- 1(current)
Q. No.Consider the following two statements.
| Statement I: | If heat is added to a system, its temperature must increase. |
| Statement II: | If positive work is done by a system in a thermodynamic process, its volume must increase. |
| 1. | Both Statement I and Statement II are correct. |
| 2. | Statement I is correct and Statement II is incorrect. |
| 3. | Statement I is incorrect and Statement II is correct. |
| 4. | Both Statement I and Statement II are incorrect. |
Subtopic: Â Work Done by a Gas |
 58%
Level 3: 35%-60%
Hints
The figure shows the \((P\text-V)\) diagram of an ideal gas undergoing a change of state from \(A\) to \(B.\) Four different paths \(\mathrm{I, II, III}\) and \(\mathrm{IV},\) as shown in the figure, may lead to the same change of state.
| (a) | The change in internal energy is the same in cases \(\mathrm{IV}\) and \(\mathrm{III}\) but not in cases \(\mathrm{I}\) and \(\mathrm{II}.\) |
| (b) | The change in internal energy is the same in all four cases. |
| (c) | The work done is maximum in case \(\mathrm{I}.\) |
| (d) | The work done is minimum in case \(\mathrm{II}.\) |
Which of the following options contains only correct statements?
| 1. | (b), (c) and (d) only | 2. | (a) and (d) only |
| 3. | (b) and (c) only | 4. | (a), (c) and (d) only |
Subtopic: Â Work Done by a Gas |
 80%
Level 1: 80%+
Hints
A gas expands from \(i\) to \(f\) along the three paths indicated. The work done along the three paths denoted by \(W_1, W_2, ~\text{and}~W_3\) have the relationship:
| 1. | \(W_1<W_2<W_3\) | 2. | \(W_2<W_1=W_3\) |
| 3. | \(W_2<W_1<W_3\) | 4. | \(W_1>W_2>W_3\) |
Subtopic: Â Work Done by a Gas |
 70%
Level 2: 60%+
Hints
- 1(current)
Q. No.
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