Given below are two statements: 
Statement I: The efficiency of any thermodynamic engine can approach \(100\%\) if friction and all dissipative processes are reduced.
Statement II: The first law of thermodynamics is applicable only to non-living systems.
1. Statement-I is incorrect and Statement-II is correct.
2. Both Statement-I and Statement-II are correct.
3. Both Statement-I and Statement-II are incorrect.
4. Statement-I is correct and Statement-II is incorrect.

Subtopic:  Second Law of Thermodynamics |
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Given below are two statements: 
Assertion (A): It is possible that the temperature of a gas may fall even as it is being heated.
Reason (R): The specific heat capacity of a gas changes from process to process.
 
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:  First Law of Thermodynamics |
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Given below are two statements: 
Assertion (A): Reversible systems are difficult to find in the real world.
Reason (R): Most processes are dissipative in nature.
 
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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Given below are two statements: 
Statement-I: When \(\mu\) amount of an ideal gas undergoes adiabatic change from state \(\left(\mathrm{P}_1, \mathrm{~V}_1, \mathrm{~T}_1\right)\) to state \(\left(\mathrm{P}_2, \mathrm{~V}_2, \mathrm{~T}_2 \right)\), the work done is, 
\(\mathrm{W}=\frac{\mu{R}\left(\mathrm{T}_2-\mathrm{T}_1\right)}{1-\gamma}\), where \(\gamma=\frac{C_P}{C_v}\) and R = universal gas constant, 
Statement-II: In the above case, when work is done on the gas, the temperature of the gas would rise.
 
1. Both statement-I and statement-II are true.
2. Both statement-I and statement-II are false.
3. Statement-I is true but statement-II is false.
4. Statement-I is false but statement-II is true.
Subtopic:  Types of Processes |
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The heat taken by the gas in process \(a\) to \(b\) is \(6P_{0}V_{0}.\) Match Column I with Column II.
                          
Column I Column II
A. \(W_{ab}\) P. \(1.5R\)
B. \(\Delta U_{ab}\) Q. \(\dfrac {3P_0V_0}{2}\)
C. molar heat capacity in the given process R. \(\dfrac {9P_0V_0}{2}\)
D. \(C_{v}\) for the gas S. \(2R\)

Choose the correct option:
1. A → P, B → Q, C → S, D → R 
2. A → R, B → Q, C → S, D → P
3. A → Q, B → R, C → P, D → S
4. A → Q, B → R, C → S, D → P
Subtopic:  Types of Processes |
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Given below are two statements: 
Assertion (A): In an isothermal process, whole of the heat energy supplied to the body is converted into internal energy.
Reason (R): According to the first law of thermodynamics, \(\Delta Q = \Delta U + \Delta W \).
 
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:  Types of Processes |
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The ratio of molar specific heat capacity at constant pressure (\(C_p\)) to that at constant volume (\(C_v\)) varies with temperature (\(T\)) as: 
(Assume temperature to be low.)
1. \(T^0\)
2. \(T^{\frac{1}{2}}\)
3. \(T^1\)
4. \(T^{\frac{3}{2}}\)
Subtopic:  Molar Specific Heat |
 84%
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We consider a thermodynamic system. If ∆U represents the increase in its internal energy and W the work done by the system, which of the following statements is true?

1.  \(\Delta \mathrm{U}=-\mathrm{W}\)  in an isothermal process
2. \(\Delta \mathrm{U}=\mathrm{W}\) in an isothermal process
3. \(\Delta \mathrm{U}=-\mathrm{W}\) in an adiabatic process
4. \(\Delta \mathrm{U}=\mathrm{W}\)  in an adiabatic process      
Subtopic:  First Law of Thermodynamics |
 83%
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AIPMT - 1998
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If a gas changes volume from 2 litres to 10 litres at a constant temperature of 300K, then the change in its internal energy will be:

1. 12 J 2. 24 J
3. 36 J 4. 0 J
Subtopic:  Molar Specific Heat |
 85%
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AIPMT - 1998
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An ideal gas heat engine operates in a Carnot cycle between 227ºC and 127ºC. It absorbs 6 × 104 cals of heat at higher temperatures. The amount of heat converted to work will be?
1. 4.8 × 104 cals
2. 2.4 × 104 cals
3. 1.2 × 104 cals
4. 6 × 104 cals

Subtopic:  Carnot Engine |
 73%
From NCERT
AIPMT - 2005
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