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Match the List-I with List-II List-I (Isothermal process for ideal gas system) A. Reversible expansion B. Free expansion C. Irreversible expansion D. Irreversible compression List-II Work done (if V_f > V_i) I. w = 0 II. w = -nRT ln(V_f/V_i) III. w = -p_ex (V_f - V_i) IV. w = -p_ex (V_i - V_f) Choose the correct answer from the options given below :

1. A-IV, B-I, C-III, D-II
2. A-IV, B-II, C-III, D-I
3. A-I, B-III, C-II, D-IV
4. A-II, B-I, C-III, D-IV

Correct answer: A-II, B-I, C-III, D-IV

Solution

The correct matches reflect the characteristics of each process: A (reversible expansion) corresponds to the work done formula for isothermal processes, B (free expansion) has no work done, C (irreversible expansion) uses the external pressure for work calculation, and D (irreversible compression) also uses external pressure but in the opposite direction.

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