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MHT CET · Chemistry · Thermodynamics (C)

Calculate work done in isothermal reversible expansion of 1 mole ideal gas from initial pressure 10 bar to final pressure 1 bar at 300 K \(\left(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)\)

  1. A \(-2.87 \mathrm{~kJ}\)
  2. B \(-8 \cdot 60 \mathrm{~kJ}\)
  3. C \(-5.74 \mathrm{~kJ}\)
  4. D \(-11.49 \mathrm{~kJ}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(-5.74 \mathrm{~kJ}\)

Step-by-step Solution

Detailed explanation

\(W = -nRT \ln \left( \frac{P_1}{P_2} \right)\) \(W = -(1)(8.314)(300) \ln \left( \frac{10}{1} \right)\)