Physics-
General
Easy
Question
The resultant of a system of forces shown in figure is a force of 10 N parallel to given forces through
, where
equals
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905679/1/912154/Picture483.png)
- (2/5)
- (3/5)
- (2/3)
- (1/2)
The correct answer is: (2/3)![R blank Q](data:image/png;base64,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)
Equating the moments about ![R](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4PxA/BeKTQLwNiEWxqGNQAeILaGKtQNyFTXEAEC9FEwsH4vnYFNcDcQmaWCMQF2BTvAqI/ZD4fEB8A4jFsSm+BcSSQMwCxB5AfA6IQ7EpZALiP9CQgGFbBhzAHIj3I/EtcYUCCERi8fVuIJbHpngSEKehiYFMX4hN8Tog9sIivheItdAF3wExBxbFltAoJw0AAKDiG/NA/rdGAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5SPC9taT48L21hdGg+SC/J9gAAAABJRU5ErkJggg==)
![6 cross times P R equals 4 cross times R Q](data:image/png;base64,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)
![P R equals fraction numerator 4 over denominator 6 end fraction R Q equals fraction numerator 2 over denominator 3 end fraction R Q](data:image/png;base64,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)
Related Questions to study
physics-
The time taken by the projectile to reach from
to
is
then the distance
is equal to
![](data:image/png;base64,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)
The time taken by the projectile to reach from
to
is
then the distance
is equal to
![](data:image/png;base64,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)
physics-General
physics-
Two identical discs of same radius
are rotating about their axes in opposite directions with the same constant angular speed
. The discs are in the same horizontal plane. At time
, the points
and
are facing each other as shown in figure. The relative speed between the two points
and
is
as function of times best represented by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486055/1/912010/Picture480.png)
Two identical discs of same radius
are rotating about their axes in opposite directions with the same constant angular speed
. The discs are in the same horizontal plane. At time
, the points
and
are facing each other as shown in figure. The relative speed between the two points
and
is
as function of times best represented by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486055/1/912010/Picture480.png)
physics-General
Physics-
A small body of mass
slides down from the top of a hemisphere of radius
. The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is
![](data:image/png;base64,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)
A small body of mass
slides down from the top of a hemisphere of radius
. The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is
![](data:image/png;base64,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)
Physics-General
Physics-
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position
are
The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905502/1/912003/Picture473.png)
The trajectory of a particle moving in vast maidan is as shown in the figure. The coordinates of a position
are
The coordinates of another point at which the instantaneous velocity is same as the average velocity between the points are
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905502/1/912003/Picture473.png)
Physics-General
physics-
A point mass
is suspended from a light thread of length
fixed at
, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486050/1/911820/Picture463.png)
A point mass
is suspended from a light thread of length
fixed at
, is whirled in a horizontal circle at constant speed as shown. From your point of view, stationary with respect to the mass, the forces on the mass are![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486050/1/911820/Picture463.png)
physics-General
physics-
A particle is projected from a point
with velocity
at an angle of
with horizontal as shown in figure. It strikes the plane
at right angles. The velocity of the particle at the time of collision is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYAAAADRCAMAAADyvJVrAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///+/m76Wtpff375SMlN7e3mNrawAAACEhGXsQWntjEDoZOmtaWqWcnFJaUt7O3pScnOal5kIZY72c5koZEIyc7729vYycxZxjWuZa5uYQ5ubWEOZaEBAZQozO5sXFzlrv5rUxWlqt5rVjMXsxWntjMVrO5lqM5rVa77XvY0rvY0pr3rXeMUreMUparbUZ77WcMUqcMUoZrbUplEqtY0op3uZ7peYxpeaUMeYZMRBrGealY+YpY4zvpbXOY0rOY0pK3rUIlEqMY0oI3uaEY+YIY0pKUkJCQubWnOalnL3v5r1jWubWc+Z75uZac+Yx5ubWMeZaMRAZY4zv5ubWUuZaUggACAgQCBAZGbWttebWvealvbUQKXsQKSlKWoRrzoTvEBnvEBlrjIQpzoStEBmtEBkpjLUQCHsQCAhKWoRKzoTOEBnOEBlKjIQIzoSMEBmMEBkIjKUQWqVjEDo6MXuEe+b3hOb3KXtzeynvpSmtpQjvpQitpSnOpSmMpQjOpQiMpYSMjEJrKb3mtXutc7VrzrXvEErvEEprjLUpzrWtEEqtEEopjOZateYQtealEOYpEBBKKYzOtXtSpUJCEEJrCL3mlHutUrVKzrXOEErOEEpKjLUIzrWMEEqMEEoIjOZalOYQlOaEEOYIEBBKCIzOlHtShLVrpbUxKbWtcynv5imt5nsxKSlrWlrvtVqttYRr74TvMRnvMRlrrYQp74StMRmtMRkprYTvcxnvcxlr74QppRmtcxkp77VKpbWMcwjv5git5lrOtVqMtYTOcxnOcxlK74QIpRmMcxkI77VrhLUxCLWtUinO5imM5nsxCAhrWlrvlFqtlIRK74TOMRnOMRlKrYQI74SMMRmMMRkIrYTvUhnvUhlrzoQphBmtUhkpzrVKhLWMUgjO5giM5lrOlFqMlITOUhnOUhlKzoQIhBmMUhkIzsUQWsVjEHNza72UnL3F772UvXtzpb3FnHuMWub3zikIEEpra3NzUr2tnPfm3t737+b3///3/wAAAAzcf8oAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAPMklEQVR4Xu2d25LbqNaADYhDVWSaK+66eBvzBjJ6D1zFLU/sG1c5+3e66weEz3YmU2PrEPF1djdRO3skBOvEWrAoFAqFQqFQKBQKhUKhUCgUCoVCoVAoFAqFQqFQGAAFvRNqsQAY5CuF/gBw49yWuI0TEOZrhf5QW7vyEmPpGOUf+WKhL5DUximA0GJx8EbjfLnQF9Ayd+z1D8tzq9AXStOf51FPXG4UegKTRsvcDkCRG4WegA29HPT4kBuFfgCE2osJUOgbxWld7J4BgcxUxfUdkKVhRe0OSWX2bW4WhiCIoDIDhiS4YduzEkbgK7cKfVFRc4p/IqWKG9A3qqY2vwEsYFkM6B9VGxuXAYQXS4nyxUKPYK+ZrkmtRRn+wwCwklLiIn6GpHR+oVAoFAqFwqwBKHw9+5Y/U3gbqtb26dfqLWu3WJQVyTOQad5R/8yNc4u84wXgrVa5WVgAuOp5eQr4xpYXcALAyxypHgDC0pIMegZA3mtyOIKaGlfCQCeCCOr1BUhOqYXFuDrRsw6I/U9XRQWcQb3OAEya8AL4/CQQkHnQqZ26fvr7GfDG3sHEhP6nJP91NgBJ+FbGjkVe++sOvpkBADpCqjfZRQeX+n89t3qAg3Q2WB5R8X3YRlwrQLDkFzMg2IhmTalOb+vV4K7/TxkRs6EVsLWUBNv7e/fJbkb3lRWEhNabahX66A1zAPmu/xsyNx2sFJDWxJH/q75TgFc6ADuvEIgj9VTB9TKAZ6n/aePnZoSiBXI0ef+KXZWmRK50gBIpSw3Xr7cUAfzR9T9tZpgYii2tYwamMJ1suQgzX+oAcMh5msK8OlwWAxAZ06ffMRKkWVfhB64b3nWskkcRc6UDjmmykL06WqM4XXcqgNpdvjYfwCaNaCAY9ekCwuQoiB96wsJsXyynd3FPgqQEGjK/unj5g0YjVDl2kr+izkmBjzzhQ6VfbSkChYHYG80ou3FE5oCn69ChYEc++dG8BIJ3tv6jGdDy6g0p44hTDjn98ep3O36QW69wjEZs9ufCCFx1q11XOqADeK3eUDQBGZPflWGvtq/Gj1qtxQJDqYhZKnUU7mrrYlfEGXAj7yG5vfIKgKbke6FqPr96jJ1dOwnhQbLG787p+IpsQl/c6QCk3DvC9UB2tZG4nZ8KUCtGfOhUaK2/jIVCEhTxrQ5AePOWLsKazncdTFbLj+8obcRVLBoJDu9mAIbw5VGICDTnurD5Abp+/74ZgqCq5eIqGro4tDkQ+uLaievKyEIGO7JrL2cA2BCIVbuDboNfqgiC9fOGAOv0CW/An2cAwr4xpNb205o6X3sNs9YAv0U6bc8iCNp1Y4xZ7zV5qcBG3pRcrMcAYdm5r3HbSthC2arXagBs78LghQzwp/DE2wCiKTs0PQXIt7um0QPMzXnyDybl2zfLEDM3gSDPyzADIe2sJ4ASuhk2G9l3C9LzBEPSDPv8KJpAc/UBkNqyNU3LYYMBfDPbghjldcyFjSlZwzFfH0BBvo+r4GyZLwwCEDPdpRVL0mWimWEngJznDn0AO5bTcIY1wZFfz7EcA/tO+sT+HzYTE7JmfuswwfTMebCBlfrOlweBzLEiEurc+QEWUxIHAynGbuoR5kCwPlksswg0w2pgECbADH0wdFAfder/gTVwNIEGnYHDoayJVpB5fZ3FvwG7ZjU/DRAAwfbgVVDEAytAaNaDOoFD8b37pBxjTdnA26JumnmWZAtGa5WqYn7lK8MAmZnjngRf/xfGfxh4v9x94n+/BBNofom4Sf6H8R8aclgXDEnGlm9f7RwfkKXxPzyAN3zQETAMnfwfAy1jd6U3fz+jGf8LzAdeCBqCk/wfAaKZ4QSI/tdI+h+TgcNQQxDk/1j6f+HNfiy30hffQf6PRf4EE2h222IBMR75E5TR3sqZ+QAj0r/BC9eUzywIEcb/z9H0P4Lmc147ckT5Pxr5E0ygFd3OSgOMyf4PoKqZWTr6iOz/CObree2IEu3/Me3B4+a1O/rI5H+YAHrYdOyeifb/iOR/uCFv7JyCECOT/2EC2FltTRzk/7j2QY0TYEYaYDky+R8zkpr5aIDRyf84AWZUkRfsnxHFHzqUnZEPIPYjk/8BR+1ctgUdnf0fwXY9Fw0Q5f/PsQ024NZzqcf4GtP61wll897Ifz9B/v/8GNtkx4TOZFfQUa3/npGsEbNYiARivx6d/I8aYFxR2bcBIFvXpy2Ix4NkM9kadEz5P5fMpCQ1yv8xnkOEFEsHBf3tAGHGeQ4UCCbQHPp/nPZPQLHGz6AeYJz2T0CRpv77NUCK/4zO/0rI/frv35ZmtPI/OsFr/tdPgM7+z38ZGdDMoB4jxX9ye2QAPnRR8vuJ8c+Ryv84N9k7Dv4ZEyn+M1Ypi/W/SkUBWMrXbs/+fqL9/4eRLhzo+eliTXZu3vKFjvdyaiykJ9y95czo9xHXf/9I/gDJmeWw16dTnLonYWgsYQ4bYtjmU1EEd0uh7aQW7x/WXyt4GukSiqUQcVBBTRzRturz6WDzOAyKWqK7of518Cvn4rFZC/TBtQRAsAmdbB7Xf+/tf0xOZ+ApziI+XOQxLQd+9nlmLCaPD+DG3jLt0gwAnmkBax1mJhA27qQL/HQ21EUP8w+B3x/3AwovyDSmiUegel2F50XO9Jif+eSEJOAMq/LJ0d0BxYqHUQ+cTevG0JA+Z+l/Icn/3D4j2fp4+gtcuXYplvGQZt75Q0vD02/6IPoAD7oSb9fsqGixTccYLkTodLTpBgfcT2UGPJT/C0Xs+rPTtWizP4VhiElbxcMf/e1UEp3gLAovCLPy8+Qbt/mI9I+YuCsNiwJLdO9k9KT4z72EPYjaWdZtSAUt1T4PtiWLOgBs+tus6UM/FOY7u4cIdHYP8KaLlOJ4lgbYshpKsfX3o2qEBPn/MP4DPQze5zI9nzcmblGcpFQQvEThne5tu0QkzENzZtOspBJeRBWMXdPJ+7hoE/9qNO/vDv8bPtg/D+4UOxFcs8/05N/Sb3VDTbdOjMPE+Fz53tJz5OPjAdSK6o3YBDMo3KPiOWX9kF5AcA6WSWFNgCD/H+3+fvAbHHdESjoAfSOshKXUpV7Hy81W9Pd04nE6OmRmI+VHuC0rY8r05QwITCR7KMZ/9Nafz2DOgPanXKBleAFnTduGRx0gIKyenJAUTNAkEiELg1+FWdIpA0Jfe0ble+nyb7Hb3r4BVUWzY/d5ZUdIRje52SMujHDwYL4Ruk9XgaMaH3ieAUEEreLPiRDGf7T/seuO3z9xgPEs8m/BflxqP+DW/dn+R7A2DroH+pTTZGvGM6y0+kWyDsA6i6BJkOz/eN+4IvBSqbacb0Tla2P40fqMKKZzqzeCx20VFjW5UzqOmu5SOkKmyueoYGsmE3+4XP/FG95eqC3IaxKwtLH1hXRSuvfy0Cjcww9JyOVIiAQbubt5EdPl4LrbxFtN50zDKP/Pq9xBD1yYGhgrpT6UY8xJcH4x0vXtWkYfIN0XgLqGV0dwY25iUCpq4+CaH0MRMDtkEyDL/yOK30xdlJYB4cW8AL5H47Mj+ADZBALK82tNUBkdB7vi8RArVO2j7Fe1nUb4IcU/r/1fz2/meJzln8kTxh/xyb927s5cfTfVxRFhhyXZXN4xDvaRkMuVThFbQJiDkOiJLMI8yP/B7nbyIrE30Q9AaktEK+ES9j0BlDWXHSq3V3MA15Y7wjtBFO6fO8cn0v+ha9d3shKubg8DaK1NnjDme8Zr3/9W3bclqdD5y7v+UpeDAikBr8fUeBHm0fqL4DeLXHGRNf4ECopW3b6wtwOkzXr2yDcky8NlkAHk5ZgOMI3hn+T/ff+H/l5trp7ga+BUZBR83JsuBcuf068QeBL/D1ru1iEelq9Hh0SiansRnpokQf7T+kqyHvlSfIBYz1MO7sJPOYF8fWetTQtv1o/kTwTwekRR3CcnJH2QSe/Z/R3t/6cP4FbjSQ2NUc6HE7XlYrq12sAH//f5ABL1eA4litm4uXkNrvhUwj13gCf2zxFFxrOO+rwkFU/F3b2nCvb/73r4sBlLEUr0AZ6lXYDNqKy1P+eZ/X+Bf7j8OgCA0KeHRKKP28DhNHhq/1/gf4zjBSBpfnNQPCJTrBYL/X8f/7nFn4OPg4LJb2y1xWKZsqAnRrJ//snGESN5AdD8dlcO5cjULNE/kP8ROI6UelzT+nc9jEajq/4UIPZm+wdyU3QprkMjTF7vfQac2AsI8p9yhQACvwdVFubmcPw6YJ59gOP9nptJhgIEVz6K06+Lq13r4qPnZqode/jRd3P8b8T8PSJEVXlRCf/kq/KVqJkTPjQG/SKaslrEIY6hD3+PkYevrhnXh4AS1bYrUkMy/T5+FHS/T/9KpGZ8hSo0vUirSjJeFXFRtfto1Ye2kzlwqDjjbrslJPypt+R/2wff/xd+6TgP3+PXgH9qa5pPknwtLMKVehO7Evs6NGNWAJKOcMtSjZpMv49PiSCJzZQqHT/a5aar9DTpXcSPhmb8aPx/3ZL3l1gByXNKAVIw0oavXfoZf9x87/6XG+HSIH/iHcLKb6t2FzsNhPveQRW7GsjUjE+DJRS1Tm7CR7hd2KVBq/hP04CLH2275iE0Ydv9q/RcsYlU+C/lf/VWMGdVbv5tfLV8/BtHYGdGYtW/AZCmxagBraUpc2lSAMJrUvMVv08GnRpyw3Ph2pTAtaWUWq2tdZOevgg7L9gUY1aKx0Rn1Oppb1EZ+h8v2aPq2rGDuUn61dEpb9AUfA317adTKX6Bsvske1pjliNKEfh3AOh2C0yaKa5buLVOO2N52r2ISYKJFmq5Wj+sbhs3gJsqJQTb9Sh3T/4jwMauaqIbOorY8r9D2RgIBUtrxrp74D8DhIOylRtDJ+gIQ9tYrrVOYZ9pAnZd0oDcT3Cv92AD/VhpzXLN3RT5ki6FXxfworpkMuAuIVeuxrl//p/QEtftrxnrZ1NjSrQmuV9AGrrtrkwMAK3taqYUp3s4lZKFIyD4LmkxGHA6ySNrsdeGxfRCIGpmDO+9qus/olZNZzgAMsX5G2QnITVx0Y7zPK76+Lyj41Robd4kDVvKJ+jGLxA+4LSJFAo/wQFfFVRNgE3OHQuiyPyti0kjBn2suoRE5X5XxVB4D0B5TSn33jtu7R9kkRVeC1jatDlsQKdEh0K/IIAVxh/qI3wv3V8oFAqFQqFQKDxlsfh/uQ1WD9kJfJ4AAAAASUVORK5CYII=)
A particle is projected from a point
with velocity
at an angle of
with horizontal as shown in figure. It strikes the plane
at right angles. The velocity of the particle at the time of collision is
![](data:image/png;base64,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)
physics-General
chemistry-
Assertion: At constant pressure for the change H2O(s)→H2O(g) work done is negative.
Reason: During phase transition work done is always negative.
Assertion: At constant pressure for the change H2O(s)→H2O(g) work done is negative.
Reason: During phase transition work done is always negative.
chemistry-General
chemistry-
In view of the signs of DG° or the following reactions:
PbO2 +Pb→2PbO,DrG°<0
SnO2 +Sn→2SnO,DrG°>0, which oxidation states are more characteristic for lead and tin?
In view of the signs of DG° or the following reactions:
PbO2 +Pb→2PbO,DrG°<0
SnO2 +Sn→2SnO,DrG°>0, which oxidation states are more characteristic for lead and tin?
chemistry-General
chemistry-
Considerthereaction:4NO2(g) O2(g) →2N2O5(g) ,DH=–111kJ IfN2O5(s)isformedinsteadofN2O5(g)intheabove reaction,theDHvaluewillbe:(given,DHofsublimationfor N2O5is54kJmol )</span
Considerthereaction:4NO2(g) O2(g) →2N2O5(g) ,DH=–111kJ IfN2O5(s)isformedinsteadofN2O5(g)intheabove reaction,theDHvaluewillbe:(given,DHofsublimationfor N2O5is54kJmol )</span
chemistry-General
chemistry-
Thevalueofenthalpychange(DH)forthe reactionC2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) at 27°Cis–1366.5kJmol–1.The valueofinter- nalenergychangefortheabovereactionat this temperaturewillbe-
Thevalueofenthalpychange(DH)forthe reactionC2H5OH(l)+3O2(g)→2CO2(g)+3H2O(l) at 27°Cis–1366.5kJmol–1.The valueofinter- nalenergychangefortheabovereactionat this temperaturewillbe-
chemistry-General
chemistry-
Fromthethermochemicalreactions,C(graphite)+½O2 →CO;DH=–110.5KJ CO+1/2O2 →CO2;DH=–83.2KJ Theheatofreactionof C(graphite)+O2 →CO2is-
Fromthethermochemicalreactions,C(graphite)+½O2 →CO;DH=–110.5KJ CO+1/2O2 →CO2;DH=–83.2KJ Theheatofreactionof C(graphite)+O2 →CO2is-
chemistry-General
chemistry-
TheDH° for CO2(g) ,CO(g) and H2O(g) are –393.5,–110.5and–241.8Kjmol–1respectively the standard enthalpychange (in KJ) for the reactionCO2(g)+H2(g)→CO(g)+H2O(g)is-
TheDH° for CO2(g) ,CO(g) and H2O(g) are –393.5,–110.5and–241.8Kjmol–1respectively the standard enthalpychange (in KJ) for the reactionCO2(g)+H2(g)→CO(g)+H2O(g)is-
chemistry-General
chemistry-
Which of the followingequationsrespresents standardheatofformationofCH4 ?
Which of the followingequationsrespresents standardheatofformationofCH4 ?
chemistry-General
chemistry-
2molesof COaremixedwith 1moleofO2ina containerof1l.Theycompletelytoform2moles ofCO2.Ifthe pressurein the vesselchanges from70atmto40atm,whatwill bethevalue of DU in kJat500K(The gasesdeviateappreciably from idealbehaviour.) 2CO+O2→2CO2;DH=-560kJ/mol, 1Latm=0.1kJ For theprocessH2O(l)(1 bar,373K)→H2O(g) (1bar,373K),thecorrect setofthermodynamic parametersis-
2molesof COaremixedwith 1moleofO2ina containerof1l.Theycompletelytoform2moles ofCO2.Ifthe pressurein the vesselchanges from70atmto40atm,whatwill bethevalue of DU in kJat500K(The gasesdeviateappreciably from idealbehaviour.) 2CO+O2→2CO2;DH=-560kJ/mol, 1Latm=0.1kJ For theprocessH2O(l)(1 bar,373K)→H2O(g) (1bar,373K),thecorrect setofthermodynamic parametersis-
chemistry-General
chemistry-
The conversion A to B is carried out by the following path:
Given: DS(A→C) =50e.u.,DS(C→D) =30 e.u., DS(B→D) =20e.u. Where e.u.is entropy unit then DS(A→B) is
The conversion A to B is carried out by the following path:
Given: DS(A→C) =50e.u.,DS(C→D) =30 e.u., DS(B→D) =20e.u. Where e.u.is entropy unit then DS(A→B) is
chemistry-General