Q. No.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. | \(P \rightarrow \mathrm{c}, Q \rightarrow \mathrm{d}, R \rightarrow \mathrm{b}, S \rightarrow a\) |
If an ideal gas undergoes two processes at constant volumes as shown in the pressure-temperature (P-T) diagram, then:
1. =
2. >
3. <
4.
The initial pressure and volume of a gas are \(P\) and \(V\), respectively. First, it is expanded isothermally to volume \(4V\) and then compressed adiabatically to volume \(V\). The final pressure of the gas will be: [Given: \(\gamma = 1.5\)]
| 1. | \(P\) | 2. | \(2P\) |
| 3. | \(4P\) | 4. | \(8P\) |
In the following figures, four curves A, B, C and D, are shown. The curves are:
| 1. | isothermal for A and D while adiabatic for B and C. |
| 2. | adiabatic for A and C while isothermal for B and D. |
| 3. | isothermal for A and B while adiabatic for C and D. |
| 4. | isothermal for A and C while adiabatic for B and D. |
A monoatomic ideal gas, initially at temperature \(T_1\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_2\) by releasing the piston suddenly. If \(L_1\) and \(L_2\) are the lengths of the gas column before and after expansion, respectively, then \(\frac{T_1}{T_2}\) is given by:
1. \(\left(\frac{L_1}{L_2}\right)^{\frac{2}{3}}\)
2. \(\frac{L_1}{L_2}\)
3. \(\frac{L_2}{L_1}\)
4. \(\left(\frac{L_2}{L_1}\right)^{\frac{2}{3}}\)
The pressure and volume of a gas are changed as shown in the P-V diagram. The temperature of the gas will:
| 1. | increase as it goes from A to B. |
| 2. | increase as it goes from B to C. |
| 3. | remain constant during these changes. |
| 4. | decrease as it goes from D to A. |
The figure shows the (P-V) diagram of an ideal gas undergoing a change of state from A to B. Four different paths I, II, III and IV, as shown in the figure, may lead to the same change of state.
| a. | The change in internal energy is the same in cases IV and III but not in cases I and II. |
| b. | The change in internal energy is the same in all four cases. |
| c. | Work done is maximum in case I. |
| d. | Work done is minimum in case II. |
Which of the following options contains only correct statements?
| 1. | (b), (c), (d) | 2. | (a), (d) |
| 3. | (b), (c) | 4. | (a), (c), (d) |
A given mass of gas expands from state A to state B by three paths, 1, 2 and 3, as shown in the figure. If respectively be the work done by the gas along the three paths, then:
| 1. | W1 > W2 > W3 | 2. | W1 < W2 < W3 |
| 3. | W1 = W2 = W3 | 4. | W1 < W2 = W3 |
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