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JEE Main201910 Jan 2019Evening ShiftChemistryThermodynamics (C)Actual

An ideal gas undergoes isothermal compression from 5 m 3 to 1 m 3 against a constant external pressure of 4 N m - 2 . The heat released in this process is 24 J mol - 1 K - 1 and is used to increase the pressure of 1 mole of Al . The temperature of Al increases by:

Options

  1. A2 3   K
  2. B1   K
  3. C3 2   K
  4. D2   K

Correct answer

A. 2 3   K

Step-by-step solution

Work done on isothermal irreversible compression for an ideal gas: W = - 4   1 - 5 = 16   J For an isothermal process, ∆U = 0 q = - 16 J ; heat released is 16   J . q = nC m ΔT 16 = 1 × 24 × ∆ T ∆ T = 2 3   K

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