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MHT CET Medical202623 April 2026Evening ShiftChemistryThermodynamics (C)Actual

1 mole of certain gas expands isothermally and reversibly from 1 dm ^3 to 10 dm ^3 and performs -4308 J work. Calculate the temperature at which expansion of gas takes place [R = 8.314 JK ⁻¹ mol ⁻¹ ]

Options

  1. A200 K.
  2. B215 K.
  3. C225 K.
  4. D205 K.

Correct answer

C. 225 K.

Step-by-step solution

For an isothermal reversible expansion, the work done is given by: W = -2.303 n R T ₁₀ ( V₂ V₁ ) Substituting the given values W = -4308 J, n = 1 mol, R = 8.314 J K ⁻¹ mol ⁻¹ , V₁ = 1 dm ^3 , and V₂ = 10 dm ^3 : -4308 = -2.303 1 8.314 T ₁₀ ( 10 1 ) -4308 = -19.147 T 1 T = 4308 19.147 T 225 K Answer: 225 K.

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