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MHT CET202618 April 2026Evening ShiftChemistryThermodynamics (C)Actual

1 mole of an ideal gas is compressed isothermally and reversibly from initial pressure x kPa to final pressure 2x kPa at 300 K. Find the work done (R = 8.314 J K ⁻¹ mol ⁻¹)

Options

  1. A1432 J
  2. B1865 J
  3. C1296 J
  4. D1729 J

Correct answer

D. 1729 J

Step-by-step solution

For an isothermal reversible process, the work done is given by: W = nRT ( P₂ P₁ ) Substituting the given values: n = 1 mol T = 300 K P₁ = x kPa P₂ = 2x kPa R = 8.314 J K ⁻¹ mol ⁻¹ W = 1 8.314 300 ( 2x x ) W = 2494.2 (2) W = 2494.2 0.693 W 1729 J Answer: 1729 J

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