Q. No.A given mass of gas expands from state \(A\) to state \(B\) by
three paths \(1, 2~\text{and}~3\), as shown in the figure. If \(W_1, W_2~\text{and}~W_3\) respectively be the work done by the gas along the three paths, then:
1.
\(W_1 >W_2>W_3\)
2.
\(W_1<W_2<W_3\)
3.
\(W_1 =W_2=W_3\)
4.
\(W_1 <W_2=W_3\)
For the indicator diagram given below, which of the following is not correct?
| 1. | Cycle II is a heat engine cycle. |
| 2. | Net work is done on the gas in cycle I. |
| 3. | Work done is positive for cycle I. |
| 4. | Work done is positive for cycle II. |
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. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow \mathrm{a}\) |
An ideal gas goes from state \(A\) to state \(B\) via three different processes, as indicated in the \(P\text-V\) diagram. If \(Q_1,Q_2,Q_3\) indicates the heat absorbed by the gas along the three processes and \(\Delta U_1, \Delta U_2, \Delta U_3\) indicates the change in internal energy along the three processes respectively, then:
| 1. | \({Q}_1>{Q}_2>{Q}_3 \) and \(\Delta {U}_1=\Delta {U}_2=\Delta {U}_3\) |
| 2. | \({Q}_3>{Q}_2>{Q}_1\) and \(\Delta {U}_1=\Delta {U}_2=\Delta {U}_3\) |
| 3. | \({Q}_1={Q}_2={Q}_3\) and \(\Delta {U}_1>\Delta {U}_2>\Delta {U}_3\) |
| 4. | \({Q}_3>{Q}_2>{Q}_1\) and \(\Delta {U}_1>\Delta {U}_2>\Delta {U}_3\) |
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. |
The specific heat of a gas in an isothermal process is:
| 1. | Infinite | 2. | Zero |
| 3. | Negative | 4. | Remains constant |
Two identical samples of a gas are allowed to expand, (i) isothermally and (ii) adiabatically. The work done will be:
| 1. | more in the isothermal process. |
| 2. | more in the adiabatic process. |
| 3. | equal in both processes. |
| 4. | none of the above. |
In an adiabatic expansion of a gas, if the initial and final temperatures are \(T_1\) and \(T_2\), respectively, then the change in internal energy of the gas is:
1. \(\frac{nR}{\gamma-1}(T_2-T_1)\)
2. \(\frac{nR}{\gamma-1}(T_1-T_2)\)
3. \(nR ~(T_1-T_2)\)
4. Zero
In a cyclic process, the internal energy of the gas:
| 1. | increases | 2. | decreases |
| 3. | remains constant | 4. | becomes zero |
When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is:
| 1. | \(\dfrac{2}{5}\) | 2. | \(\dfrac{3}{5}\) |
| 3. | \(\dfrac{3}{7}\) | 4. | \(\dfrac{5}{7}\) |
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