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Q. No.A Carnot engine takes \(5000~\text{kcal}\) of heat from a reservoir at \(727^\circ \text{C}\) and gives heat to a sink at \(127^\circ \text{C}.\) The work done by the engine is:
1. \(3 \times 10^6 ~\text J\)
2. zero
3. \(12.6 \times 10^6 \)
4. \(8.4 \times 10^6 \)
1. \(3 \times 10^6 ~\text J\)
2. zero
3. \(12.6 \times 10^6 \)
4. \(8.4 \times 10^6 \)
Subtopic: Carnot Engine |
60%
From NCERT
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Given below are two statements:
| Assertion (A): | The internal energy of an ideal gas does not depend on the volume of the gas. |
| Reason (R): | Internal energy depends only on the temperature of a gas. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Basic Terms |
From NCERT
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If an ideal gas is compressed isothermally, which of the following statement is true?
| 1. | Energy is transferred into the gas by heat. |
| 2. | Work is done by the gas. |
| 3. | Pressure of the gas decreases. |
| 4. | The internal energy of the gas remains constant. |
Subtopic: Types of Processes |
81%
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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: Work Done by a Gas |
70%
From NCERT
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The \((P\text-V)\) graph of an ideal monoatomic gas is as shown. The molar heat capacity of gas will be:
1. \(2R\)
2. \(3R\)
3. \(5R\)
4. \(7R\)
Subtopic: Molar Specific Heat |
53%
From NCERT
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In a certain process, \(33.5\) kJ is furnished to the system while the system does \(6\) kJ of work. What is the change in the internal energy of the system?
1. \(39.5\) kJ
2. \(33.5\) kJ
3. \(27.5\) kJ
4. \(6\) kJ
1. \(39.5\) kJ
2. \(33.5\) kJ
3. \(27.5\) kJ
4. \(6\) kJ
Subtopic: First Law of Thermodynamics |
82%
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 |
79%
From NCERT
AIPMT - 2008
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The second law of thermodynamics says:
| 1. | the efficiency of a heat engine can be unity. |
| 2. | the heat released to the cold reservoir can be made zero. |
| 3. | coefficient of performance can never be infinite for refrigerators. |
| 4. | none of the above. |
Subtopic: Second Law of Thermodynamics |
61%
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A heat engine (Carnot engine) operates between a cold reservoir at temperature \(T_2=300\) K and a hot reservoir at temperature \(T_1.\) If it were to take \(100\) J of heat from the hot reservoir and deliver \(80\) J of heat to the cold reservoir in each cycle, the minimum temperature of the hot reservoir would be:
1. \(350\) K
2. \(375\) K
3. \(400\) K
4. \(450\) K
1. \(350\) K
2. \(375\) K
3. \(400\) K
4. \(450\) K
Subtopic: Carnot Engine |
87%
From NCERT
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In an isothermal change, an ideal gas obeys:
| 1. | Boyle's law | 2. | Charles law |
| 3. | Gay-Lussac law | 4. | None of the above |
Subtopic: Basic Terms |
87%
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