Q. No.An ideal gas is taken reversibly around the cycle a-b-c-d-a as shown on the \(T\) (temperature) -\(S\) (entropy) diagram.
The most appropriate representation of the above cycle on a \(U\) (internal energy) -\(V\) (volume) diagram is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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. |
Thermodynamic processes are indicated in the following diagram.
Match the following:
| Column I | Column II | ||
| P. | Process-I | a. | Adiabatic |
| Q. | Process-II | b. | Isobaric |
| R. | Process-III | c. | Isochoric |
| S. | Process-IV | 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. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow a\) |
| 4. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow a\) |
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. | \(2P_0\) |
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. |  |
If an ideal gas undergoes two processes at constant volumes as shown in the pressure-temperature (P-T) diagram, then:
1. =
2. >
3. <
4.
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 |
An ideal gas at \(27^{\circ}\mathrm{C}\) is compressed adiabatically to of its original volume. If , then the rise in temperature will be:
1. 450 K
2. 375 K
3. 225 K
4. 405 K
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 |
| Statement-I: | When \(\mu\) amount of an ideal gas undergoes adiabatic change from state \(\left(\mathrm{P}_1, \mathrm{~V}_1, \mathrm{~T}_1\right)\) to state \(\left(\mathrm{P}_2, \mathrm{~V}_2, \mathrm{~T}_2 \right)\), the work done is, \(\mathrm{W}=\frac{\mu{R}\left(\mathrm{T}_2-\mathrm{T}_1\right)}{1-\gamma}\), 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 true. |
| 2. | Both statement-I and statement-II are false. |
| 3. | Statement-I is true but statement-II is false. |
| 4. | Statement-I is false but statement-II is true. |
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