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Q. No.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: Cyclic Process |
72%
From NCERT
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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: Cyclic Process |
From NCERT
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If \(Q\), \(E\), and \(W\) denote respectively the heat added, the change in internal energy, and the work done in a closed cycle process, then:
| 1. | \(W=0\) | 2. | \(Q=W=0\) |
| 3. | \(E=0\) | 4. | \(Q=0\) |
Subtopic: Cyclic Process |
77%
From NCERT
AIPMT - 2008
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The heat energy absorbed by a system in going through a cyclic process shown in the figure is:
1. \({10}^{3}\mathit{\pi}\) J
2. \({10}^{2}\mathit{\pi}\) J
3. \({10}^{4}\mathit{\pi}\) J
4. \({10}^{7}\mathit{\pi}\) J
1. \({10}^{3}\mathit{\pi}\) J
2. \({10}^{2}\mathit{\pi}\) J
3. \({10}^{4}\mathit{\pi}\) J
4. \({10}^{7}\mathit{\pi}\) J
Subtopic: Cyclic Process |
71%
From NCERT
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Refer to figure given below. Let \(ΔU_1\) and \(ΔU_2\) be the change in internal energy in processes \(A\) and \(B\) respectively, \(ΔQ\) be the net heat given to the system in process \(A + B\) and \(ΔW\) be the net work done by the system in the process \( A + B.\)
For the above figure:
| (a) | \(\Delta U_1+\Delta U_2=0\) |
| (b) | \(\Delta U_1-\Delta U_2=0\) |
| (c) | \(\Delta Q-\Delta W=0\) |
| (d) | \(\Delta Q+\Delta W=0\) |
Choose the correct option:
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (c)
Subtopic: Cyclic Process |
54%
From NCERT
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For an adiabatic process, the factor which remains constant is: (all the notations have their usual meaning)
1. \(P^{\gamma-1} {~T}^\gamma \)
2. \(T V^{1-\gamma} \)
3. \(V^{\gamma-1} {~T}^ \gamma \)
4. \(P^{1-\gamma} ~{T}^\gamma\)
1. \(P^{\gamma-1} {~T}^\gamma \)
2. \(T V^{1-\gamma} \)
3. \(V^{\gamma-1} {~T}^ \gamma \)
4. \(P^{1-\gamma} ~{T}^\gamma\)
Subtopic: Cyclic Process |
71%
From NCERT
NEET - 2024
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A sample of an ideal gas is taken through the cyclic process ABCA as shown in the figure. It absorbs, \(40\) J of heat during part AB, no heat during BC, and rejects \(60\) J of heat during CA. A work of \(50\) J is done on the gas during part BC. The internal energy of the gas at A is \(1560\) J. The work done by the gas during the part CA is:
1. \(20\) J
2. \(30\) J
3. \(-30\) J
4. \(-60\) J
1. \(20\) J
2. \(30\) J
3. \(-30\) J
4. \(-60\) J
Subtopic: Cyclic Process |
62%
From NCERT
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The \((P\text-V)\) diagram of a gas system undergoing a cyclic process is shown in the given figure. The work done by the gas during isobaric compression is:
| 1. | \(150\) J | 2. | \(-200\) J |
| 3. | \(-400\) J | 4. | \(-250\) J |
Subtopic: Cyclic Process |
58%
From NCERT
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