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NEETChemistryThermodynamics (C)

Match List-I with List-II for an ideal gas: List-I List-II A. C_p - C_v for one mole I. H B. C_p C_v II. U C. Heat absorbed at constant pressure ( q_p ) III. R D. Heat absorbed at constant volume ( q_v ) IV. Choose the correct answer from the options given below:

Options

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

Correct answer

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

Step-by-step solution

For one mole of an ideal gas, the difference between molar heat capacity at constant pressure ( C_p ) and at constant volume ( C_v ) is equal to the universal gas constant ( R ). Thus, C_p - C_v = R . The ratio of molar heat capacities C_p C_v is defined as . By definition, heat absorbed at constant pressure ( q_p ) is equal to the change in enthalpy ( H ), and heat absorbed at constant volume ( q_v ) is equal to the change in internal energy ( U ). Therefore, the correct matching is A-III, B-IV, C-I, D-II. Answer:

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