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Question

Which statements about thermodynamic processes and heat engines is/are correct?

1. Work done in irreversible expansion is greater than in quasi-static expansion.

2. Efficiency of an ideal heat engine depends only on reservoir temperatures.

3. Heat flows from cold to hot only with external work.

This question was previously asked in
SSC CGL 2025 Tier 2 Paper 1 Question Paper (19-Jan-2026)
The correct answer is

2 and 3 only

Statement 1 — FALSE. For a gas expanding between the same two states, the work done is maximum in a quasi-static (reversible) process and less in an irreversible expansion. So work in irreversible expansion is smaller, not greater.

Statement 2 — TRUE. The efficiency of an ideal (Carnot) heat engine is \(\eta = 1 - \dfrac{T_C}{T_H}\), which depends only on the absolute temperatures of the cold (\(T_C\)) and hot (\(T_H\)) reservoirs.

Statement 3 — TRUE. By the Second Law of Thermodynamics (Clausius statement), heat cannot flow spontaneously from a colder body to a hotter body; transfer in that direction requires external work, as in a refrigerator or heat pump.

Hence statements 2 and 3 are correct → option B.

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