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Q. No.If Carnot engines work between the freezing point and boiling point of water, then the efficiency of a Carnot engine is:
1. \(35\)%
2. \(27\)%
3. \(22\)%
4. \(17\)%
Subtopic: Carnot Engine |
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A gas is compressed adiabatically. Which of the following statements is not correct?
| 1. | Internal energy is constant |
| 2. | Temperature increases |
| 3. | |Work done| = |change in internal energy| |
| 4. | Heat is not supplied to the system |
Subtopic: First Law of Thermodynamics |
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In which of the following processes does the internal energy of a gas remain constant?
1. Isothermal
2. Isochoric
3. Isobaric
4. Adiabatic
1. Isothermal
2. Isochoric
3. Isobaric
4. Adiabatic
Subtopic: Types of Processes |
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When the amount of heat supplied to a gas in a system is equal to \(1000\) J, the system in return does \(200\) J of work on the surrounding. What would be the change in the internal energy of the gas?
1. \(800\) J
2. \(1200\) J
3. \(1000\) J
4. \(1100\) J
1. \(800\) J
2. \(1200\) J
3. \(1000\) J
4. \(1100\) J
Subtopic: First Law of Thermodynamics |
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A monoatomic gas initially at pressure \(P\) and volume \(V\) is compressed to \(\left ( \frac{1}{8} \right )^\mathrm{th}\)of its volume adiabatically. The final pressure of the gas is:
1. \(4P\)
2. \(8P\)
3. \(16P\)
4. \(32P\)
1. \(4P\)
2. \(8P\)
3. \(16P\)
4. \(32P\)
Subtopic: Work Done by a Gas |
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Given a cyclic process shown in an indicator diagram using SI units. The work done by the gas during the process is:
| 1. | \(300\) units | 2. | \(-300\) units |
| 3. | \(600\) units | 4. | \(-600\) units |
Subtopic: Cyclic Process |
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A Carnot engine operates between temperatures of \(27^\circ \mathrm C\) and \(127^\circ \mathrm C\) and performs \(2\) kJ of work. The amount of heat energy rejected is:
| 1. | \(4\) kJ | 2. | \(6\) kJ |
| 3. | \(8\) kJ | 4. | \(12\) kJ |
Subtopic: Carnot Engine |
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Given below are two statements:
| Assertion (A): | When heat is supplied to a system, its temperature must increase. |
| Reason (R): | Positive work done by the system increases the volume of the thermodynamic system. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Work Done by a Gas |
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A mixture of gases with adiabatic coefficient equal to 3/2 is compressed from initial state (P0, V0) to one fourth volume adiabatically. Its final pressure will be equal to
1. P0
2. 2P0
3. 4P0
4. 8P0
1. P0
2. 2P0
3. 4P0
4. 8P0
Subtopic: Types of Processes |
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In a polytropic process, the pressure \(P\) varies with volume \(V\) according to the equation \(P=aV^{-3},\) where \(a\) is a constant. The bulk modulus of this system is:
1. \(3V\)
2. \(3P\)
3. \(P\)
4. \(V\)
1. \(3V\)
2. \(3P\)
3. \(P\)
4. \(V\)
Subtopic: Types of Processes |
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