Q. No.The efficiency of a Carnot heat engine working between the temperatures \(27^{\circ}\mathrm{C}\) and \(227^{\circ}\mathrm{C}\) is:
1. 0.1
2. 0.6
3. 0.2
4. 0.4
1. 0.1
2. 0.6
3. 0.2
4. 0.4
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The cyclic process of 2 moles of diatomic gas is shown in the figure. Which of the following statements is correct?
| 1. | Process BC is an isothermal compression. |
| 2. | Work done in the process CA is \(4 R T_0\) |
| 3. | Work done in the process AB is zero. |
| 4. | All of these |
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An ideal gas is enclosed in an insulated cylinder. The piston is frictionless and attached to an ideal spring. When the gas is heated, then:
| 1. | the work is done against the spring only. |
| 2. | the work is done against the atmospheric pressure only. |
| 3. | the internal energy of gas increases. |
| 4. | the work is equal to the heat supplied. |
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The coefficient of performance of an ideal refrigerator is 3 which extracts heat from the sink at the rate of 399 J per cycle. The amount of heat it gives to the room per cycle will be:
1 532 J
2 250 J
3 300 J
4 496 J
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If a gas undergoes the change in its thermodynamic state from A to B via two different paths, as shown in the given pressure (P) versus volume (V) graph, then:
| 1. | the temperature of the gas decreases in path 1 from A to B. |
| 2. | the heat absorbed by the gas in path 1 is greater than in path 2. |
| 3. | the heat absorbed by the gas in path 2 is greater than in path 1. |
| 4. | the change in internal energy in path 1 is greater than in path 2. |
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The PV diagram of an ideal gas is shown in the figure. The work done by the gas in the process is given by:
| 1. | \(\frac{9}{2}P_0V_0\) | 2. | \(\frac{15}{2}P_0V_0\) |
| 3. | \(\frac{13}{2}P_0V_0\) | 4. | \(\frac{3}{2}P_0V_0\) |
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A pressure (P) versus volume (V) graph is obtained for an ideal gas from state A to State B (as shown in the figure below). Which of the following is the correct statement?
| 1. | The temperature of gas increases continuously. |
| 2. | The temperature of gas decreases continuously. |
| 3. | The temperature first increases, then decreases. |
| 4. | The temperature first decreases, then increases |
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When the sink temperature is kept at 400 K, the efficiency of a Carnot engine is 50%. While keeping the source temperature constant, by how much should we reduce the sink temperature to increase the efficiency to 60%?
| 1. | 80 K | 2. | 70 K |
| 3. | 320 K | 4. | 240 K |
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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?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
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