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Q. No.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), (d) | 2. | (a), (d) |
| 3. | (b), (c) | 4. | (a), (c), (d) |
Subtopic: Â Work Done by a Gas |
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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 |
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From NCERT
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The pressure \(P\) and volume \(V\) of an ideal gas both increase in a process.
| (a) | such a process is not possible. |
| (b) | the work done by the system is positive. |
| (c) | the temperature of the system must increase. |
| (d) | heat supplied to the gas is equal to the change in internal energy. |
Choose the correct option:
| 1. | (a), (b) | 2. | (b), (c) |
| 3. | (c), (d) | 4. | (a), (d) |
Subtopic: Â Work Done by a Gas |
 64%
From NCERT
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An ideal gas expands along the path \(\mathrm{AB}\) as shown in the \((\mathrm{P\text-V})\) diagram. The work done is:
(Take \(1\) atm \(=\) \(10^5\) Pa)
1. \({4}\times{10}^{4}\) J
2. \(1.2\times 10^{5}\) J
3. \(2.4\times 10^{5}\) J
4. none of the above
(Take \(1\) atm \(=\) \(10^5\) Pa)
1. \({4}\times{10}^{4}\) J
2. \(1.2\times 10^{5}\) J
3. \(2.4\times 10^{5}\) J
4. none of the above
Subtopic: Â Work Done by a Gas |
 79%
From NCERT
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The volume versus temperature graph for two moles of monoatomic gas is shown in the figure. The ratio of work done by the gas to the heat absorbed by it in the process \(A\) to \(B\) is:
| 1. | \(\dfrac{1}{2}\) | 2. | \(\dfrac{2}{5}\) |
| 3. | \(\dfrac{3}{7}\) | 4. | \(\dfrac{3}{5}\) |
Subtopic: Â Work Done by a Gas |
 80%
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For the given cycle, the work done during the isobaric process is:
1. \(200\) J
2. zero
3. \(400\) J
4. \(600\) J
1. \(200\) J
2. zero
3. \(400\) J
4. \(600\) J
Subtopic: Â Work Done by a Gas |
 52%
From NCERT
NEET - 2023
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\(280\) J heat is supplied to a diatomic gas at constant pressure. Work done by the gas in the process is:
| 1. | \(120\) J | 2. | \(200\) J |
| 3. | \(180\) J | 4. | \(80\) J |
Subtopic: Â Work Done by a Gas |
 74%
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The temperature of \(n\) moles of an ideal gas is increased from \(T\) to \(4T\) through a process for which pressure \(P=\frac aT,\) where \(a\) is a constant. The work done by the gas is:
(\(R\) is universal gas constant)
(\(R\) is universal gas constant)
| 1. | \(3nRT\) | 2. | \(6nRT\) |
| 3. | \(4nRT\) | 4. | \(9nRT\) |
Subtopic: Â Work Done by a Gas |
From NCERT
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A thermodynamic system is taken through the cycle \(abcda.\) The work done by the gas along the path \(bc\) is:
1. \(30~\text J\)
2. \(-90~\text J\)
3. \(-60~\text J\)
4. zero
1. \(30~\text J\)
2. \(-90~\text J\)
3. \(-60~\text J\)
4. zero
Subtopic: Â Work Done by a Gas |
 65%
From NCERT
NEET - 2024
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A thermodynamic system is taken from an original state \(D\) to an intermediate state \(E\) by the linear process, as shown in the figure. Its volume is then reduced to the original volume from \(E\) to \(F\) by an isobaric process. The total work done by the gas from \(D\) to \(E\) to \(F\) will be:
| 1. | \(-450 \text{ J} \) | 2. | \(450 \text{ J} \) |
| 3. | \(900 \text{ J} \) | 4. | \(1350 \text{ J} \) |
Subtopic: Â Work Done by a Gas |
 68%
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