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Physics · THERMODYNAMICS

हिन्दी

During an isothermal expansion of \( \mu \) moles of an ideal gas at absolute temperature \( T \) from volume \( V_1 \) to \( V_2 \), the work done by the gas is:

  1. A
    \( \mu R T (\frac{V_2}{V_1}) \)
  2. B
    \( \mu R \ln(\frac{V_2}{V_1}) \)
  3. C
    \( \mu R T \ln(\frac{V_2}{V_1}) \)
  4. D
    \( \frac{\mu R T}{(V_2 - V_1)} \)
View Answer & Solution

Correct answer · Option C

\( \mu R T \ln(\frac{V_2}{V_1}) \)

Explanation

For an isothermal process, \( W = \int_{V_1}^{V_2} P dV = \mu R T \int_{V_1}^{V_2} \frac{dV}{V} = \mu R T \ln(\frac{V_2}{V_1}) \).
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