Q. No.The pressure of an ideal gas \(\left(\gamma=\dfrac32\right)\) is increased by \(1\%\) in an adiabatic process. The temperature of the gas:
1.
increases by \(1.5\%\)
2.
decreases by \(1.5\%\)
3.
increases by \(\frac13\%\)
4.
increases by \(\frac23\%\)
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where \(dQ\) is the heat supplied to the gas and \(T\) is the temperature of the gas. The integral is evaluated over the entire cycle. The value of the integral \(I\) is:
| 1. | zero |
| 2. | negative |
| 3. | positive |
| 4. | non-negative(positive or zero) |
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| 1. | the pressure is halved |
| 2. | the pressure decreases by a factor of \(2\sqrt 2\) |
| 3. | the temperature is halved |
| 4. | the temperature decreases by a factor of \(2 \sqrt 2\) |
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| 1. | \(a\)–isothermal, \(b\)–monatomic adiabatic, \(c\)–diatomic adiabatic |
| 2. | \(a\)–monatomic adiabatic, \(b\)–diatomic adiabatic, \(c\)–isothermal |
| 3. | \(a\)–diatomic adiabatic, \(b\)–monatomic adiabatic, \(c\)–isothermal |
| 4. | \(a\)–isothermal, \(b\)–diatomic adiabatic, \(c\)–monatomic adiabatic |
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| 1. | \(\Delta Q=\Delta U+\Delta W\) |
| 2. | \(\Delta U=\Delta Q+\Delta W\) |
| 3. | \(\Delta U=\Delta Q-\Delta W\) |
| 4. | \(\Delta U+\Delta Q+\Delta W=0\) |
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| Statement I: | The efficiency of any thermodynamic engine can approach \(100\%\) if friction and all dissipative processes are reduced. |
| Statement II: | The first law of thermodynamics is applicable only to non-living systems. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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1. \(1\) atm
2. \(0.5\) atm
3. less than \(1\) atm
4. greater than \(1\) atm
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| 1. | work done by the system is \(120\) J. |
| 2. | work done on the system is \(120\) J. |
| 3. | work done by the system is \(80\) J. |
| 4. | work done on the system is \(80\) J. |
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| Statement I: | If an ideal gas expands without any heat being supplied to it, then its temperature does not change. |
| Statement II: | If an ideal gas expands freely without any heat being supplied to it, then its internal energy remains unchanged. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
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| 1. | \(Q_1=Q_2\) | 2. | \(5Q_1=3Q_2\) |
| 3. | \(Q_1=2Q_2\) | 4. | \(Q_2=2Q_1\) |
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