region. Near critical temperature, the curve is more likely as
and the temperature above critical temperature curve is more like
at ![0 ℃](data:image/png;base64,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)
For 500 K plot value of
changes from 2 to 2.2 if pressure is varied from 1000 atm to 1200 atm (high pressure) then the value of
will be
chemistry-General
physics-
In double slit experiment, the distance between two slits is 0.6 mm and these are illuminated with light of wavelength 4800 A0 The angular width of dark fringe on the screen at a distance 120 cm from slits will be
In double slit experiment, the distance between two slits is 0.6 mm and these are illuminated with light of wavelength 4800 A0 The angular width of dark fringe on the screen at a distance 120 cm from slits will be
physics-General
chemistry-
I, II, and III are three isotherms, respectively, at
and
. Temperature will be in order
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQQAAAD1CAYAAAC2sYsCAAAgAElEQVR4nO3de1xUdeL/8deZGWaGgZH7RW5yU0EEvIsQikqiabbetpS02lLXtAvVll9L23S3i6WrbalrarumW0bmXdO8plgqIl5W8UZopKDI/Q7D/P7wd2Z1yy6mzBnm83w85tHjEdR8OHPOez73j2Q2m800A5PJxIEDB7jvvvt4+eWXSUtLQ6PRNMdbC4LwC6msXQBBEJRDBIIgCBYiEARBsBCBIAiChQgEQRAsRCAIgmAhAkEQBAsRCIIgWIhAEATBQgSCIAgWIhAEQbAQgSAIgoUIBEEQLEQgCIJgIQJBEAQLEQiCIFiIQBAEwUJsWWQnbtwYS5IkK5ZEUDJRQ7ADTU1N5Ofns2DBArZu3UpDQ4O1iyQolAgEO9DU1ERRURFbtmzhwIED1NbWWrtIgkKJQLADkiSh1WpxdHSkpKSEmpoaaxdJUCgRCHZCr9fj7OxMWVkZ1dXV1i6OoFAiEOyAJEk4OjpiNBopLi6moqLC2kUSFEoEgh2QA8HFxYXS0lKqqqqsXSRBoUQg2AmDwYCbmxvl5eWiD0G4JREIdkDuVHR2dqa2tlYEgnBLIhDshCRJODs7YzabxbCjcEsiEOyIwWCgqamJqqoqmulIT8HGiECwIwaDAUdHR8rLy6mvrxehIPyACAQ7YjQacXNzo6CggMrKShEIwg+IQLACs9lMY2MjNTU1NDU1Ndv7enl54efnx3fffUdZWZkIBOEHRCA0M7PZTENDA6dOnWL79u1UVlY223t7eXkREBDA999/LwJB+FEiEKygtraWDRs2sHDhQi5evNhs76vX62ndujXXrl2juLi4WWsngm0QgWAFKpUKvV5PSUkJRUVFzfa+kiQREBCAJElcvnyZxsbGZntvwTaIQLACjUaDl5cX1dXVzbquQKVSERAQgKurK2fOnBETlIQfEIHQzCRJwsHBAU9PT2pqaigvL2+291apVPj5+eHi4sL58+epq6trtvcWbIMIBCtQqVSWWYPN2akoSRKtW7fG09OTc+fOiRqC8AMiEKxAXlug0WgoKSlp9vf18fGhsLCQuro6MdIg3EQEgpU4ODig0+msMkEoLCwMjUZDbm4ujY2NIhQECxEIVqLX63F3d6eqqora2tpmfSjDwsJwc3Pj4MGDYgqzcBMRCFai1Wpxc3Ojurq6WfsRANq2bUvr1q355ptvqKmpEYEgWNhVIJjNZsXc/FqtFldXVyorK6moqGjWcrm6uhIdHc23335Lfn6+Yq6JYH12Ewgmk4ny8nLFbDAq1xAqKyspLy9v1odSrVbTo0cPJEli//79YsaiYGE3gXD58mUWL17Mtm3bFDFDT6fT4enpaWkyNHcgdOnSBScnJ7Zv3y5qCIKF3QRCSUkJO3fu5MCBA4poN+v1enx9fSktLeXq1avN+i2tUqnw8fEhNDSUAwcOUF1dbfXrISiD3QSCVqvFycmJyspKRewYpFar8fDwwGQyceXKlWYvj1qtplevXtTV1bF//35MJpPVr4lgfXYTCDqdDhcXF8rKypq9E+/HqFQqvLy88PT05NKlS1bp2+jduzdarZa9e/cqohklWJ9dBYLcq6+EcwkkScLV1RVPT0++++47SktLm/39o6Ki8Pf3JyMjQ0xQEgA7CgSDwYCnpydVVVWKaDNLkoSHhwetW7e2WiBoNBpSUlK4cOECx48fb9b3F5TJbgJBq9Xi4uJCdXW1YgLB1dUVX19fLl++3OyBANeXYY8YMQKTycQXX3xh9WsiWJ/dBIK8wrCxsVERG4zKy6C9vb2pra1t9h2MJElCpVLRoUMHOnToQEZGBiUlJWJOgp2zm0CQJAmDwUBDQ0OzTwT6Kd7e3jg7O3PlypVmX30oSRKSJDFy5EguXbrEN998g8lkarb3F5THrgLBaDSi1WopKytTTK+6t7c3Pj4+5OXlWWX0Q6VS0adPHxwdHfnyyy+pr69v1vcXlMXuAsFoNFJaWqqY3YI8PT3x8vLiu+++s1og+Pr6kpCQwNGjRzlz5kyzvr+gLHYVCAaDAScnJ0UFgoeHB/7+/ly8eNEqTRn5ugwcOJDLly+TmZmpmOaU0PzsJhAAnJycFBcIDg4OBAYGUlZWZpWt0eVdlMLCwnB3dyczM1MRMzkF67CbQJAkyRIIRUVFitlPUK1W065dO5ycnCz7E1iDh4cHycnJnDt3jiNHjojORTtlV4HQqlUrXF1dKSkpUcyR6CqVinbt2uHl5cXXX39ttUAwGo3Ex8dTVlbGwYMHFVODEpqXXQWCk5MT3t7eFBQUKOYoM0mSCAoKIiQkhJMnT1ptSFSj0dCuXTuioqLYuXMnZ8+ebfYyCNZnN4EA1x8+X19fJEni6tWripi/L88F6NSpEwAnTpywyspDlUpFYGAgffr04cyZMxw5ckTsymyH7CoQAFq3bo2bmxt5eXmK2BdBFhMTg7u7O7t377ZKUMkzJ2NjYwkLCyMjI4NLly6JmYt2xu4CwdfXFy8vL3JzcxXVmx4aGkpwcDDffPNNs+/CLJMkifDwcJKTkzl27BiZmZmiL8HO2F0g+Pn54evry/nz5xWxpgH+27/RpUsXCgoKyMnJsVq5nJyc6NOnDy4uLmzcuLFZD5IRrM/uAkGv1+Pn50dBQYEiVj3K1Go1CQkJaDQatmzZYrVyqVQqoqKi6Nq1K19//TUXLlxQRF+L0DzsLhBUKhVhYWGYzWby8vIUM96uVqvp3LkzBoOBHTt2WK3trlKpMBgM3Hfffbi4uLBq1SpFBadwd9llILRp0wYnJydOnTqlmECQJAlHR0cSEhI4fvw433//vVU79Lp3706XLl1Yu3at1csiNB+7DoScnBzFrHqE66GQkJCAWq22+sanGo2G4cOHYzQaWb58OQ0NDaKWYAfsLhAkScLPzw83NzdycnIUU0OA62Xr378/rVu3Ztu2bVadXq1Wq+nduzcJCQl8+umnVpsfITQvuwwEjUZDSEgI+fn5imofy/ss3n///Rw6dIizZ89atXNRp9MxYcIE9Ho97733nqI2lhHuDrsLBFloaCgqlYrz58/T1NSkiBtdnhw0fPhwKisrrb7PoSRJREdHM3bsWLZv3862bdsUcZ2Eu8cuA0GSpJtWGCplWE3e5zAqKor27duzf/9+rl27ZrUOPbk29cgjjxAYGMjy5cspKChQVDNLuLPsMhAA2rdvj4eHB9u3b1dcx6KDgwMPPPAA3333HYcOHbLqA6hSqfD09OSpp57izJkzfPrpp4q6XsKdZbeB4O7uTmxsLKdOnaKgoEARNQSZSqWiX79+ODg4sGvXLqtPH1apVCQnJ9O9e3c2bdrE6dOnrVoe4e6xy0CQv4WTkpIwmUyKOwFZPoy1V69eHD9+nLy8PKuXx9PTkwkTJnDu3Dk+/vhjxTSzhDvLLgMBrg+r9ezZE5VKxd69exV1c8ubuQwcOJBvv/3W6vscyn0bkZGRDB48mAMHDrB//37RdGiB7DYQ5N2GY2Nj2bdvnyIOgJXJ+xyGhITg4+NDVlaW1RdiSZKEu7s7o0aNorKykpUrV3Lp0iXFXDPhzrDbQID/TgSqq6vj8OHDius99/T05J577iEnJ4ejR49avXwajYaYmBiGDx/O7t272bp1K1VVVWJacwti94GQlJSEWq1m165dimsXu7q6EhcXx7Vr1zhw4IBVjoy/kUqlws3NjUGDBtGhQwfS09M5cuQIDQ0NVi2XcOfYfSCEh4cTHBxMZmYmlZWV1i7STTQaDREREbRv357du3dz4cIFaxcJSZJo3749Y8eOpaysjOXLl1NUVGTtYgl3iN0Hgl6vp3fv3uTn55OTk2PtIt1EpVIRFBREnz59yMvL48iRI4rY9k2r1ZKUlMTAgQPJyMhg27ZtVFdXi6ZDC2D3gaDRaOjfvz9lZWUcOnTI6g/bjeQl0XFxcQQHB7NlyxZFLEWWmw5jxoyhffv2LF68mDNnzli9XMJvZ/eBIB+J7uzsTGZmpiKX+YaFhdGrVy9OnDhBTk6OItrskiQREhLCH//4RyoqKnjrrbdobGwUoWDj7DoQ4L9nG3bp0oVLly5x8eJFxQWCo6MjKSkp+Pj4kJ6eTllZmbWLBIBOpyMpKYmhQ4eyc+dOli9frriOWeHXsftAgOtt4uTkZEpKSjh69KjiJtyoVCpiY2OJi4tj586d5ObmKubBc3Bw4MUXXyQiIoLXX3+dzMxMUUuwYSIQuH5Tx8XFodVq2bdvn9XXDvwvSZIsG5Z4eHiQnp5OfX29IgJBkiSMRiPz5s1Do9Hw8ssvk5+fL0LBRolA4Po3sLe3N3369OHYsWOcOnXK2kX6AUmSiI+PJz4+nk2bNnHu3DlFPHQ3LtmeNWsWhYWF/OUvf+HSpUvWLppwG0QgcP2mdnV1JSEhgYKCArKzsxW5XZheryc1NRWARYsWKWpjF41Gw/33309qair79+9nxYoVlJSUKCK0hF9OBAL/vaHDwsIIDAzk6NGjXL16VREP243UajVdu3YlNjaWTZs2ceHCBcU8cHLn7Lhx44iPj2ft2rVs2bKFqqoqaxdN+BU0P/VDs9nMsWPHqKiosMyjl6uIarUas9mMWq3G29sbb29vdDodarUaSZKapfB3krz5anx8PLt37+bUqVN4eHigUiknM+Vl23/4wx/Yv38/ixcv5s9//jMGg8Hq11w+tNbb25vx48fz5ptvsnTpUvz9/YmPj0ej0Vi9jMLP+9lAOH36NJs3b+b48eM0NTXh7u5OQkICrVu3pra2ltzcXPLy8vDz82Py5MlERUWhUqls8sM3Go107dqVbdu2kZ2dTdeuXXFwcLB2sW4i9yWMGjWKDRs2MGDAAPr376+Y663VaomJieGRRx7h9ddfZ9myZfj6+hIeHo5arbZ28YSf8ZNff5Ik0adPH5566ikaGxvJy8sjNjaWMWPGcP/99zNs2DAmTJhAfHw8X3zxBePHj+fo0aOKq2r/Umq1mg4dOtC2bVsOHjxIYWGhtYv0A3LVfMqUKTg4OPDPf/6TsrIyRTUd9Ho9ffr0Ydy4cZw4ccKy3kEpfR7Crf1sIPj4+BAVFUVeXh7Ozs4kJycTHh5OQEAAwcHBREVFMWHCBEJCQjh+/Dh/+ctfrL5M93ap1WratGlDTEwMWVlZ5OfnW7tIPyD3dwQEBPDYY49x5MgRtm3bprhr7uLiQmpqKvfccw9LlixhzZo1ihvOFX7oZxvIJpOJb7/9loaGBgwGAx06dLipXS3Pt2/Xrh1NTU2KHLL7NdRqNbGxsbi7u3P48GFFffveSKPR8OCDD+Ln58fKlSsVsRLyRpIk4eLiwjPPPENiYiIzZ87ks88+U8z8CeHH/WQgmM1mTCYTu3btQqVSERERgb+//02BIP/OlStXgOvTbG1ddHQ0HTp0YPfu3Vy5ckWRgSDvczhx4kROnTrF5s2bFbcOQ5Ik2rRpwxtvvEFUVBRpaWmWTWOVVE7hv342EOrr69m4cSMajYZ+/fr9aOfVf/7zH7KysnBwcGDcuHGK6eC6Xa6urnTv3p28vDzOnDmjuKnM8N9t1rp3706PHj348ssvOX78uOKaDiqVitDQUN566y06d+7MxIkT2bZtG7W1tSIUFOgnRxkACgsLOXnyJCqVik6dOtHU1GR5QOrr6zl79izz58+nqqqKgQMH8tBDD/3kUJ3ZbKa8vJzLly8rtte5sbGRkJAQjEYj6enphIaG4uLiYu1i/SiTyUTv3r1ZsGABa9asoba2Fi8vL0UMRcrMZjOenp5MmjSJV155hVdeeYWGhgbi4+NxdXVFp9MpanjXnv3ssGNWVhbV1dU0NDRYDvx0cnKioqKC48ePs3XrVgAee+wxnn/+eTw9PW95I9bX19PY2Mi2bdu4dOmSYm7Y/2U2m2lsbOTy5cucPXuWhoYGxTaFzGYzJSUllJWVsWLFCr788kv8/f1xdXVV1PU1m800NTVhNBo5cuQI//d//8fgwYMZNGgQ99xzDwaDwdpFFPgFgfDVV19RW1tLv379UKvV5OXlUV9fT01NDVeuXCE+Pp7ExES6du2Ks7Pzzya9JEmUl5dz6dIlxX8rhIWFceTIEdLT0wkJCbGcB6lEQUFBnD17lqysLK5cuUJYWBhardbaxfoBDw8PevfuzenTp/nnP/9JaWkpoaGhhIeHW7toAj8RCGazmaqqKo4ePUpDQwNjx47l3nvvpaamhpqaGlQqFXq9nlatWqHVan/RZCStVotarWbIkCGMGzcOjeZnWyxWYzabqampYebMmezcuZPY2FheeeUVxU1UklVWVvKvf/2LTz75hJiYGEttTYnq6ur4+uuvmT17Nnv27CElJYXg4GBF3w/24pafQFNTEzk5ORQVFSFJEj169MBoNNKqVSvL79xOlVSe3hoREaH4G6C+vp6hQ4eyb98+CgsLadeuHVqtVlFVcVlDQwNDhw7l4MGDnDhxAjc3N9q2bavIWaONjY3o9Xq2b9/Oxo0bef/993F3dycxMRG9Xq+48tqTW9Z/TSYTR48epbKyko4dO+Ll5WW5ueTXb3Hj/0epL41GQ2RkJGq1mlOnTlmOVLN2uW5V1pCQENzd3bl48SKLFi2yTASydtn+9yXXLo1GI56enuTm5vL000+TkZGhyFWm9uSWgdDY2Mj27dspKyvjgQceUGzb+W6TF2tVVVWxaNEiRU+sUavVaDQavLy8WLFiBTt27FDcMOSNJEkiOjqayZMnYzQamTJlCl9++aWir3FLd8unPDc3l6tXryJJEt27d7fbQJC/1by8vNiyZQsnTpxQ9M2qVqtJSUnB19eX559/nsLCQkVOrILrcxQ0Gg0DBgxg5syZGI1GHn30UXbt2qWI7ebt0Y8+5SaTiYyMDHJzczEajURERNh1u04+GLaqqoqNGzcqZj/DW3FzcyMtLY3GxkZmzpxJcXGxosurVqtJTk7mnXfeoX379kyYMIFPPvmE0tJSxYZZS3VTINTV1XHx4kW++uor1qxZQ0FBAX5+fuTl5XHlyhVF31R3i9zmDQoKIjY2lt27d3P+/HnF3qhyeQcPHsxDDz3Eli1bLAuLlPr5yTWFhIQEXn/9dSIjI/nLX/7CJ598Ypk6rtSytzSWQJBnEH7zzTds3LgRrVZL//798fHx4auvvuLYsWN2/cFotVoefvhhCgsLWbt2LTU1NdYu0i1J0vVpzZMnTyYiIoKlS5eSlZWlyCnYMkm6vpFsXFwcb7/9NnFxcbz77rssXLiQc+fOKbovpCW5adzPYDAQHR1NaGjoTb+kUqlwdXVt1oIpjUajoXPnzrRr1469e/dy3333ERsba+1i3ZJKpcLHx4fnnnuOqVOnsmzZMgICAggMDFRs808OhaioKKZNm8ayZctYv349BQUF/OEPfyA2NtYy50W4OyyBIEnXN95o3779j/6ifBMp9Wa629RqNf7+/owYMYKZM2eyf/9+oqOjFX1zqtVqEhMTGT16NIsWLSIqKopJkyah0+kU+znKTZ7IyEj+9Kc/ERISwvLly7l48SJPPvkkffv2xdnZ2drFbLFuupvlD+PHXnJvu72SJAmdTke3bt3o0KEDO3bs4D//+Y+iq7IqlQqDwcDw4cOJi4vj008/ZevWrYrfqESuKfj6+jJmzBj+9Kc/YTKZeO2111i1ahWlpaWKvu62TLlfbwokSdfPMxw9ejTnzp1j586dVFdXW7tYP0mlUhEcHMyUKVNwcnLi/fff5/jx49Yu1i8iSRLu7u787ne/47XXXsPT05NXX32VWbNmKbo/xJaJQPiVtFotCQkJ9OzZk5UrV3LixAnFd7ZqNBq6d+/O+PHjycvLY8WKFXz33Xc28VDJHaRdu3Zl8eLF9O/fnxUrVjBs2DAuXbpEQ0ODYkd8bJEIhF9JrVYTFBTEoEGDqKqqYseOHZSVlSk6EFQqFTqdjpSUFB577DE2b97M6tWrqaioUHS5b6TVagkMDOS9995j4sSJZGVlkZKSwtatW6moqFB8KNsKEQi3KT4+npSUFNasWUN2drYijmj/OUajkdTUVAYMGMCiRYss25nZyjes3PH98ssvM3/+fNzd3XnhhReYPXs2p06dUnzzzRaIQLhN7u7uDB8+HKPRyL/+9S/Ky8sV/w0l124effRRwsPDeeedd8jOzrapb1e1Wo1Wq2XUqFEsWLCAvn37smnTJqZPn862bdsoKioSC6R+AxEIt0mtVtOtWzf69etHRkYGGRkZip/SLOvUqRNPPfUUDQ0NzJw5k9zcXJupJcB/15dEREQwc+ZM0tLSqKur44033mDOnDmcOHHCZj4LpRGBcJvkYchhw4YRHBzMe++9R3FxsU08WA4ODvTt25dJkyZx7Ngx/va3v3Ht2jWbKLtMHpr08vJi5MiRTJs2jZ49e7J+/XpmzpzJ2rVrqaysFMHwK4lA+A0kSaJdu3aMGTOGU6dO8cEHH9jMQ+Xg4MCIESOYMmUKn3/+Oe+//77NrjA0GAz07NmTF198kalTp1JYWMhrr73Giy++SFZWls18JkogAuE3cnBw4P777ycuLo5//vOfnD171maG84xGI48//jgPPPAAH3/8MQsWLKCiosLaRfvV5A1iAgICGD58OPPmzaNv376sW7eOtLQ03nrrLfLy8mhoaBATmn6GCITfSF7nMWXKFKqrq5k7d67iDky5FZVKhbu7OzNmzKBPnz4sXLiQ5cuX20Sg/RhJknBycqJLly7MmjWLjz76CJ1Ox1tvvUVqaiqff/45lZWV1i6moolAuANUKhVxcXGMGTOGnTt3snnzZpvpuVepVPj6+jJt2jS6devGokWLWLlypU0P4alUKlq1akViYiKfffYZb775JqWlpaSlpfHHP/6Rr7/+murqajEa8SNEINwB8h6BkydPRqfT8fe//52LFy/axM0mV7cDAwOZPn064eHhzJkzh61bt9pMTefHqFQqtFot7u7uTJo0ibVr1zJixAgOHDjAAw88wKxZs8jLy7P0m1jj75Tft6mpyfKyVllkIhDuoNatW/PKK69w9epVFi5cSHFxsbWL9IvduMIwICCA+fPns3XrVkXv+/BrhISE8Ne//pUlS5YwZMgQ1q1bx4MPPsg//vEPMjMzuXbtWrP2L9TV1XH+/Hl2797N9u3b2b59Ozt27GDnzp2WA5GsQdn7oNsQSZJwcHBgwIABHDlyhK1btxIbG8vIkSMVu3X7jeRVrd26deO5555j9uzZzJs3D4PBQGJiIhqNRvF/w0/RaDS0atWKvn370qVLF9asWcO6detYuHAh//rXvxg1ahS9e/cmPDwcT09Py+a6d+tvrq2t5eDBg3z88cccOXKEgoICfHx8iI2NpV+/fkRERFjlqEMRCHeQSqXCzc2N0aNHc/ToUdLT04mMjCQmJkbxZ1DIHBwc6N27NzU1NcyZM4e3334btVpNQkKCzfwNP0WSrh9Tn5qaSkpKChkZGezZs4ctW7bw+eef0717d5KSkujZsyf+/v537fQro9HIyJEj6du3L++88w4fffQRycnJzJo1Cx8fH6ude2r7n7CCyO3xdu3aMXbsWBYsWMCqVavw9vbG39/fJr5h5bZ3//79MZvNzJw5k7/+9a9Mnz6duLg4m68pwH9XUPr5+TFy5MibZptmZGSQmZlJdHQ08fHxJCUlERgYiFqtvqO1Bvk6e3h4EBERgaurKz4+Pri4uKDT6e7AX3l7RCDcBU5OTgwcOJCTJ0+ydu1aOnXqxLBhwxS9U9H/0uv1DBgwgPr6embMmMErr7zCc889x5AhQxR7avftkCQJNzc3Bg0aREJCAt9++y3ffPMNGzZsYM6cOaxatYqoqCgGDBhAQkICrVq1spnP8HaIQLgLVCoVXl5ejBgxgiNHjvDhhx/SsWNHIiMjbabafeOSaUdHR9LS0njjjTeorq5m+PDhNtEv8kvJ/SceHh54eHgQHh5Onz59OHToEOvXr2f16tXs3bsXf39/4uPj6du3LxERETg6OqLRaFpUQIpRhrtEkiQ6duzIY489RlFREUuXLrW5WYCSJOHs7Ez//v1ZsmQJdXV1zJw5k48++qhFj+G7uLgQFRVFamoqS5YsYd26dQwbNozc3Fxmz57NiBEjGDNmDEuXLqWwsNDqQ4V3kgiEu0in0zF06FASExP5+OOP2bdvH/X19TY1t15ub/fo0YPFixfj6urK3/72N5YtW0ZlZWWLeRBuJO8tqtPp8PDwIDY2lhdeeIFdu3axatUqkpOTycnJ4bXXXiMhIYEnnniCzZs3U1paSmVlJbW1tZhMJpuZnHYj26i/2iiVSoWjoyMTJ04kOzubGTNmEB0dTWBgoLWL9qvIE686derE/PnzmTZtGjNnzqS+vp5x48bh7Oys6N2nfwu5o1ij0eDo6MiAAQMYMGAAly9fZtOmTaSnp7N582bS09Mxm83Ex8fTv39/evfuTXBwMI6Ojuj1ehwcHGxio2IRCHeZJEmEh4fz7LPPMnXqVF599VVmz55tGeu2JWq1ms6dO/PGG28we/ZsFixYQHV1Nampqfj6+iry6Pm7xdvbm3HjxjF69GhOnDhBdnY2hw4dIjc3l/T0dJYtW4bBYKBjx4506dKFqKgo/Pz8CA0NVfSR9yIQmoFWq2XQoEEcPnyYxYsXExkZycSJE3F1dVXsjfFj5M63zp07M23aNObOncvChQupqqpi4sSJ+Pj42E0oyMOQWq2Wnj170rNnT8aPH09xcTHZ2dkcPnyYY8eO8e2333Lw4EGqq6vp0KEDS5Yswc/PT7HXSARCM9FqtTz11FMUFRXxwQcf4OXlxcMPP2yTvfVqtZqYmBheeOEFXF1dWb58OWVlZTz++ONERkZaxuvtjbxtfFJSEvfccw91dXVcunSJs2fPkpubS2VlpeI/bxEIzUQ+Uv6FF17g+++/54MPPiAwMJB+/frZzFCkTN6tqGPHjqSlpaHVavn000+5dOkSjz/+OH369MHBwdbtYMQAABVmSURBVMHmmkS/ldxHIB9eq9frcXFxITIy0tpF+8VaZk+QAsk3S5s2bfjTn/6EwWDgvffeIysry9pFu23yITBpaWnMmDGD7Oxs/vznP/Phhx9SUlJicz3s1qC0ayQCoRnJ36zdunXjySef5MKFC3z00UdcuHDBJnfykb8N/f39eeihh5g3bx5OTk7Mnz+fuXPncuHCBZvYnt4aTCYTdXV1FBYWcujQIYqKirh48SLFxcVW3RpfBEIzk4ci+/btS2pqKlu2bOHf//43ZWVl1i7abZMnMN177728++67xMXFsWTJEtLS0jh69KjivgWVoLy8nIULF9K/f39WrVpFZWUlW7ZsITk52XKWpTXYVuO1hZBX3I0ePZr8/Hz+8Y9/EB4ezpAhQ9DpdDY5pi8v/27bti2vv/467dq14/3337c0JxISEhQ93NbcjEYjTzzxBOPGjbNsWSfXuKx55L3t3XkthLxL0SOPPEJUVBTvvfcex44ds9n9DGUODg74+fnx1FNPMWvWLMrKyhg/fjyffPIJ5eXl1i6eYmg0GpydnXF3d8fb2xtvb2+8vLzw8PDAaDRarUNWBIKVRUdHM2nSJBobG5kzZw55eXktYp2AwWBg9OjRzJ49m+joaF599VXefvttcnJyqK6utvm/r6USgWBlWq2WgQMHkpqayuHDh/nggw8oLi62+QdGrVbj6OjIvffey5tvvsnAgQP5+OOPSUtLY/PmzRQUFNjUmg57IfoQFECtVvPggw9SUFDAypUr0ev1PP3003h4eNhkf8KNVCoVERERvP7662zatInPP/+cGTNm0K1bNy5duoTBYLB2EYUbiEBQAHmTjvHjx1NTU8OSJUssi6Lc3NxsOhRuPHLt4YcfJioqitWrV7NmzRqKioqIjIykrKyMxsZGy9RowXpEICiEJEn4+fnxzDPP0NjYyOLFizGZTDz//PM4Ojq2iN55eXFUmzZtaN++PfPmzePkyZMsWLCApqYmunfvjsFgaBF/q60ScawQ8pBT69atee655xg0aBArV65kyZIlLWbfAXkpsYeHB4mJiURGRqLVasnMzGTq1KksWbKE0tJSGhoaRP+ClYhAUBA5FPz8/HjxxReJi4vj3XffZeXKlS3uFGONRoPBYCAmJoZnnnkGd3d33n77bR555BEOHDjQIkZabJEIBIWRQyEwMJCpU6fSsWNHFi1axOrVq6mtrW1RD4m8G1PPnj1ZtmwZjz/+OIcPH2bkyJE8++yznD59mpqaGhEOzUgEggLJVevw8HBmzJiBv78/b731Frt27WqRD4dOp8PHx4cZM2awZs0aEhMTSU9PJzk5mdmzZ/Pdd99RV1fX4v5uJRKBoGAqlcqy74Cnpydz5sxhz549LfLhkGtGXbp04cMPP2Tx4sX07NmTVatWMXbsWJYuXcp//vMfKisrbXKvQlshAkHB5HX18fHxPPfcc5hMJubMmUNmZmaLrCnINSNnZ2eGDh3KBx98YBllmTt3Li+99BKrV68mNzf3psNRhTtHBIINcHBwoF+/fkyZMoWysjLeeOMNdu3a1eI6Gm8kSRKurq6kpqby7rvvWjZief3113nllVf497//zfnz51tkMFqTmIdgA+QtwQcNGkRDQwNvvfUWr732GjU1NQwaNAiNRtPiHgp5Qxm9Xk9ERATBwcHEx8ezY8cONm3axJ///GfuueceEhIS6NWrF2FhYWi1WsuiIDGX4faIQLAhjo6ODBkyBIPBwIwZM5g1axZFRUWkpqba3DZsv5ZOpyM2NpZ27dqRlJTEwYMH2bp1K3PmzCEwMJDOnTszePBgunbtipOTEyBC4Xa07LuohVGpVJaNSFq1asX06dN59913aWho4KGHHmrRbWp5CrSzszNdu3YlMjKSPn36cOLECTZs2MDGjRvZs2cPXbt2ZeDAgfTp0weDwYBarbZMhxYB8fNEINgYSZJwdHQkPj6e+fPn89JLLzF79mwqKioYMGBAiw2EG6lUKpycnIiMjKRt27b069eP8+fPs3r1ajZu3MiGDRsIDg7mkUceYdiwYbi6utrdhq+3SwSCDZJ3J4qOjmb+/Pk8//zz/P3vf+fixYtUVlZau3jNQq4xyAunPDw8iI6OZsKECaxevZoVK1Ywffp05s6dy+9//3v69+9PdHQ0er0ejUZjWUh1J2sNJpOJhoYGTCaTpbNTLqf8fmazmYaGBst5kDceG+fg4HDHynK7xCiDjZK32mrfvj1/+9vf6NWrFytWrCAzM9Pu1gHID52TkxNt27blpZde4tChQ8yePRtvb28WLlzI0KFDSUhI4NVXXyUjI4MrV65QXV19R/curKurY/78+XTo0AF/f388PDzw8/MjMjKSuXPnUlpaaukH8fb2xsPDg6CgICIjI9m5c+cdK8dvIWoINk6tVtO2bVtefvlltFotGzdu5OTJk1y5csVSVbaXtrP8d8qjEw8++CBDhw7l4MGD7N27l6ysLLZv3056ejpBQUHEx8cTFxdHSEgIXl5euLq6Wg5SuZ1zGHU6HU8//TSjRo1i7ty5fPjhh/zud79j2rRpBAcHI0kShw8f5sSJE7z44oucPHmSp59+mj/+8Y+4urrejUvyq4lAsHHyZJ7IyEjGjx/P2bNn2blzJ0uXLmXSpEmEhITYzfFqN5Kr4TqdjgEDBnDvvfdSXl5OZmYme/bsITs7m82bN7NkyRJCQkJISkqic+fOhIWF4eXlhbu7O05OTj+4dj91HeVdovz9/YmNjUWn0xEUFISnp6dlI5impibCw8Pp3r07+fn5hISE4O3tfdevxy8lAqGFkCSJ1q1b4+HhQWhoKJ988glXr15lwoQJ9OjRw3L6sL2SJIlWrVrRu3dvEhISKC4uJicnh+zsbE6fPs2RI0f44osvMBgMhIaGEhQURGBgIH5+fvj7++Pn53fT2ZW2cJLz7RCB0ELInVNqtZqEhARcXV1ZvXo1hYWFjB8/nkGDBqHX6+26t13ujJV3hvbz86Nv374UFRVx6tQpzpw5w9mzZ7l48SL79u2jpKQErVaLv78/gYGBBAYGEhoaSnBwsOWbv6UFrQiEFsjFxYUJEyZYhib/+te/cu7cOR5++GH8/f1b1A38W0mShIeHh6U/oaamhqKiIq5du0ZxcTGXL18mJyeHs2fPsn//furr63F3d8ff35+xY8fSv3//FrUvpAiEFkauKbi5uTF48GB8fX1ZuHAhixcv5vLly0ycOJG2bdui0WhEMPx/N+7lqNVqcXFxISwsDLPZTH19PcXFxZbX5cuXOXbsGMXFxVY9UOVuEYHQgjk4ONCtWzfLAazygqBp06bRo0cPuxqBuB3yBi4+Pj54e3tjNpsxmUykpKRgMplwdHREp9NZu5h3VMuKN+Emcps5KCiItLQ0pk6dyrlz55g8eTKbNm2iqqpKrBb8GTf2zWg0GnQ6HS4uLri7u7eYzW9vJALBDmg0Gtzc3Bg7dixz5szB2dmZ8ePHs3z5ckpLS0UgCBaiyWAn5OrvgAED8PLyYt68ebz55pvk5OQwefJk2rRpg06na3HfeMKvI2oIdkSlUln6Fd5++21+//vfs27dOp555hm++uorKioqRG2hGSj5GotAsEPyJKbp06czdepUqqqqmDZtGosWLeLUqVMteiem5iAvXJJft/qdG/+pFKLJYIfkWXYuLi488cQTBAUFsWrVKstGpqNHj6ZXr14YjcYWOyPvbjCbzTQ1NVFeXk5+fj5ms5nS0lLLVvKSJNHY2Mi1a9fIy8ujtraWkpISampq0Ol0ihjCFIFg59RqNcnJybRv354vvviCzz77jJdffpnhw4czevRoAgMDFbEs1xbU19ezYcMGPv/8c44dO0ZjYyM7d+6kpKSEYcOGkZKSwksvvURhYSEHDx6koqKCFStWcPjwYZ599lm6dOli7T9BBIK9kxcBhYaGMnbsWCIjI1m6dCn//ve/yc7O5sknnyQuLs4yCUfUFm5NpVLRsWNHjEYjjY2Nln+v0WgICAhApVLx+9//nvr6esaPH2/5udyEUwIRCALw38U/8pmLa9euZcGCBTzxxBM8+uijPPPMMzg5Odn1Woifo9FoaNu2LeHh4Tf1Ddy4LDspKelH96tQynW1fqNFUAS5r0Cr1eLn58ejjz7KsmXLaN++Pe+99x7Dhw8nOzuburo60el4C/JGLRqNxrKIysHBAY1Gg0ajsezwdOPP5JcS+g9ABIJwC46OjnTt2pVPP/2Ul156iZMnTzJ8+HAWLFjA1atXxQzHFkoEgvCj5G87R0dHJk+eTHp6Ol26dOEf//gHkyZNYv369eTn51NXV2d3W7a1ZCIQhJ+kVqvR6XTEx8ezYMECHnnkEQoKCnj++eeZNWsWu3fvpri4WIRCCyE6FYVfRJIkvL29mTJlCn379mX9+vXs2bOHI0eO0LdvX5KTk+nVqxcGg0GMRtgwEQjCL6ZWqzEajfTs2ZOIiAgSExPZtGkTa9euZd++fQwcOJCUlBQ6depk2UlIBINtEYEg/GryLMfk5GSio6NJSUlh8+bNfPjhh+zZs4d+/foxbNgw2rVrd9PmI4LyiUAQbou814K/vz8+Pj7ExMTQv39/li9fztKlS9m/fz/Dhg1j8ODBeHp63pWDUYQ7TwSC8JvI28AHBgbi4+ND9+7d2bt3L4sXL2bGjBls3ryZxx57jMTERIxGo6gtKJz4dITfTN5VSK/XExgYyMiRI1m2bBkTJkwgJyeHCRMm8NBDD/HZZ59RXV1NXV2dmMegUCIQhDvqxrUR06dPZ+PGjTz77LPk5+fz5JNPkpCQwPLlyyksLKShocHaxRX+h2gyCHfcjaMLQUFBPPPMMzz00EOsXr2aDRs2MH/+fDQaDWazGS8vL8rLy6mvr7ccwipYj7j6wl2l0WjQ6/W0adOGtLQ0Pv/8c6ZOnUqbNm24cuUKJ0+eJD09na+++orCwsI7eviq8OuJGoLQrFxcXHjwwQeJjo5m+vTpZGdns3PnTg4cOED37t3p1asXUVFRhIWF4ejoKIYtm5kIBKHZyE0JBwcH3N3d8fHxoX379gwdOpSioiIyMjLYunUrUVFRxMTE0KVLFzp27EhQUJDlDIm7OdnpVlue3fh+//vz/y3Lj/3cloZaRSAIViNJEo6Ojtxzzz2EhITwwAMPcOjQIQ4cOMBnn33G+vXrCQoKokOHDvTq1YuePXvi7u6OWq2+43MampqaKCsro6ioyBIM8uiJwWDA09OTwsJCamtrb/q5Wq3G09OTxsZGSktLbxo9UavVODk54eHhgVarvWNlvZtEIAhWJdcYPDw8cHd3JyoqinvvvZcLFy5w+PBhvvzySz799FO++OILgoODiYuLIykpiU6dOlkOULkTNYfGxkZOnDjBRx99xPnz5zGZTKjVatq2bUt8fDwjRoxg8+bNHDhwgLy8PEvZo6KieOyxx6iqqmLz5s0cPHiQpqYmzGYzbdq0YeDAgdx77714eHjcqUt2V4lAEBRDrjHIJyz36NGDMWPGkJ+fz/bt29myZQsLFixgyZIlBAQEMGTIEIYMGUJISIil1nC7/Q0ODg506dKFgIAAFi9ezAcffMCgQYOYNGkSAQEB6PV6Ro4cSWxsLPPmzWPbtm08++yzpKam4ufnR1NTE4GBgQQHBzN16lS6devGH/7wB2JiYnB2dr7DV+ruEYEgKIpcDZd3FjIajfj5+RETE8OkSZP4+uuv2bhxI+vWrePkyZMsWrSIbt26MWjQIBISEvDz87MEg9ys+CU1CEmScHJyIjg4mIiICJydnfHy8sLPzw83NzdUKhUeHh6YTCaCg4Mxm834+vri7++PXq8HrodK586dMZvNODs7ExAQgKura3NdujtCBIKgaHJAGAwGHB0due+++xg4cCDvvPMOmzZtYv369ezbt48dO3bQ0NBAYGAgCQkJ9O7dm8TERAwGA3q9Hq1W+4t2j5b7DX6qj+J/g+bG//Zud3zebSIQBJtw40OmUqlwcnJi+PDhDBkyhCtXrpCZmUlWVhbZ2dkcOnSIPXv2UFVVRWxsLJ07d6ZTp06EhITQqlUry+uXLNH+tQ+2LYcBiEAQbNCNG8JqtVqcnZ0JDQ1l1KhR1NXVcfr0aY4ePUpWVhY5OTls3LiR5cuXo1Kp6NChA507d6Zr164kJSXRqlUrm36A7zQRCEKLIUkSOp2Ojh07EhkZyahRoygvL+fMmTOWV35+Pvv372f//v1ERETQqlUraxdbUUQgCC3KjZ2ScH33aB8fHxITE2loaODy5ct8++23lJWV4eXlZeXSKo8IBMFuODg4EBAQgJ+fH2D77f27QQSCYFfE2oifJq6MIAgWIhAEQbAQgSAIgoXoQxAEri9brq+vp6qqimvXrlFfX095eTmlpaU4Ojqi1+upra2luLiYkpISTCYTFRUVlJeX06pVK8xmM9XV1Vy+fJnGxkZqamooKyujuroanU6nmNOdf44IBEHg+mrH3Nxc9uzZw44dO2hqauLUqVNs3LiRTp060b17dzIyMjh48CAHDx7E1dWVQ4cO4eLiQlJSErW1tWRlZbFu3TpcXV25evUqGzZsoKqqipiYGJuZ7yACQRC4PgRpMpnQ6/UMHTqUwYMHW+YzNDY2olaraWpqws/PjwkTJliGLG/85jeZTKSkpDBgwADg+vZxjY2NNjW0KQJBELj+8Hbs2JGOHTve8ncGDhz4k/+PqKioO12sZic6FQVBsBCBIAiChQgEQRAsRCAIgmAhAkEQBAsRCIIgWIhAEATBQgSCIAgWIhAEQbAQgSAIgoUIBEEQLEQgCIJgIQJBEAQLEQiCIFiIQBAEwUIEgiAIFiIQBEGwEIEgCIKFCARBECxEIAiCYCECQRAECxEIgiBYiEAQBMGi2c9lMJvN1NTUUFJSgkaj3GMhzGYzZrOZqqoqNBoNZrOZ0tJSxZa5qamJyspKHB0dcXBwoKKiQrHHh5lMJsrKyqitraWhoYGKigpKSkqsXSy7p1KpmjcQ1Go1kiTxzTffoFarUamUXUExm82Ul5fj4uLCxYsXWbx4saLL3NDQgKurK9XV1axcuVKxgWA2mykrK+P06dNUVlaSnp7O3r17rV0suyZJEi4uLkhms9ncHG9oNpv5/vvvmT59OufOnVPszfq/zGYzTU1NwPUEVfqxXPLHaQvlbGpqoqmpySa+HFo6SZLw8fFpvkCA6zdBQUEBZ8+etVTJBUGwPkmSMBgMzR8IN74EQVAOSZKaNxAEQVA20XATBMFCBIIgCBYiEARBsBCBIAiChQgEQRAsRCAIgmAhAkEQBAsRCIIgWIhAEATB4v8B7qGha6fTMJYAAAAASUVORK5CYII=)
I, II, and III are three isotherms, respectively, at
and
. Temperature will be in order
![](data:image/png;base64,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)
chemistry-General
chemistry-
vs
curves at different pressures
and
for an ideal gas are shown below:
![](data:image/png;base64,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)
Which one of the following is correct?
vs
curves at different pressures
and
for an ideal gas are shown below:
![](data:image/png;base64,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)
Which one of the following is correct?
chemistry-General
physics-
In a YDSE shown in Fig a parallel beam of light is incident on the slits from a medium of refractive index n1 The wavelength of light in this medium is l1 A transparent slab of thickness ‘t’ and refractive index n3 is put in front of one slit The medium between the screen and the plane of the slits is n2 The phase difference between the light waves reaching point “O” (symmetrical, relative to the slits) is
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)
In a YDSE shown in Fig a parallel beam of light is incident on the slits from a medium of refractive index n1 The wavelength of light in this medium is l1 A transparent slab of thickness ‘t’ and refractive index n3 is put in front of one slit The medium between the screen and the plane of the slits is n2 The phase difference between the light waves reaching point “O” (symmetrical, relative to the slits) is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM4AAAC/CAYAAAC2YeOgAAAgAElEQVR4nO2dd1gUV9vG79nCsiwsTRCwJYaYxBLFNxgNdqNoYifEhlFiibFh+bChJEENyqsmRKOSKFjQqCEao7Fhw5LYRTR2UFHpZVlYWLad7w/fnTB0YZdd8Pyuay6YOVOemZ17nlOfwxBCCCgUykvBM7UBFEp9hAqHQqkBVDgUSg2gwqFQagAVDoVSA6hwKJQaQIVDodQAKhwKpQYITG1AQ4EQguq0JTMMA4Zh6sAiijGhwjEA9+/fx/79+yGXy6sURdOmTeHn5wcrK6s6so5iDKhwaolCocDixYvx66+/VvsYpVKJmTNnGtEqirGhZZxakpubi+Tk5Jc6Ji4uzkjWUOoK6nFqCSEEfD6fXZdKpXBxcQGPxwMhBAzDQKPR4OHDh+w+Jfen1E+ocAzMkCFDMH36dAAvRMXj8SCTyfDpp59CJpOZ2DqKoaDCMTBSqRSNGjVia9l4PB4EAgFsbGyocBoQJhWOVq1EYaECKp0AUqkVFDnpyC22grOrPST8+lllSwiBTqfjVE/r1ykNB5NWDuQlX0PomD7wmbMR5y4eRegXA9G282eIiks3pVkUSpWYVDgOb7SGs50AYjEfOXI7+I3/GA4E0BJa2Ucxb0z6huqyLyDuYiYkjd3RtZcX5Ak3oOvQF23bOpnSLAqlSkwqnKxzsbiqaYr+H/dFY9EjHIp7jM5D+qNjYwagRQKKGWNC4RTj9InLcOs9Cb7vSaC5G4eLma7o10EEPE3E9VOncUdWbDrz6hmEECgVeVBqAULUyJPlQ2NqoxowphOO/CqOXsxH16H9YAsg5cZNPMzNR+qTR8hW5+Hk5s2Iey43mXn1icLMJBxcOw9TF2/EjUePsHfNHPiNm4ZfrtLqb2NhOuFYtsbCqN1Y0NcVAODUeRTWrF2O0T274PWWb8OtsSNEtI6gWljYOEH9+CLOxyfhZvwV8N3dUfxPHC7dyzO1aQ0W07XjWNjBvbUduypu4YnhLfRrcuhou0e1EVgW4/HTHIidmqDlG13QzSYW34teh4dHU1Ob1mAx0286DzweD3y+mZpnbqSeR+y1XLR8tws8PJri7pGTSHfpjO5v0T5xxsIs30xtYSqSnz/Cw7upUJnamHrAk3PnkGTZAePH94I90hB77g5afNAX7gxBfup9XLx8BzJaU2BQzLKvGk/UHJPCN0AntofQ1MaYOyQHJ0/8DfuuX6B/UwHw7CrO3SpCM28VzhyPgyzrNi6dikXE23OweU431M+OTLVH3+XJUKNvTSYcmUyGR48eoVWrVrCysuLcEMMXwaGxq6lMqxV8Ph9CoZDTyVMoFILHM5JzV8lAnDrBr3dPWAAgKiFc3moJcbEArbp3hZNFT3RzF2DNZQZamOmX0ojodDpcvnwZ2dnZAIAWLVqgTZs2tT6vSZ7js2fPMG/ePMTFxaFHjx6YNGkSevbs2SDG4j979gw3b94EwzDsWJ28vDzk5uYa54Kilvh86Rp2lWnZCysju8La1goMAGXGbezcEgtFJ89Xsk1ZoVAgMDAQZ8+eBQBMnjwZGzZsqPWHzCTCuXr1Kn755RcAwC+//IKTJ09izJgxmD9/PpycnOq1gI4fP44bN25wfhitVov8/Hx23bg9pYWwsf03g2th0xjdfD7ElQ3bcd3XA51esVAHarUaEomEXReJRNDpdPVTOK6urnBxcUF6ejoIIUhPT8d3332HvXv3YtmyZRg0aBBsbGzqhYD0Izz15Ofnc0RiSohOiSy5Dq7vdEeXDkpILExtkWko/aEyxHv1UrLT59tru3h6emLv3r0YNWoUJBIJO8z48ePH+OyzzzBmzBicPn3aYNcz5uLm5ob//Oc/7I+hD/9UcuHz+Zz1Dz/8sNY/XFW/U0JCAiJWLsJPP27A+fhktPMdhzavWgHHiFT7UarVauzZswd3796FUPgiK1BSufqXPzs7G0qlkhM/rPRLBbxwmSKRCBKJBEVFRex5dDodDh48iAsXLqB///5o1aoVbGxs2PTScclK/1/eNfX2lT6msv3Lu055aTweDy1atECfPn2g0Wg423U6HRISEiCTydCyZUt8+umn8PT0xODBg6v51F8eQghOnz6NgIAA3PrnNnp2746xX0xGczdbo12zPlHntWoFBQVYtGjRS0d0qQr9C1aarKwsREdHs/uUpLKbLy+tov0rEuDLnlMoFEIkEnGyBPrKAblcDq1Wi9TUVPz+++/QaDTo3LkzXFxcDJ4VlcvlCA4Oxvbt25GTkwMAOHX6FLz79MSSJUswevToepH9NSSls2kGK1+SapKZmUkkEglhGMagC14MIKhwMfT1jLmUZ29599SkSROyadMmkpWVRXQ6XXV/gkrJyckh48ePL/Ps9P87OzuTXbt2Gex69YWsrCzi7e3NPoeZM2cSjUZT6/NW2+NIJBIsXLgQmZmZEAgErHLJ/0Ig6deVSiXUajU7zl6n05X7PyEEQqEQ8fHx+OeffzjnAF58sW1tbTF06FBOrYj+mhWt1ySt9D4lbSnv+NLnAYDCwkKcP38earWas12tVkOpVEKpVLLHPX/+HBMnTsRvv/2GGTNmoH///rXyBKmpqZg3bx7roQGgR48e8PT0RHR0NNLS0pCRkYHAwECIxWIMGjTolfM8BqfW0qsEnU5HtFot0Wg0RK1WE5VKRZRKJVEqlSQ1NZUEBgaSli1blvlK2tjYkFmzZpG//vqLaLXaal1Hv2i1Ws6i0WjKLGq1mrOoVCp2KS4u5ix6e0suRUVFnEWhUBAfHx9ibW1NLC0tOYtYLCYWFhYVelQHBwcyceJEkpiYWCNv8Pz5czJixAjO8+vVqxeJi4sjT58+JeHh4cTR0ZHj7Y4dO1aTn7NeYiyPY1ThVERSUhLp3bs34fP5nJfIysqK9O3bl1y8eNEgN1dXZGVlEVdX1yqznQBI8+bNiYuLS5lsXIsWLUh4eDiRyWTVFtCzZ8/I4MGDOaLp168fOXv2LHn06BG5f/8+SUxMJKtWrSJSqZTdr2nTpuTUqVNGfirmQVZWFunXr1/DEM7u3bvLeJlOnTqRrVu3msKcWpOamkqaNWvGuR+xWEysrKyIlZUVRyQ+Pj7k77//Jr6+vkQikZQRVo8ePcjhw4eJWq2u9JqPHz/mfEkZhiEff/wx+euvv0hSUhK5d+8euXfvHrl//z5JSkoiS5cuJUKhkN3f09OTpKSk1NETMh2lhRMQEFCtXExVmKRm383NDU5OTsjKykKTJk0wc+ZMjB49Gk2aNDGFOQaFYRj06dMHw4YNAwAIBAIEBwcjPf1FyCutVovOnTtjx44diImJQXh4OC5dusSWf+Li4nDt2jWMHDkSM2bMQNu2bcuUR+7cuYMZM2bgxIkT7DUHDx6MoKAgODg4cMpZ5H9lNgcHB07tpFKpRGFhoVGfhTlATF2rZkhUKhW5du0a2blzJ7l165YpTDAoJT0OwzDkq6++Ik+fPiXJyckkNTWVtGrViv3iDR06lBQXF7PHPn/+nCxfvpw4OTmVyb698cYbJDQ0lBQUFLD737lzh3Tr1o3jaYYPH06uXLlCEhMTWU+jXx4+fEgiIiKIm5sbe4ytrS2JjIys0qs1BDIzM43icUwyHkcoFMLDwwOjRo0ySE9Vc0OlUqGoqIhdymun0uPm5oZFixbh9OnT6NevH8e7JCYmYuHChejduzcuXryItLQ0+Pn5sR0WGYbBRx99hODgYDg4OHC6/jAMA4lEghMnTmDx4sVISUlht4eHh8Pf3x8CAe1KUFPokzMTWrdujY0bNyIiIgJ///03zpw5w2YrLl26hMmTJ8Pd3R3Xrl0D8EIAQ4YMwYQJEyCVSjnZM734Dh48iHXr1iEzMxPAC5FOmjQJvr6+dXx3DQ8qHDPitddeQ2hoKFJTU7Fnzx6sXLkSaWlpbN+zhIQEAC+E8dlnn2H+/PmwtLQsIxo+n4+tW7ciPDwceXkvAna4uLhg/fr1GDJkiEnuzZQQQ5VrSmCWQ6dfdVxdXREQEIBz586hX79+nDSGYeDv74/58+dDJBJxRMPj8cAwDDZv3ow1a9awonF0dERkZCQVjQGhHsdMIf8bbnH79m22JwOPx8PEiRMxZ84cCAQCTplG38k2IiICGzduhEKhAPAie7Zt2zb06dPHVLdiVpTuvFtTqMcxQwghOHbsGHx9ffH06VN2JOmUKVMwd+5c8Hg8aLVadn+9sH744Qds2LCBFc1rr72G7du3U9EYAepxzJAjR45g/PjxyMjIAPAijsH06dMxbdo0MAzDqaXTe5rVq1cjMjKSzbo1b94c27dvR9euXU1yDw0dKhwzghCCGzduIDg4mBWNUCjEkCFDMG7cOPD5fE72jM/nQ61W4+jRo9izZw8rGj6fjzFjxsDLy8sk9/EqQIVjJhBCEBMTgwkTJrBDr8ViMWbNmoWJEydCp9OVEY1SqcSKFSs4vaKBF4MBIyIiYGVlBT8/P7Ro0cIwvaG1xcjNlUEjtIOTVIic1OfQ2LjA2ebVC+JFyzhmACEEO3bswJQpU1jRSKVS/N///R8mTZoErVbLyZ4xDAOlUomQkJAyotGfLycnB0uWLIGvry+2bNlSaSNstSjKxvWjEZg66f/wx+X7uHJgHWaM88OC8CMwUvweo2Co4RRUOCaGEIItW7Zg6tSp7KhNW1tbBAYGwt/fH1qtllOlKhAIUFRUhODgYOzZs4ezvbyX4sqVK5g6dSo+/vhjXL16tebVs0JrOFlk4Z+bD5GY+ADPeW/hP40LcOXGfRRVfbTJICXmYjUkVDgmRK1W4+eff+Z4GgcHByxcuBB+fn7QaDQcTyEQCJCXl4clS5Zg79697HZPT0/s27cP48aNg6uraxkBKZVKHDlyBL1790ZQUBCSk5Or9TJx9hGIkHsvCfkCJ7i2aIYeAzuiSF6MVu+9j/oUOpJ6nAZAbGwsAgMDoVK9iJDt6uqKxYsXY8SIEVCpVJwXl8/nIzc3F0uWLMEff/zBbvfy8sKWLVswcOBAREVFYffu3ZgyZQoaNWpU5iWRy+UIDQ3FoEGDEBkZyVZbl4dSqcTJkydLeKkMHI29DKb5W+jxnifsko/j9AMxvHr+539hdV+tcIdUOCbkxo0bkMv/nTzLxcUF3t7enDYa4F/RLFq0CH/++SeAF1/Obt26Ydu2bWjdujW7b7du3bB+/Xrs378fU6ZMgVQqLSOghIQETJ48GcOGDWPDcJVEq9Xixx9/xKhRozBq1Cj8/sdhIPs6Tt9j8JH/F3i3EfDw1Bk8t38PvTpagqhzkXD2BOLin0JTD/RDG0DrOWPHjkWnTp3Y9du3b2Pp0qUoLi4Gn/9iig4LCwtkZmZiwYIFOHbsGIAXP3yvXr2wa9cutGzZstxzf/DBBwgPD8eZM2cwevRo2NnZcV4YnU6H2NhYDBkyBP7+/mxDKwDk5OTgjz/+QGZmJh48eIDvf/gOpyO34Im0C/wGuQPIRdzZ60DjFii+egIH/jyKc5cuIjp0Jlb+/hC1rIaoF1DhmJCmTZti165d6NixIwCguLgYMTExCAsLg1KphFgsxrNnz7Bo0SLOoLWBAwdi27ZtcHNzq/T8QqEQ7du3R3R0NI4ePYoxY8bA2dmZIyC5XI6tW7fCw8MDq1evxuPHj9GoUSN06tSJ3e/MyRP45sc/4T1qJDysAUAFSyd3uDcC+E4d0K27NybODcIsPw+kxt/BKzFza61H9FDKDGRbuHAhuX//Prl37x5JSkoi7u7uFQ5kI4SQu3fvEk9PT3YfkUhEvvzyS3Ls2DHSo0cPdjuPxyM+Pj7kyZMnNbb1+PHjZNKkScTS0rLc8FXvvfce+eGHH8jVq1eJh4fHv0FFnJzJX+fi2PMU58tIAWccnJKc376SbD2XXmPbjEFaWhrp06cPex9z5swxyHmpcAxAbYVDCCE3b94kHTp04IindByDESNGkIyMjFrbq1KpyLlz54ivr2+ZgCn6pWvXrmTgwIHExsaG3dahQwcil8vLOaOOyO+dJnuPJpDCWltnWIwlHJpVMxPatm2L7du3swX94uJiPH36FMCLyoHPPvsMERERcHJyqvW1hEIhvLy8sGPHDpw5cwZdu3aFWCzm7HPu3DkcOXIECoWCzbLFx8dj2bJl3MoEokLK5f3YeDgJjnZqPLybiDwzy6sR2o7TsGnbti2io6M5tWQCgQCTJ0/GmjVrYGtr2PjPQqEQH3zwAc6ePYuffvoJPXr04JR/9O1IJV+8bdu24eTJk/+eRCPHP7fuIf3xTfz+y26cjE8BERnUzFpT8p4MFojRIH7rFccQWbWSXLhwgbRv357weDwyd+5ckpuba/R70Ol0JC8vj0RGRpK33nqr0thwHTt2JImJiUa3yRCkpaWR3r17s7bPnTvXIOelnTzNkPfffx9HjhyBTCbD66+/DpHIuJ9wQgj279+P8PBwFBYWIi0trcJg+ABw7do17NixA4sXL35lQ+lS4ZgpLi4ucHFxqZNrJSUl4fPPP3+p6Ra//vprvPHGG/jkk09gYfHqzVhFyzgUMAzDxiuoatGj0+ng5+eHOXPm4Nq1a0Yb22+uUI9DQdOmTbFu3TpERUVBKBTCyckJDg4OsLW1ha2tLWxsbCCVSnH79m2sWbMGcrmc7XX8448/4vDhw5g4cSJmzpxZZgZxU1Na0IayjQqHAgsLC4wcOZKd/kMgEIDH47FTMJZk+PDhCAkJwcGDB9mZ9JKSkrBkyRLs2bMHoaGh6NWrl9HLZaaGZtUoLBKJBFZWVrCwsKhwfE/btm2xZ88eREZGomvXruw+Wq0W8fHxGDJkCL788ktcv37dbLJvxrCDCodSI0aOHIk9e/Zg2bJlaN68OSsglUqFqKgoDB8+HMuWLUNmZqbZCMiQUOFQaoyrqysWLVqEgwcPYuTIkZy0x48fIzg4GAMHDuSMH2ooUOFQak27du0wY8YMfPDBB2XKNpcuXcKPP/6Iy5cvm8TzGOuaVDgUg9ClSxfExsZi5cqVePvttznlo9jYWPTp0wfBwcF48OCBSbNudOg0xeywsrJCQEAAYmJiMHfuXIhEIvZFzc/Px7Jly+Dr64uffvqpzChXY1JSqIYSLRUOxeC0adMGK1aswLFjx9C7d292NCvwYrh4QEAA+vXrh4sXL9Y+bNVLQj0Oxazh8/no3r07Dh06hO+//x7t2rVjX9ri4mKcPHkSffv2xbx58/Dw4cN6V/NGhUMxKhYWFpg+fTpiYmIwe/ZsODo6crJvq1evxvDhw7Fx40YUFBQY/Pq0coBSr2nVqhVWr16Nffv2oV+/fpzs282bNzFjxgz4+PiUG3XHkNCsGqVe0q1bN/z+++/46aef0KpVK07Pg2PHjmHw4MGYPn06njx5YtbZNyocSp1jaWmJzz//HCdOnMCsWbM4kXfy8/Oxfv169OnTBxs3bkROTk6tBUS73FAaFE2bNsWaNWuwe/du+Pj4gMf793VMTEzE1KlT4efnhz///LNWL78xemtT4VBMTs+ePbF582ZER0fjzTff5Lzohw8fxtixYzFp0iSzyr5R4VDMAqlUilGjRuHChQuYM2cOXFxcWAHJZDJs3rwZ77//PiIiIl6q4yghxChtRVQ4FLPCwcEBq1atwq5duzBixAhO9i09PR1ffvklRo4ciYMHD9bI+5hFrZpOpzPpoh+FaOqlZNUq8OLH4fP57FI6PJE+EEbp81D+pUePHti0aRN27NiB9u3bc57hyZMn4e/vj3Hjxr103zdDPecajwC9efMmxo4dW2Y8ekXTYZe3X+m0kuvVOa70seWdo7zx8uXZWtH+Fe2jh8fjQalUIjs7G8CLH2bfvn24fv06O44/NTWV3f/MmTNo27YtGjduDE9PTzRv3hyNGjVCo0aN4ODgAEdHR1haWrIjMIVCIYRCIQQCAfh8PucLXN7zakhIJBKMHDkSvXv3Rnh4OCIjI5Geng5CCLKzs7F9+3acOXMG06ZNw+TJk8udmaE0hnpWDKmhBA8dOoSPP/7YIEa8yjAMA6FQyE7BrlarwefzIZVKYWdnBycnJzg7O6Nx48ZwcnKCo6Mj7O3tYWtrC7FYDJFIBEtLS4jFYlhbW0MikUAsFrNLbewyN65fv46QkBDExsaisLCQ4z28vLywYMECeHt7c0avPn/+HKNHj8aZM2cAAPPnz8eKFSvKOTtBSSVUdf819jj6cenmTF1mf0peq/RDrypghH62aD1arRa5ubnIzc3Fo0ePqry2RCKBVCqFvb097OzsYG1tDalUChsbG9jY2MDS0pL1nHrPBbyI1KnVamFpaQmJRAJbW1vY29vD0dERdnZ2kEqlbMCO8uIPVHZPxsDDwwO//vor9u3bh3v37rGenRCC8+fPY/jw4RgxYgTc3d3h4+ODNm3aVMsuQrR4fPk4LtzPhFarhFwthdeAj/FuEwkqOrrGHkculyMhIYGTv6/qVJWlv6wZ1TlX6b+V7VPZcZXtwzAMsrKyMGvWLGRlZYFhGPj4+KBv374ghIDH4yE4OBhpaWkAgE6dOmH27NlgGAY6nQ7Z2dnIzMxEZmYmUlNTkZaWhuzsbMhkMrbvlv6l1Wg0KC4uNko3eeDFx1AsFsPKygq2traQSCQQiUTsF9zS0hJ2dnZwcHCAs7MzXF1d4ezszGYxHRwcYG9vDwsLC1aoFX1cDSG05ORkbNq0CevWrYNMJuM8i1atWmHy5MkYPHgwJk2ahLi4OABlPQ4peIDIFatwXfQ+Rgz8D6TQ4MGJDfjhuABBa1fD+01J+fbXVDiUf8nJyYGHhweSk5PBMAyCgoIwYcIEEEIgFArRu3dvPHjwAMCLKDG//fZbmXPodDpotVp2hmn9UlBQgOzsbHbRCyw1NRUZGRmQyWSQy+VQq9UccSkUChQWFkKpVHKmeS9NbX5+Ho/HZhd5PB4IIdBqtbCwsIBUKmXLbm5ubnB1dYWTkxNblrO3t4eVlRUEAgEEAgFEIhG76Mt11RVdQkICFi9ejNjYWM6Hhcfj4d1334VCoWCff0nhqPNuIezLqThlNxZRqz9HM/H/nEDeP5jepzdu9/0Rvy3/BPblmEHDQxmA0vN16ssq5XksnU4HlUpVJvolj8cDj8eDUCjkbJdKpVVOIKVHJpMhNzcXMpkMMpkMOTk5yMjIQE5ODmQyGRQKBZRKJdRqNYqKilBQUIC8vDzk5OQgLy8PBQUFKCwsrPQape9FoVCUO5doRkYGHj58yNmmz52UHMRmaWkJW1tbODg4wMnJiSMufUw3sVjMKcfpt0skElhbW6N169bYv38/fvvtN2zcuBFnzpyBWq2GTqdDfHw8R2hsDklbgANhc7Dx7uvY/udn/4oGAMSN0f5tMbZfuIb0vE9gb1/2OVDhNCDs7OxgZ2dXrX0LCgpYr5Sfnw+5XM5uUyqVUCqVUCgUkMvlyM3NZb1deno6cnJykJubi/z8fM7XnWEYzvTypb1ZeaM+9ddKT0/HnTt3KrVZIBCw5Tc7OzvY29vD2toaVlZWsLS0hI2NDaysrODk5ISsrCz241XSjgcPHqCgIB+6pF+xcuN1dP86CF6upWLAaVWQ5ea/KN9U4JCpcF5RrK2tYW1tXa191Wo1uxQXF0OlUkGlUkGj0UClUiEvLw+5ubnIyspCVlYW0tPTkZKSgtTUVE55TV/FrtPpWK9X0jPrqSj7qNFoWG+anJxcob0WFhbQaDTlnufBgweQ5Wbgn50RuCrpiMCe70FYah9V/hNcScjBGwNbwk5a/jWocChVoi9z1AT9F1+n0yE/P58tq+Xk5CArKwtpaWlIS0tDZmYmm13U6XRsWa2oqAj5+fnIz89HUVERlEpllddTqVQVpnfs+B5cnBmsPXEHTd6Zgjdbli38p1zahRNpr2FS785oXIFCqHAoRqVk7Zq9vT3s7e3h7u5e5XH5+fnIy8uDXC6HXC5HTk4OWxbLz89nKz6KioqgUCiQl5cHmUyGrKwsVmg5OTll+qmdP38eT5LikacQwc69MWxL60adjOi1v0Pc3Qe+vdpUWB1NhUMxS/RtUNVBLyCVSgWFQoFDhw4hLCys3KzaO++8jUauHni7pRVi82UoUgHQ19MQDa5uXYbNtxtj7vZAeDSquMrcvFswKZRqoG9fkkgk2LNnD5YvX47nz5+XK5w2bVrD1u51DJ06FpIHp3DgyD/IlecjNzMVf+9eiaCoREz4cStm9HSt0NsA1ONQGgCEEJw6dQrffPMN27UGeJFNdHBwAJ/PR0ZGBoB/a/Ze+ygIETIrbD2yBdsy2kFSlIrkPBssiPoNPVtVXTNJhUOptxBCkJGRgfDwcGzcuJEzoxzDMBg6dCg+/fRTbNiwgRXOv206YnQZvQidh+UiOVUGS0c3NLat/tQkVDiUegkhBLGxsViwYAHi4+M5XaAcHBwQFBQEf39/qNVqrFu3rsLzMGJ7tGhZTgtnFVDhUOoVhBCkpKQgLCwMUVFRyM/PZ9P4fD769++PZcuWoUOHDgBQaXtPbaDCodQbCCGIiYnBqlWrcOnSJXY7wzBwd3fHlClTMG3atEpng6NTGVJeGQghePLkCVasWIHt27dz+tMJBAIMGzYMixYtYr1MXUCFQzFbCCGQyWRYtWoVoqKiOCNphUIhPD09sWrVKrRv3x5WVlZ1ahsVDsUs0el0OHnyJObPn8+ZT5RhGLi4uGDGjBmYNWvWS49ypVk1SoOEEILnz5/j+++/x+bNmyGTydg0hmEwbNgwBAQEoHv37tU+nzEG/lHhUMwGQggOHDiAkJAQXL16ld2u9zLz58/HuHHjqj10wphQ4VBMjr6KeenSpdixYwdnug+hUIi+ffsiLCwMbdq0MaGVXKhwKCZFo9Hgt99+Q2hoKG7cuMFuZxgGb775JqZPn46pU6eWiV33MhgjOgAVDsUkEELw4MEDrFmzBpGRkZxIP0KhEL6+vggMDDRIFXNFMftqAxUOpc4hhGDnzp34+uuvy8QlcKJpbM0AAA1PSURBVHZ2xvfff4/BgwdDIik/wow5QIVDqTMIIcjKysLWrVvx1VdfcRoyGYbB+++/j2XLlqFPnz4GvSbNqlHqLYQQnD59GsuXL8eJEyfY7QzDwM7ODjNmzMDUqVPRuHFjE1pZfahwKEaFEIJ//vkHK1aswIkTJ9jAjAAgEokwYcIEjB49Gl5eXia08uWhwqEYjfz8fERFRWH16tWcXsp8Ph/vvPMOli9fjgEDBtQ4EIgpocKhGBx9mSI0NBShoaGcNIZh0KxZM+zbt69aQTsMaY8hocKhGAz9C7p3715cvHgRx44dY9MYhoGrqyv8/f3x9ttvw8XFpc5sotXRFJOj1Wrx7NkzKBQKNs61/m9WVhaio6Pxxx9/cAaYMQyDjz76CEuXLoWHh0ed20w9DsWkaDQazJw5E9HR0WUGi2m1WhQWFqK4uLjMcT4+PoiKiqp25ND6ABUOpdqkpaVhw4YNAMDxKJXRrFkzBAcHNyjRADSuGuUlsLOzg5eXFzu9R3X6jw0fPhytW7euA+sqxhhZNSocSrWxtrbGr7/+ihUrVqBJkyZVToP+zjvvYNq0abXqoGkIaOUAxaQUFBTg6NGjiIiIQFJSUqVfcoZhMHHiRLz55pt1aGHdQYVDqRJCCC5fvoy1a9ciOjq6wv0YhmHF1LFjR3zxxRd1ZWKF6GdKMDRUOJRKUavVWL9+Pb777js8efKkTDrDMPDw8GCnV9RvCwoKMuvezbWFCodSLoQQ3Lp1C7Nnz2anBiwJwzBwc3NDQEAAxGIxgoKC2LQhQ4agb9++dW1ynUKFQylDdnY2oqKiEBYWhszMzDLp1tbWGDBgAIKCgvDaa6/B19cXcrkcAODo6Igvv/zSbKufaeUAxeAQQnDmzBl8++23nO4yehiGQadOnTBnzhwMHz4cAoEAx44dw/Hjx9l9Bg0ahG7dutWl2ZVS3WkSXxYqHAoIIVAoFFixYgV+/vlnNrK/HoZhYGtri8DAQPj7+8PV1ZVNc3R0RPPmzZGcnIwWLVpg2rRpLx3rrC6hHodiEPQDzBYvXoy//vqrTLpYLMaAAQPw9ddfo127dmXSO3bsiC1btuDQoUMYNGgQ3nvvvbow2+RQ4byiEELw7Nkz/PzzzwgLCyvTx0w/lHnq1Knw8/Or8EvNMAx69uyJnj171oXZNYJ28qQYBH3gv6VLl+LKlSucNIZhYG9vj4CAAIwfPx7Nmzc3kZXmDRXOK4R+BrOgoCDs3r2bE/gPACwsLNCvXz98++235WbL6iM0WAelVqhUKuzduxfBwcF48OABJ41hGLRt2xZz587FuHHjTGRh3UArByjVQt+Q+d///hfbt2/npDEMA6lUiunTp2Py5MmvRLaMVkdTqkSn0+GHH37A2rVrkZSUxEljGAYDBgzAokWL6l2EmdpAPQ6lQgghiI+Px9y5cxEXF8fp5MgwDF5//XUsXLgQY8eOrXTaP0rFUOE0MJ49e4Zt27Zh6dKlUCqVnDSpVIpPPvkEISEhaNKkiYksrHto5QClQgghuHHjBmbOnImzZ89y0hiGgZeXFxYvXgxvb28TWdiwoMJpIERGRiIkJKTM9OQMw2DFihXw9/eHk5OTiaxreFDh1HMIIbh06RK2bNlSRjQikQj9+/fHmDFjqGgMDBVOPYUQguzsbGzcuBFr167ldMxkGAbt2rXDrFmz4O/vb0IrzQ9aq/YKo++Y+c033yAuLo6TZmtri2nTpmH8+PENdrz/y0Anz6WAEILc3FyEhYVh06ZNyM7OZtMYhkHnzp0RFhYGLy8vg31ZGxo8nmECO1Hh1BMIITh69CiWLVuG8+fPs9v1Q5g///xzLFiwAFZWVia08tWBCsfM0Xf/X7duHdavX8/pmMkwDLy9vbFgwQL06NHDhFbWH2hW7RWAEIKDBw8iODgY8fHx7HZ9H7OQkBCMGTMGjo6OJrSyfkErBxowhBA8f/4coaGhiIqKQlFREZvG5/MxYMAALF261CAzMjd06LCCVwStVouYmBh8++23SEhIYLfr+5hNmzYNU6dOhaWlpQmtpFDhmAmEEDx69AghISGIiYmBQqFg0xiGwaeffop58+ahY8eOJrSSoocKxwxQq9XYuXMnVq5ciTt37rDb9dP+BQcHY+TIkQ06MqYxaVBZNX3Lt6OjY4Nrc2AYBjweD4QQ8Hi8Cu+PEIK7d+8iNDS0zCAza2treHt7IywsDC1btqwLsykvgUmEk5OTg4iICMTFxaFz586YMGECmjZt2mAEVFRUBKVSCUIINBoNVCoVJ93CwgJKpRJbt27Ff//7XyQmJrJpDMPg7bffxvz58zFmzBgIBDRTYI6Y5Fe5cOECgoKC2Ea9P//8E9OnT8fYsWMN1rJrKggh2L17Ny5dusRO3JqWlsam8/l83LhxAyEhITh48CBHVAzDYPLkyZg9ezbeeustU5jf4DBGNg0wkXAkEgn4fD40Gg0A4MqVK5gyZQp27dqFb7/9Fu3bt693AtLfCwCkpKQgJSWl3P1u3boFb29vpKens9sYhkHr1q3x1VdfYejQoRAKhUa3l1I7qv126uvDDbF0794dERERnBoipVKJI0eOoHfv3ggODkZiYqLR6uANjYODA1xcXMAwTLmLQCBgs6H379/niMba2hpffPEFDh8+DF9fXyoaI2CyyoF79+4hKSmJ9QL6F0L/vx4ej4enT59CLpeDz+ezheTSLxKPx4OVlRU+/PBD5Ofnc8IVyWQyLF++HIcOHYK3tzf69u0LsVjMma++oqnpStpVm7SS6VWl6e/7iy++wJEjR6DVajnpRUVFiI+PR05ODjQaDfsjMgwDT09PzJs3Dz4+PpU9fooZUi3hhIaG4sCBA5xt5RXkeTwe8vPzoVary7xc5f0ViUQVfg2uX7+O69evY9OmTRCJRBXWTlVHECVFV9FxVZ23vLSS5xWJRFCpVJzAGDqdDgqFAjKZjM3K8fl82NnZYezYsQgMDISbm1uFNlDMl2oJJyUlBbm5udU+aXVdY+lgEuVRsut8faSkh3n33XfxzTffwNvbm7b81xEmrRwYMGAAGjVqxIYSqmxgUHZ2NhQKBVs+0el0nPKN/ous0+kgEomQkpJSJuYX8K/n+PDDD2FnZ8f5+ld0ff019N6g5P8l963s+Mr2YxiG41Gq2p/H4+Hy5cuQy+UICAhAQEAAmjVrVuZeKXVHnXbynD17NrRabZUvHsMwUCgUbOT78oSjfwGLi4uxbdu2cidj5fF4GD58OPz8/NC1a1dYWlqW+8KWpDIxV7Ze2bmquo5+vWSDZ8ntfD4fd+/ehUKhaPBT+5kzJu05UN256u3s7KrcJzs7G/Pnz8eBAwfKjC9p3749goOD4e3tXW8GZRUVFeHUqVPIy8sr4xmFQiEYhsHOnTuh0+nw+uuvo0uXLtV+nhTzxCTtOHFxcfjll1/YdYZh4O7ujnHjxmHWrFn1qk+WSqXCrFmzEBkZWWWFg57o6Gj4+vrWgXUUY2ES4VhbW8Pa2hoKhQJWVlaYNGkSxo8fj/bt25vCnFqRmZmJhIQETgNoVcTExFDh1BENajxOt27dEBMTg2vXrsGra1d0/aALwOODAKhvvdV0Oh2nlwPDMLCwsCiTZSs541nJ8hqlfmIS4YjFYnh7e78Ix1qUjK1f+WHD33YIiVqFfs3Nc5rv6vLJJ59g4sSJAP6tWcvLy8PEiRORl5cHwHA1OxTTYdqut7pC/PV7DJ5J3kV70WVcScqo98JxdnaGu7s7m0XQC0cqlbLCodR/TCocQrRw6eiLoFHNcMslHJelqJfZtZKUroIHwK5TTI+hvL1JuyAzfBu0fKsZoEvBxfvZsBaL67VoKOaJMT5apu+7T1T466dghPx+E3ZWNqa2hkKpFiYWDsGTY2sRsvk4bNq9j9ctaZd6Sv3ApGWcwvv7MHfJDrQcNhP9Xd6EkEeHCVMMS+l2nHpfxtHmXMTiGV8hr8dirBjdEWKhEHwrPkA0UKt1oGVpijljEuGQoqeIWLAQZyS++HHZcFjJs/E8PQ15uen4a8/3WLH5AB5mqqo+EYViIupeOOpc7P/vbGy63wLL18xFKxEACx7uHfgOkybNw/FbcjxOiMPDHNq6TjFf6r5QwRejw9BAbB3XCu1avOjMKWjZA7Nmz8YtnTuGvifBlsjfQfNqFHOm7oXDs8Rr777P3WbhgC5Dx6MLAGRehVpLRUMxDMbq5Gn6dpwyMODz+eDxaFMoxXwxO+EUZj1D4sOHSE6rfowDc6KiEFGUhoXZNZyolEVQqVTVCuRhjqjVaqjVak4nT7VaTYcSNDDMTjh2HiMQtfvTevuVPn78OHJzc8Hn89l4BEqlssLInhTjo1Qq2fep5Lio2mB2wgHq13iV0gXPpKSkcqP2VHYMxXi4ublhypQpePr0KRiGMdhcqWYpnPqEtbX1S88o4OzsbCRrKKWxt7dHYGCgwc9LhVNLHBwcsGDBAshkMhQUFFTqLQkhaNGiBRYuXFiHFlKMAUNovoFCeWnMrjqaQqkPUOFQKDWACodCqQFUOBRKDaDCoVBqABUOhVID/h8aorG4m87JtgAAAABJRU5ErkJggg==)
physics-General
physics-
In Young’s double slit experiment
are two slits Films of thickness
and refractive indices
are placed in front of
respectively If
, then the central maximum will
![](data:image/png;base64,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)
In Young’s double slit experiment
are two slits Films of thickness
and refractive indices
are placed in front of
respectively If
, then the central maximum will
![](data:image/png;base64,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)
physics-General
chemistry-
Actual graph for the given parameters. For the non-zero volume of the molecules, real gas equation for
mol of the gas will be
![](data:image/png;base64,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)
Actual graph for the given parameters. For the non-zero volume of the molecules, real gas equation for
mol of the gas will be
![](data:image/png;base64,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)
chemistry-General
chemistry-
For 1 mol of an ideal gas,
in Fig.
I)
in Fig.
II)
in Fig.
III) and
in Fig.
IV) then which curves are correct
I) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAAB3CAYAAAAXfP4YAAAV+ElEQVR4nO2d6VNTWfrHP0kISxLCIvsWFjcWlVZRcENGbbtpp3Xa6ba6uqaqq+2qsWrm75g/YV7N9mamZqZresqxe8ZdVDAoiGgLuAVZRHZIQhJyk9yb34uuc38guyQQbL5VvhBuuPee7znP8n2ec6IJBoNB1hER0K72A6zj/7FORgRhnYwIwjoZEYR1MiII62REENbJiCCskxFBCAkZsiwTCARYzx+Xh5CQ4fP5GB4eXidkmQgJGS6Xiz/+8Y+MjIysk7EMhIQMSZLo7u5GkqR1MpaBkDnwdRKWj6jVfoClIBgMoigKwWCQYDCIVqtFo9EAoCgKADqdTv3ZWsOaI8Pv9+P3+5Flmbi4OHQ6nRrNaTQaYmJippG0lrCmyJBlmZcvX3Ljxg3sdjsfffQRGzdupK+vj2vXrpGfn8+BAwcwmUyr/ahvhTVFhkajITExkd7eXtxuN6mpqdPMVEFBATExMav8lG+PNUdGTEwMPp+PvLw8DAYDsizT1dXFyZMnycjIWNM+Y03JIcFgEEmScDqdFBQU4PP5sNlsbNq0ifT0dHQ6HfDjKhGOfi1hzZExMTGB1+slPT2d0dFRoqKi1BUhrnE6nbx+/XrN5T1rjgy73c7k5CQmk4mxsTGysrKIjY1Fq9Wq17S3t/PXv/4Vh8OxTkY4Ybfb0el02Gw2LBYLCQkJqo/QaDRotVqys7Pp7e3F5/OtkxEuaDQafD4fSUlJFBUVsWHDBnVFTL0mLi5uTTrxNRVNabVaUlJSOH36NFu3biU6OnpNDvpcWHNkFBcXo9Vq5yRCSCVT/735OyGdaDSaaXmKMHOrRfCaIkOj0ZCQkDDvNcFgkEAgAPyYsb/5O0mScLlcKIqC0WgkJiYGWZZxuVxotVrMZvOq5SprioyFIGb+6OgoFosFr9errgL4cfYPDQ1x+fJlXC4Xx44do7CwkIGBAa5cuYLFYqG6unrVVseaJkOYoKnRlEajITs7m88++4zExEQ1/xAwm82Mj49jt9vZsGEDAF6vF7PZTFFREXq9ft1MLRWKoqhKbVRUlDqAWq2W5ORkkpOTZwyqkFMCgQCJiYmYzWZkWWZiYoIDBw6Qnp5OVFTUqoXDayq0FVAUBb/fT1tbG21tbTMGb6pjngrhvD0eDwkJCfj9fnp6eoiPjyctLU0lQlEUZFlecVIWTcabkclqIhAIMDExwc2bNxkeHl7054LBILIs43a7MRqN9PX1qaKjXq8HfmyueP36NV1dXTidTnw+X7heYwYWRcZU4S0SCPH5fDx//pz+/n7y8/MX/TkRaTkcDiRJwm63U1hYiNFoRKvVIssyr1+/5sKFC/zlL3+hrq4OSZLC+CbTsSgy3G43nZ2dPHjwAK/XG+5nmheKojA5Ocn58+cpKysjKytr0Q5XVArHxsbw+XxYLBaMRuM0fyNJEtXV1ezZs4d//OMfM8LjcGJeMsRMGhsb489//jN/+MMfePXq1aqtjmAwqMrmNpuNyspKYmJilhT9TExMYDKZ2Lx5M8nJydOiLY1GQ05ODoWFhZSVlU0jaiUwbzSlKAo+n4/W1lb+/e9/o9frqaysJD8/f1oEs1JQFIWJiQnq6uo4fPgwGRkZREUtPiAUOtapU6d47733ZhCp1WoxGo1IksTAwABnzpwhOjo65O8xF+Z9k2AwiNvtxmq1UlBQgMfjob29nfHxcVJSUlaUDLFKnz9/zsDAAJ9//vmSB0qn05GZmUl6ejoGg2GGyCjC5b6+PgKBAOXl5Wg0GoLB4Iq864LTSpZlNm3aRHZ2Nh0dHezevXtVkiJFUfB6vbS0tFBSUqLmBIuFCFWFovsmEeIeQ0NDPH78mISEBHp6ela0rj6vz9DpdCQnJ3P06FHy8/PJzc3l8OHDJCUlrTghfr+fwcFBBgYG2L59O9HR0bMO6GwIBoNMTk7S0dGh6lKzQVEU+vv7GRwc5OXLl7S3t4fyFRbEvFNLo9Gg1+sxm83o9Xr0ej1Go3FJMzJU8Hq9PHr0iMTERPLz8xdNhDA9z54948qVK3z11VcYjcZZr9XpdBQWFpKRkYGiKOh0umlOfKoSPDWxnK2p7m2w4KhOvelqmCeREbtcLhoaGjhx4gSJiYmL/nwgEGB0dJRr166xYcOGeQtPwhIkJyerP5t6rSzLeL1eAoEAOp0Og8GgBjmyLBMTE7OsGkvEa1OKoiBJEi0tLSiKQllZmZotL+azLpeLS5cuoSgKhw4dmlYvnw3zDaTH4+HevXu8ePGCkpISdu7ciSRJ3L17F0mS2LVrFzk5OQv+nbkQ8dqULMuMjIxw9epVfvazn5GQkDBDiZ0NIjlsbW3l/v37VFdXk5OTs6xahUajwW63Y7VaVXOtKAo9PT3ExcURFxenXvc2WPTKWA1TJcLZpqYmNBoNVVVVi/JX4nM2m43z589TU1NDaWnpsmvjUVFRGAwGkpKSSE1NJSoqiuHhYcrLyykrK1tw1S2ERX1S2EeTybSsmy0Vsixjt9u5f/8+x44dIyEhYVH39/v9DA0NcfXqVbZs2UJ1dTWxsbHLnkiiJys+Ph6A4eFhJEli8+bNKhFTO+WXikWtDL1eT15eHkajcVEmIlSQJAmbzYZGo1F9xXxkiKhmcnISq9WKJEnU1taSmJgYkkkkREZRBxkeHiY9PR2TyYROp0NRFNxuN06nE7PZrHbJL3YSLOoJY2JiyMnJYfv27StKhsvl4tGjR5SUlJCcnLzggArz9PTpU27fvs3BgwfJy8sLWU3b7/fjcDhITEzEZrNhMBhISUlRq4MTExM0NDTwt7/9jRs3bswo+y6EOd9uapFFKJcr5S/EoA4PD9Pd3c2OHTuIjY1d8DN+v5/Ozk6++eYbKioqKCsrC2n2LEkSY2NjeDwetFotFotlRpk2PT2drVu30tbWhsfjWZK5mtNMybKM0+nE4XCg1+vVLgqj0ajqOuEiR5ZlJicnuXPnDmlpaeTl5S3ouIW6/N///pe0tDRqampCblYDgQCSJGE0Gtm6desMP2Q0GikoKFCfBZa2vW7ON/T7/bx69Yrvv/+evLw8iouLGRwcRJZl9u3bt+gQ820gyqFNTU189dVXxMXFLWiiXC4XVqsVh8PBF198Ma0ZOlSIioqitLSU/fv3z2o2dTodkiTR1NSEy+XC4/EsKUGd10zFxcXR2dlJdHQ0OTk5mM1m6uvrefLkSdiKLiKjvXbtGrm5uZSUlMw7qCIp7OrqoqmpiSNHjpCdnb0sPyHMpMvlwul04vf7CQaDJCQk8MEHH1BQUDBn4hkbG0tFRQUej4fBwcElrYw5yZh66kFubi4mkwmDwcDk5CTj4+NhKzDJsszAwAAPHz7ko48+wmAwzDmowk8MDAzwv//9j6KiIrZt27asMFYQMT4+zu3bt7lz5w5+vx8Ag8FAVlYWMTExs04Qr9eL3+/HYrGwZcuWeZ99Nsxppnw+Hz09PepDjI+P8+LFC+Li4igoKAiLiRL1k4cPH1JQUEBBQcG8RSxFUbDb7Xz77bfodDqOHDmyrFxIENHT08OdO3fo7+/nyJEjqr+aq+tEYGRkhO7ubrUx22KxLGmc5iRD6EFJSUm4XC5cLheBQIAPP/wQi8USluRPURSGh4d5+vQpBw8enHeGC93p3r17dHd38/XXX5OZmflWFUgROfp8Prq7u6mrqwOgtrYWi8Wy6L+ZlJSEoihER0eTn5+/5Ix8BhlTE6cHDx5w6tQpUlNT0Wq1bNy4kcTExLB03Ykw+sWLFyiKonaZzwbRcvPs2TPu3btHbW2tWgR6WyImJyd5/vw5Fy9eJDU1lZqaGjVHWeyAmkwmTCbTDIl9sZhBhtD/e3t7cTgcVFRUqCshnF3awmE+evSIrVu3kpSUNOcS9/l8jIyMcPv2bQoKCqioqHgrIsR97XY7TU1NdHR0sGnTJiorK0lNTV0SEbB8/W4aGVP7iu7evTtNEAu3JuXz+Xj69CnDw8OcOnVq1rqAmMVut5tLly4hSRL79+8nPj5+yT5MTLrR0VHq6+t59eoVu3btorS0lISEhFXpuZ0xwj6fj5cvX+JwONi6dSsTExNhf4hgMIjX6+Wbb76hrKyM3NzcOdszfT4fLS0tXLp0iffff39BJz/X/UTU9q9//YsnT55w+PBh9uzZQ0pKyqptwplhpoQO9cUXX6DVaqftmQsHxJ6JFy9e8Pr1a37zm9/M6itEGNve3s7Nmzf5/PPP2bx585JKwMIfulwunj9/zp07d4iJieH06dNYLJZV3wk17U1EzTsjI4OMjAyAsO9VUBQFp9PJ3bt3OXToEGlpabOaHL/fz8jICLdu3SI3N3dRVbupECbY4/HQ2trKw4cPSUtLo6qqioyMjAUV4ZXAjGml0WhWVJmVZRmbzcbAwABnz56d01dMTk7S0NCA2+2mtrZ20bWNqfex2+1cv34dm81GeXk5e/fuxWw2r0pD3mxY1Rq4KPC3tbVhsVhm7RCUZRlJkmhvb6exsZFPPvlELZ8uBmL7QF9fH1arla6uLmpqaigpKVHrEJFABKwyGX6/n9HRUbq6ujh+/PgM+WCqLP79999TXl7Otm3b1FrzfBCRl9Ct6uvrURSFEydOsHHjxkWJjyuNVSXD6/XS2tqK0WikqKhoxuDIsjxNFj9+/Ljavr8QhKN+9OgR9fX15OXlUVVVRXZ2dkT4h9mwKmRMzReuXr3KL37xC5KSkmZc43K5aGpqYmJigk8//XRG1/hcf9vv9+Nyubh79y737t2jrKyMQ4cOYTabVz1img+rRobIFwKBANu3b59WkZvaBShk8bS0tAX7paZWCK1WK52dnezfv5+9e/cSFxe3Kp2QS8GqPF0gEGBoaIj6+no+/PBDzGbztNnq8/no7e1VZfHy8vIFy6fCP9hsNu7cuYMkSRw5coTNmzfP2nEeiVhxMoQZaW1tRafTUVVVpUY0U+WY7777TpXF55M7pm6afPbsGTdv3sRkMnH8+HFycnLmrD1EIlacDLHh5f79+1RWVs4QBCcnJ2lqaqKzs5Pf/va3ZGVlzRt+CiKam5tpbGwkLy+P999/Xy2LRqp/mA0rTobX66WrqwtFUSguLlYTLuEnnjx5woMHD/j444/JycmZc0CF3xkeHqaxsZHu7m7ee+89du/ejdlsXnNEwAqTIQTBR48eUVRUpNZJhOkaHR2lrq6O7Oxsdu3apR6L+iZESfjVq1c0NDQwODjIoUOH2Lx585olAlaw8VnY9tHRUR4/fszu3bsxGAzq71wuF9999x1Op5OamppZj5oQ1/r9fl6+fMn58+cZGRnh008/ZceOHWrHylokAlZwZYheqLq6OjIyMtRypiif3r9/nwcPHqjl0zcrZUL2djqdtLe3Y7VaSU9P5+DBgxEj9C0XK0aGqB42NDRw7tw5dVX4/X6eP3+O1Wrlgw8+YMuWLTOqdlM7NkRFrqioiKqqKlJSUiJG6FsuVoQMUbO4du0aGzdupKSkBK1Wqw7w9evXycrKmrVbXKyIwcFB6urq6O3tpbq6WtWo1rJZehNhJ0PY+KGhIdrb2zl37hyxsbGqnxCy+Mcff6yqqAJC1e3u7qahoYHx8XFqa2spLCwMe4vpamBFVobX6+Xx48dkZmaqfbM+n4+HDx9y8+ZNzpw5Q25uripXiIqcx+Oho6OD+vp64uPjOXXqVERU5MKFsJOhKAojIyM8efJEPV5C+InLly9z4MABtm3bNk3uEI66ubmZlpYWiouL2bt3L8nJye+Mf5gNYSVDJHI9PT14PB5KS0uBH8+mvXz5MllZWRw7dkw1OSKRGxsbo7GxkcbGRo4dO6aGwat5StpKIKxkyLKMx+Ohvr6ejRs3kpaWhtvt5t69ezgcDn71q1+pSRqgEtfQ0EBPTw+//OUvKS0tXfZeubWCsL6hJEl0dHQwMDDAnj17VFncarVy5MgRsrKy1BUxMTHB48ePuXjxIoFAgM8++4zS0tK3bk5biwjbyhAtkxcuXGDXrl2kpqby+vVr/vnPf1JaWsrOnTuJjY1VjzEVRBQXF6uJ3Eo0z0USwkKGSNI6Ozt5+fIlv/71r5EkiW+//Raj0UhtbS1Go5FgMIjD4aC+vp4HDx6wd+9eqqurMRgMEV8ICgfC8sayLONwOGhububQoUNERUXR0tKC3W7nyy+/xGw24/P56O/vp7GxkYGBAY4dOzYtkfspImxkdHV10d/fzyeffEJvby/Nzc1UV1eTnp6Ooih0d3dz+fJlAI4ePUpBQQEmk+kn4x9mQ8jJEOFsW1sbCQkJxMfHc/78eTIzM6msrATgyZMnnD9/HovFwsmTJ4mPj3/nw9bFIORk+Hw+7HY7HR0d7Ny5k6tXryLLMjU1Nbjdbtra2mhpaWHHjh0cPHhQJeKn5KjnQsjIEHv8JEmiublZPXv2hx9+4OzZs0RFRamtlZWVlezZsweTyfSTdNRzIaQjIZqY//73v7N9+3ba2to4ceIEOp2Oixcv4na7OXPmDDk5OT+ZRG4pCBkZolXmhx9+YHR0FKfTSWZmJgaDgStXrmAwGDh9+jSZmZnrRMyBkI2IONjkypUrJCUlMTo6islk4saNG6Snp3Py5Eny8/Mjssc1UhCSlSGKR01NTTx79gyfz8eBAwfo7++npqaG8vJydUvwTz1img8hmaKijn3r1i26u7tJS0tDkiROnjxJRUWFeuDkOhHzIyQrQ7Rr9vf3Yzab2bRpE19++SWFhYWq0Bcph9pHMkJmpsTe571793LgwAG1i+OnKm28DUJCRkxMDBUVFdhsNoLBILdu3XqnGgVWCppgCGyH2+1mfHwch8OBVqtVo6V1MpaGkJARCATUE9tW0y/M9vU8YkIs9bSDlYZGowkNGZEAcf7t0NAQGo0GSZKIjo5Gp9MRCASwWCwz9oFEGiJ3qiwRXq+X+vp6bt68SV9fH7///e+xWq0MDg7ypz/9icHBwSUd3rgaeGdUukAgQFFREfv27WNsbIyJiQl27NhBUVERTqdzSV8HtFp4Z1ZGbGws+fn5JCcnY7PZiI6OxmKxEB8fT1VVVchkGNEhGQ7/+M6sDFETkSQJq9XKpk2bMBqN6PX6Wb+q+m0H0u1209zcTGFhISkpKSHdpvbOkCG+2k10Ip47d27WCEocvedyuZasCogGigsXLtDX18fPf/5z9u3bR1ZWVkhaTt8ZMuDHiEp8G8y2bdtmzFgx+G1tbdy6dUs9lXMpEBtArVYrd+/e5euvv+bs2bOkpaWtkyEg2oMaGxspLi6e1TQJiK8rWqrdFwfK/Oc//yE+Pp7du3dTUVGx7G8fEHhnyBCHebW2tnL06NFZG6TF/1NSUkhMTFxyqBsMBhkfHycjI4Pf/e53bNmyhZSUlEWdZbIYvDNJ39jYGNevX6e9vV09R6q0tHTWGrt45bd5ddEpqdVq0ev1ql8Kxcp4Z8jw+/1IkoTX60Wv1xMbGxuWrhOxkyoch2e+M2S8C3hnkr53AetkRBDWyYggrJMRQVgnI4KwTkYEYZ2MCMI6GRGEdTIiCP8HpnuZqnuZ4WgAAAAASUVORK5CYII=)
II) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/575769/1/1069146/Picture10.png)
III) ![](data:image/png;base64,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)
IV) 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)
For 1 mol of an ideal gas,
in Fig.
I)
in Fig.
II)
in Fig.
III) and
in Fig.
IV) then which curves are correct
I) ![](data:image/png;base64,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)
II) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/575769/1/1069146/Picture10.png)
III) ![](data:image/png;base64,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)
IV) 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)
chemistry-General
chemistry-
Distribution of molecules with velocity is represented by the curve
![](data:image/png;base64,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)
Velocity corresponding to point
is
Distribution of molecules with velocity is represented by the curve
![](data:image/png;base64,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)
Velocity corresponding to point
is
chemistry-General
physics-
Fig., here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20m The separation PQ is 5m, and phase of P is ahead of the phase of Q by 90o A, B and C are three distant points of observation equidistant from the mid-point of PQ The intensity of radiations of A, B, C will bear the ratio
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)
Fig., here shows P and Q as two equally intense coherent sources emitting radiations of wavelength 20m The separation PQ is 5m, and phase of P is ahead of the phase of Q by 90o A, B and C are three distant points of observation equidistant from the mid-point of PQ The intensity of radiations of A, B, C will bear the ratio
![](data:image/png;base64,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)
physics-General
physics-
Two identical narrow slits
are illuminated by light of wavelength
from a point source P If, as shown in the diagram above the light is then allowed to fall on a screen, and if n is a positive integer, the condition for destructive interference at Q is that
![](data:image/png;base64,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)
Two identical narrow slits
are illuminated by light of wavelength
from a point source P If, as shown in the diagram above the light is then allowed to fall on a screen, and if n is a positive integer, the condition for destructive interference at Q is that
![](data:image/png;base64,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)
physics-General
physics-
A ray of light of intensity I is incident on a parallel glass slab at a point A as shown It undergoes partial reflection and refraction At each reflection 25% of incident energy is reflected The rays AB and A’ B’ undergo interference The ratio ![I subscript m a x end subscript divided by I subscript m i n end subscript text is end text](data:image/png;base64,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)
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)
A ray of light of intensity I is incident on a parallel glass slab at a point A as shown It undergoes partial reflection and refraction At each reflection 25% of incident energy is reflected The rays AB and A’ B’ undergo interference The ratio ![I subscript m a x end subscript divided by I subscript m i n end subscript text is end text](data:image/png;base64,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)
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)
physics-General
physics-
A plane polarized beam of intensity I is incident on a polariser with the electric vector inclined at 30o to the optic axis of the polariser passes through an analyzer whose optic axis is inclined at 30o to that of polariser Intensity of light coming out of the analyzer is
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)
A plane polarized beam of intensity I is incident on a polariser with the electric vector inclined at 30o to the optic axis of the polariser passes through an analyzer whose optic axis is inclined at 30o to that of polariser Intensity of light coming out of the analyzer is
![](data:image/png;base64,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)
physics-General
physics-
Fig shows a double slit experiment, P and Q are the two coherent sources The path lengths PY and QY are n
and (n + 1)
respectively where n is whole number and
is wavelength Taking the central bright fringe as zero, what is formed at Y?
![](data:image/png;base64,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)
Fig shows a double slit experiment, P and Q are the two coherent sources The path lengths PY and QY are n
and (n + 1)
respectively where n is whole number and
is wavelength Taking the central bright fringe as zero, what is formed at Y?
![](data:image/png;base64,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)
physics-General