Physics-
General
Easy
Question
ideal gas at 27°C is Compressed adiabatically, to
of its original Volume. If
, then the rise in temperature is
- 225k
- 450 K
- 375 K
- 405 K
The correct answer is: 375 K
Related Questions to study
physics-
An ideal gas is taken through the cycle A
B
C
A as shown in the figure, If the net heat supplied to the gas in the cycle is
, the work done by the gas in the process C
A is
![](data:image/png;base64,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)
An ideal gas is taken through the cycle A
B
C
A as shown in the figure, If the net heat supplied to the gas in the cycle is
, the work done by the gas in the process C
A is
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)
physics-General
physics-
Acyclic Process ABCD is Shown in the P
V diagam. which of the following curves represent the same Represent the same Process?
![](data:image/png;base64,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)
Acyclic Process ABCD is Shown in the P
V diagam. which of the following curves represent the same Represent the same Process?
![](data:image/png;base64,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)
physics-General
physics-
An ideal gas is taken through cyclic process as shown in the figure. The net work done by the gas is
![](data:image/png;base64,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)
An ideal gas is taken through cyclic process as shown in the figure. The net work done by the gas is
![](data:image/png;base64,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)
physics-General
physics-
Figure shows four P
V diagrams which of these curves represent. isothermal and adiabatic processes?
![](data:image/png;base64,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)
Figure shows four P
V diagrams which of these curves represent. isothermal and adiabatic processes?
![](data:image/png;base64,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)
physics-General
physics-
A thermodynamic system goes from States
(i)
to 2P,V
(ii)
to P,2 V. Then what is work done in the two Cases.
A thermodynamic system goes from States
(i)
to 2P,V
(ii)
to P,2 V. Then what is work done in the two Cases.
physics-General
physics-
When a System is taken from State I to State falling the path if, it is found that Q=70 cal and w =30 cal, along the path ibf Q=52c al. W atoug the path if is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOwAAACiCAYAAABCgSEIAAAIn0lEQVR4nO3bf2jT+R3H8Vdywow4N0Nhl6q7Yxx1f3Qgmt39Ub11yuJk4Loq+6Pn6a117I9JRanVHozdgausLe6WRdiYLZ6yyt1c0Wyg51TqajY8ohycgzTI4aSXKHQpaKGeo/nuj1Ztrb+afE3ybp8P8I98W/P9/PF95p1886nHcRxHAEzwFnsBAJ4dwQKGECxgCMEChhAsYAjBAoYQLGAIwQKG5BFsVsPJXh3r2KJyj0ee8X/lWzrUcymtrHtrBDDOk9tOp7tKn9unujXvqPeRP69U/V/+pj/WvsQIB1yUW0+3Lui9Te+oN7BZ+y+mNOo4chxHzmhK8UPNqtYVdf3hrK4yZgFX5RBsVrfiZ3QkHVBob4u2vxp48CTegFb8aK1eDUj69KoGhikWcNOc6f8XrxasblXKaR1/fFfpS2f0r//ckfRfXfzdL9WWlhRwcZUAJOUUrDR2w+nv+v2vmrTr8JVH/0r6qq7duCstmJv76gBMklOw2c+Pa3v1BnWlJSmk5s6f6rWveiX5Vfna/9T57dDYlAXgqhyCHVRvuFVd6cfcCb51zq21AWZl0x/ryHu/0Fttp8cOhDrVf7JeFXl+bTL9YLODuvZJStJKVVV+7aG7VvduSOW3KMC0bEKH3qpRw+kHIQSWvawXXfiOc/pP4S3Ty8vKJV3QkUN9St+7EZxN69L7Lfrhmn2iV8xqwyn1f5qWqvcrfntUjuMo9evVWuDCU+fwlrhM1Y1vq/7IBnXtC6l8nwurAGaQ7I1r+iQt6Vtf0Zfnubt1KKdn8y6q0W97T6l9c+WEoyE1d/5Zx+P/1sX2H0i6oA8uXGOL4nOUyWQUiUSUTCaLvRRIUjahrrXlemFpg05L0ukGLX3BI0/52zp3y50SctyaiFIxMjKixsZGLVy4UHV1dVq2bFmxlzR7ZRPqWrd60mdXSVKgRWcTe7V6Qf7Tlq2+xvl8PoXDYQ0NDWn58uWqqalRLBYr9rJmJ+83Vf9RSqP9nQpJY3eGRx05qVZXYpUIdka4F21DQ4Oi0ahWrVpFuDNUjjudcuf18hpRCNFoVNFotNjLMC+bLa27MNQDGEKwgCEFf0s8Uam93bBsYGBAtbW1isfjCgaD2rNnj9atWyefz1fspZlTyh/bihos3JFMJrVp0yZJ0rFjxwh1BiNY42KxmHbs2MFEnSUI1rBMJqObN2/q/PnzhDpLEKxhfr9ftbW1xV4GCqjgWxMnfqDnphNKUSlfo6V7OwzAFAQLGEKwgCEECxhCsIAhBAsYQrCAIQQLGEKwgCEECxhCsIAhBAsYQrCAIQQLGEKwgCEECxhCsIAhBAsYQrCAIQQLGEKwgCEECxhCsIAhBAsYQrCAIQQLGEKwgCEECxhCsIAhBAsYQrCAIQQLGEKwgCEECxhCsIAhBAsYQrDAE2QymWIvYRKCBZ6gu7u72EuYxOM4jlPIE3q9D14jstlsIU8NPJOJ16gkDQ4Oyu/3F2k1kzFhgQlisdiUY6U0ZZmwwAQ1NTWKRqNTjicSCVVUVBRhRZMxYYFxsVhsSqzBYFCSdPDgwWIsaQomLDCupqZGqVRK8Xj8/rHLly/rwIED6uzsLIkpy4QFNDZdU6mUenp6Jh2fN2+ewuGwGhoaSmLKEiwg6dChQ+rp6dHixYsnHV+yZIl8Pp/C4bCGhoaUTCaLtMIxvCXGrDcwMCBJ92N93DU6MjKivr4+hUKhwi5wAoIFHlLK1yhviQFDCBYwpKjBPmpXCYDHK2iwIyMjkx63t7cX8vSAeQUN9uTJk5MeR6NRpiwwDQW7S5zJZFRWVjbl+Pr163X8+PFCLAF4Jtwl1uP/4oEpCzy7ggSbyWTU2Nh4fyP1PX19fZKkEydOFGIZgHkFCba7u1vBYHDKPs2qqir19fWpo6Oj6Fu+AAuee7CZTEZnzpx55D5N6UG0pbCxGih1c573CeLxuI4ePSqfz/fY36mqqpI0tqfzUVEDGMNeYuAhpXyNsjURMIRgAUMIFjCEYAFDCBYwhGABQwgWMIRgAUMIFjCEYAFDCBYwhGABQwgWMIRgAUMIFjCEYAFDCBYwhGABQwgWMIRgAUMIFjCEYAFDCBYwhGABQwgWMIRgAUMIFjCEYAFDCBYwhGABQwgWMIRgAUMIFjCEYAFDCBYwhGANGxkZUSaTKfYyUEBzir0A5M7n86mzs1OSVFdXJ7/fX+QV4Xljwhq3bds2SVJZWZkikQgTd4bzOI7jFPKEXu+D14hsNlvIU89okUhEjY2NkqRwOMzEzUMpX6MEO4NMjFYi3FyV8jVa1GCBUldqwVIPYAjBAoYU/C0xno+enh5t3LhRktTU1KStW7eqoqKiyKuC21yYsHeU7PqxPJ6gdp8bzP/pMG2RSEQbN25UU1OTEomE2traiLWgBnVud7AgDbBxwrhIJKLr168rkUgQ6SzgQrBzVVH/oZz6/J8J05PJZBQKhQh1FmHCGub3+/mOdZbhMyzgqi+UvnREu79bLo/HI0/5FnX0XFLapa9z+VoHcM0XuvHRPtUFN6utNz12KH1YuzYEteIn7ysxnH+1BAu45ooOt53X19tPqf/2qBxnVLf7T6l9c6XSh1u0/cOk8k2WYAEXBerfVevOtaqY75Xk1fyKtdrZ+q7qA2md/uCfuppnsQQLuGaF3nzjdS16qCrvotf1xpsrpNOndOHqnbzOQLCAa76hpYvnP+Hnn6l/YDivMxAsYAjBAq552gR92gR+OoIFXJPSx5c/08PJZj//h/505JIU+r5WvjI3rzMQLOCatHp3Nejnv4mNb5TIajjZo5ZN29SVrlT9z9bolTyLY2si4JpKbW7+jq7vXKnynROPB1Tdsl97a17Ke0IyYQHXfEkvrm1Rd/ywmqsDY4eqm9V5tld/bf2eAi7Uxh+wA4YwYQFDCBYwhGABQwgWMIRgAUMIFjCEYAFDCBYwhGABQ/4P/HS5IpF4kdwAAAAASUVORK5CYII=)
When a System is taken from State I to State falling the path if, it is found that Q=70 cal and w =30 cal, along the path ibf Q=52c al. W atoug the path if is
![](data:image/png;base64,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)
physics-General
Maths-
If
and
, then ![P space open parentheses A with ‾ on top intersection B close parentheses equals](data:image/png;base64,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)
If
and
, then ![P space open parentheses A with ‾ on top intersection B close parentheses equals](data:image/png;base64,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)
Maths-General
Maths-
If
then ![P space open parentheses A union B union C close parentheses equals](data:image/png;base64,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)
If
then ![P space open parentheses A union B union C close parentheses equals](data:image/png;base64,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)
Maths-General
Maths-
If
, then ![P space left parenthesis A with ‾ on top right parenthesis plus P space left parenthesis B with ‾ on top right parenthesis equals](data:image/png;base64,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)
If
, then ![P space left parenthesis A with ‾ on top right parenthesis plus P space left parenthesis B with ‾ on top right parenthesis equals](data:image/png;base64,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)
Maths-General
physics-
Wafer of volume 2 filter in a container is heated with a coil of 1kw at 27°C. The lid of the containes is open and energy dissipates at the late of
. In how much time temperature will rise from to 27°C 77°C. Specific heat of wafers is ![4.2 fraction numerator K J over denominator K g end fraction](data:image/png;base64,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)
Wafer of volume 2 filter in a container is heated with a coil of 1kw at 27°C. The lid of the containes is open and energy dissipates at the late of
. In how much time temperature will rise from to 27°C 77°C. Specific heat of wafers is ![4.2 fraction numerator K J over denominator K g end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAAmCAYAAACLZrh7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAjRJREFUeNrdmU9ERFEUxq+MjIxIkiRDZjEyEhlJkkiSJO3SMtKiVWIWGa0iLZNIi2QkkrRIu2SkxdAiLVq0SYsk0SJJEq/v6gyv8f6cuaXO7ePHu8+5b+a8+/97SsnRC6gouZcGmyAWEidOCXBRcq8bLDDiRGoEbLnKQ2DSJ27bhoTmQcaVzAAjTrR26O1rWhlx4nUFlkE/I65RejIVNHMNgmtQExInXh0gT9ez4CAg7tiGhMZorSlqkwa/V9yGDQnpsTPlKkfAicdMp+MmbEhoj8aPW3XgHDSVxPWa/oheC5yQmC6wC57AG/2BcYPfegRRj/spGltRmhDuTLc8et90yUgoT/26uM9qAad076dnwUUwZ/qANeqrjkHd+A/utfrAK7gHWdOH6G50RNeO4TNepQzOSnq78W8k1EndToR0P512lctNSA/eArXyn6vV482Wk5DeruwH7MWcX+CLCnR4MkmomZJJSFrcysrepSRYB1U2rOBhLVRP55OIskROQEsq2hUnlUUKS8iki/57ca0rK8S1rqwR17qyRlzrSi8JS+CB9on6yLKiBNpZHOsqQseUDF1rZsC7EmhncayrrM+Y0nUbJCXDta70KbXWo+6ztNbhWFftZJZ41RVnZ3Gsq1GQ86krzs7iWFfDyvtLQ04JtLM41lU1+QltVG6jKfsW9EhLiGNdFVvpRn3aZGc0Iz4oC77gcZVSlnzw8js8rrrWmzTZBElbE4rR5PFMa9YhtVCgPgBD5qajcdmhAAAAAJx0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW4+NC4yPC9tbj48bWZyYWM+PG1yb3c+PG1pPks8L21pPjxtaT5KPC9taT48L21yb3c+PG1yb3c+PG1pPks8L21pPjxtaT5nPC9taT48L21yb3c+PC9tZnJhYz48L21hdGg+G/jFEAAAAABJRU5ErkJggg==)
physics-General
physics-
Starting with the same initial Conditions, an ideal gas expands from Volume
to
in three different ways. The Work done by the gas is
if the process is purely isothermal,
if purely isobasic and
if purely adiabatic Then
![](data:image/png;base64,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)
Starting with the same initial Conditions, an ideal gas expands from Volume
to
in three different ways. The Work done by the gas is
if the process is purely isothermal,
if purely isobasic and
if purely adiabatic Then
![](data:image/png;base64,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)
physics-General
physics-
A given mass of a gas expands from state A to B by three different paths 1,2 and 3 as shown in the figure. If
and
respectively be the work done by the gas along the three paths, then
![](data:image/png;base64,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)
A given mass of a gas expands from state A to B by three different paths 1,2 and 3 as shown in the figure. If
and
respectively be the work done by the gas along the three paths, then
![](data:image/png;base64,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)
physics-General
chemistry-
The enthalpy change at 298K in successive breaking of O–H bonds of water are H2O→H(g)+OH(g);ΔH=498KJmol–1 OH(g)→H(g)+O(g);ΔH=428KJmol–1 the bond enthalpy of O–H bond is-
The enthalpy change at 298K in successive breaking of O–H bonds of water are H2O→H(g)+OH(g);ΔH=498KJmol–1 OH(g)→H(g)+O(g);ΔH=428KJmol–1 the bond enthalpy of O–H bond is-
chemistry-General
chemistry-
The enthalpy change for the reaction H2(g)+C2H4(g)→C2H6(g)is........The bond energies are,H–H=103,C–H=99,C–C=80&C=C=145Kcalmol–1
The enthalpy change for the reaction H2(g)+C2H4(g)→C2H6(g)is........The bond energies are,H–H=103,C–H=99,C–C=80&C=C=145Kcalmol–1
chemistry-General
chemistry-
Heat of neutralisation of oxalic acid is–106.7KJ mol–1using NaOH hence ΔH of-H2C2O4→C2O2–+2H+is
Heat of neutralisation of oxalic acid is–106.7KJ mol–1using NaOH hence ΔH of-H2C2O4→C2O2–+2H+is
chemistry-General