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Q. No.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 |
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Level 1: 80%+
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A monoatomic gas performs a work of \(\dfrac{ Q} {4}\) where \(Q\) is the heat supplied to it. During this transformation, the molar heat capacity of the gas will be: (\(R\) is the gas constant.)
| 1. | \(R\) | 2. | \(2R\) |
| 3. | \(3R\) | 4. | \(4R\) |
Subtopic: Molar Specific Heat |
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Level 2: 60%+
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Given below are two statements:
| Assertion (A): | It is not possible for a system, unaided by an external agency to transfer heat from a body at a lower temperature to another at a higher temperature. |
| Reason (R): | It is not possible to violate the second law of thermodynamics. |
| 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. | Both (A) and (R) are False. |
Subtopic: Second Law of Thermodynamics |
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Level 2: 60%+
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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 |
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Level 2: 60%+
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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 |
Level 3: 35%-60%
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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 |
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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 |
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Level 3: 35%-60%
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A fixed mass of an ideal gas undergoes a change in which it is supplied with \(3500\) J of thermal energy. At the same time, this gas does \(3500\) J of work on its surroundings. Which type of change does the gas undergo during this time?
| 1. | adiabatic | 2. | isothermal |
| 3. | isochoric | 4. | isomeric |
Subtopic: First Law of Thermodynamics |
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Level 2: 60%+
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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 |
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Level 1: 80%+
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Consider the following statements and select the correct option:
| Statement (A): | Heat is not a state function. |
| Statement (B): | Heat supplied to a system is a path function. |
| 1. | Both statements (A) and (B) are True. |
| 2. | Both statements (A) and (B) are False. |
| 3. | Only statement (A) is True. |
| 4. | Only statement (B) is True. |
Subtopic: Basic Terms |
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Level 2: 60%+
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