Select the correct option based on statements below.
A Carnot engine works between two thermal reservoirs maintained at absolute temperatures $$T_{\text{high}}$$ and $$T_{\text{low}}$$.
 Assertion (A): If the efficiency of the engine is $$\frac1n,$$ then the coefficient of performance of the reversed cycle working as a refrigerator is $$n-1$$. Reason (R): The efficiency of Carnot's cycle is $$1-\frac{T_{\text{low}}}{T_{\text{high}}},$$ while the coefficient of performance of the reversed cycle is $$\frac{T_{\text{low}}}{T_{\text{high}~-~T_{\text{low}}}}$$.

 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:  Heat Engine & Refrigerator (OLD NCERT) |
60%
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For ideal diatomic gases at normal temperature,

 Statement I: Molar heat capacity at constant pressure for all diatomic gases is the same. Statement II: The specific heat capacity at constant pressure of all diatomic ideal gases is the same.

Choose the correct statement(s):

 1 only (I) is correct 2 only (II) is correct 3 both (I) and (II) are correct 4 none of them are correct
Subtopic:  Molar Specific Heat |
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Consider the following two statements.

 (A): If heat is added to a system, its temperature must increase. (B): If positive work is done by a system in a thermodynamic process, its volume must increase.

 1 Both A and B are correct. 2 A is correct but B is wrong. 3 B is correct but A is wrong. 4 Both A and B are wrong.
Subtopic:  Work Done by a Gas |
54%
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The figure shows the (P-V) diagram of an ideal gas undergoing a change of state from A to B. Four different paths I, II, III and IV, as shown in the figure, may lead to the same change of state.

 a. The change in internal energy is the same in cases IV and III but not in cases I and II. b. The change in internal energy is the same in all four cases. c. Work done is maximum in case I. d. Work done is minimum in case II.

Which of the following options contains only correct statements?

 1 (b), (c), (d) 2 (a), (d) 3 (b), (c) 4 (a), (c), (d)
Subtopic:  Work Done by a Gas |
78%
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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 |
75%
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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 |
68%
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A gas expands from $$\mathrm{i}$$ to $$\mathrm{f}$$ along the three paths indicated. The work done along the three paths denoted by have the relationship:

1.

2.

3.

4.

Subtopic:  Work Done by a Gas |
67%
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An ideal gas is made to undergo a cycle depicted by the $$(P-V)$$ diagram alongside. If the curved line from $$A$$ to $$B$$ is adiabatic, then:

 1 the efficiency of this cycle is given by unity as no heat is released during the cycle. 2 heat is absorbed in the upper part of the straight-line path and released in the lower. 3 if $$T_1$$ and $$T_2$$ are the maximum and minimum temperatures reached during the cycle, then the efficiency is given by, $$1-\frac{T_2}{T_1}.$$ 4 the cycle can only be carried out in the reverse direction as shown in the figure.
Subtopic:  Cyclic Process |
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In this $$(P-V)$$ diagram below the dashed curved line is adiabatic.

For a process, that is described by a straight line joining two points $$X$$ and $$Y$$ on the adiabat (solid line In the diagram) heat is:
(Consider the variations in temperature from $$X$$ to $$Y$$ along the straight line.)

 1 absorbed throughout from $$X$$ to $$Y.$$ 2 released throughout from $$X$$ to $$Y.$$ 3 absorbed from $$X$$ up to an intermediate point $$Z$$ (not shown In the ﬁgure) and then released from $$Z$$ to $$Y.$$ 4 released from $$X$$ up to an Intermediate point $$Z$$ (not shown in the ﬁgure) and then absorbed from $$Z$$ to $$Y.$$
Subtopic:  Types of Processes |
56%
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An ideal gas is taken reversibly around the cycle a-b-c-d-a as shown on the $$T$$ (temperature) -$$S$$ (entropy) diagram.

The most appropriate representation of the above cycle on a $$U$$ (internal energy) -$$V$$ (volume) diagram is:

 1 2 3 4
Subtopic:  Basic Terms |
64%
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