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:
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. |
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. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\) |
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?
1. | 2. | ||
3. | 4. |
1. \(V_1= V_2\)
2. \(V_1> V_2\)
3. \(V_1< V_2\)
4. \(V_1\ge V_2\)
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 |
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: | \(\mu\) 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, |
When
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. |