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Q. No.
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The Carnot cycle (reversible) of gas is represented by a pressure-volume curve as shown in the figure. Consider the following statements:
| I. | The area \(ABCD\) = The work done on the gas |
| II. | The area \(ABCD\) = The net heat absorbed |
| III. | The change in the internal energy in the cycle = \(0\) |
Which of the statement(s) given above is/are correct?
| 1. | I only | 2. | II only |
| 3. | II and III | 4. | I, II, and III |
Subtopic: Â Cyclic Process |
 53%
Level 3: 35%-60%
Hints
One mole of a diatomic ideal gas undergoes a cyclic process \(ABC\) as shown in the figure. The process \(BC\) is adiabatic. The temperatures at \(A,\) \(B,\) and \(C\) are \(400\) K, \(800\) K, and \(600\) K respectively. Choose the correct statement:
| 1. | The change in internal energy in the process \(BC\) is \(-500R.\) |
| 2. | The change in internal energy in the whole cyclic process is \(250R.\) |
| 3. | The change in internal energy in the process \(CA\) is \(700R.\) |
| 4. | The change in internal energy in the process \(AB\) is \(-350R.\) |
Subtopic: Â Cyclic Process |
 73%
Level 2: 60%+
Hints
One mole of an ideal gas is taken through a cyclic process as shown in the \((V\text-T)\) diagram. Which of the following statements is correct?
| 1. | The magnitude of the work done by the gas is \(RT_{0}\ln 2.\) |
| 2. | The work done by the gas is \(V_{0}T_{0}.\) |
| 3. | The net work done by the gas is zero. |
| 4. | The work done by the gas is \(2RT_{0}\ln2.\) |
Subtopic: Â Cyclic Process |
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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