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

Options

  1. AA-I, B-III, C-II, D-IV
  2. BA-II, B-I, C-III, D-IV
  3. CA-IV, B-I, C-III, D-II
  4. DA-IV, B-II, C-III, D-I

Correct answer

B. A-II, B-I, C-III, D-IV

Step-by-step solution

Matching isothermal processes with work expressions: A. Reversible expansion: In a reversible isothermal expansion from V_i to V_f (where V_f > V_i ), the gas does work against external pressure equal to the surroundings. The work is w = nRT V_f V_i , matching II. B. Free expansion: The gas expands into a vacuum with no external pressure opposition. No work is done: w = 0 , matching I. C. Irreversible expansion: Isothermal expansion from V_i to V_f against constant external pressure p_ ex . Work done is w = -p_ ex

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