Q. No.An ideal gas is taken reversibly around the cycle \(a\text-b\text-c\text-d\text-a\) as shown on the temperature \((T)\) - entropy \((S)\) diagram.
The most appropriate representation of the above cycle on an internal energy \((U)\) - volume \((V)\) diagram is:
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2. |  |
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4. |  |
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In thermodynamic processes, which of the following statements is not true?
| 1. | In an adiabatic process, the system is insulated from the surroundings. |
| 2. | In an isochoric process, the pressure remains constant. |
| 3. | In an isothermal process, the temperature remains constant. |
| 4. | In an adiabatic process, \(P V^\gamma\) = constant. |
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Match the following:
| Column I | Column II | ||
| \(P\). | Process-I | \(\mathrm{a}\). | Adiabatic |
| \(Q\). | Process-II | \(\mathrm{b}\). | Isobaric |
| \(R\). | Process-III | \(\mathrm{c}\). | Isochoric |
| \(S\). | Process-IV | \(\mathrm{d}\). | Isothermal |
| 1. | \(P \rightarrow \mathrm{a}, Q \rightarrow \mathrm{c}, R \rightarrow \mathrm{d}, S \rightarrow \mathrm{b}\) |
| 2. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{a}, R \rightarrow \mathrm{d}, S \rightarrow b\) |
| 3. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\) |
| 4. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\) |
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A polyatomic gas \(\left(\gamma = \frac{4}{3}\right)\) is compressed to \(\frac{1}{8}\) of its volume adiabatically. If its initial pressure is \(P_0,\) its new pressure will be:
| 1. | \(8P_0\) | 2. | \(16P_0\) |
| 3. | \(6P_0\) | 4. | \(2P_0\) |
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Which of the following graph shows the variation of pressure P with volume V for an ideal gas at a constant temperature?
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2. |  |
| 3. |  |
4. |  |
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1. \(V_1= V_2\)
2. \(V_1> V_2\)
3. \(V_1< V_2\)
4. \(V_1\ge V_2\)
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Which of the following statement in the case of a thermodynamic process is not correct?
(The symbols carry their usual meaning)
| 1. | \(\Delta E_{\text{int}}=W;\) indicates an adiabatic process |
| 2. | \(\Delta E_{\text{int}}=Q;\) suggests an isochoric process |
| 3. | \(\Delta E_{\text{int}}=0;\) is true for a cyclic process |
| 4. | \(\Delta E_{\text{int}}=-W;\) indicates an adiabatic processes |
1. \(450~\text{K}\)
2. \(375~\text{K}\)
3. \(225~\text{K}\)
4. \(405~\text{K}\)
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Which one of the following processes is reversible?
| 1. | Transfer of heat by radiation |
| 2. | Transfer of heat by conduction |
| 3. | Isothermal compression |
| 4. | Electrical heating of a nichrome wire |
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| Statement I: | When \(\mu\) amount of an ideal gas undergoes adiabatic change from state \(\left({P}_1, {V}_1, {T}_1\right)\) to state \(\left({P}_2, {V}_2, {T}_2\right)\)the work done is, \({W}=\frac{\mu{R}\left({T}_2-{T}_1\right)}{1-\gamma}\), where \(\gamma=\frac{C_P}{C_V}\) and \(R=\) universal gas constant, |
| Statement II: | In the above case, when work is done on the gas, the temperature of the gas would rise. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Both Statement I and Statement II are incorrect. |
| 3. | Statement I is correct but statement II is incorrect. |
| 4. | Statement I is incorrect but statement II is correct. |
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