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Physics · THERMODYNAMICS

हिन्दी

An ideal gas undergoes an isothermal expansion from state \( (P_1, V_1) \) to \( (P_2, V_2) \). Which of the following expressions correctly represents the heat \( \Delta Q \) absorbed by \( \mu \) moles of the gas?

  1. A
    \( \Delta Q = 0 \)
  2. B
    \( \Delta Q = \mu R T \ln (\frac{P_1}{P_2}) \)
  3. C
    \( \Delta Q = \mu C_v (T_2 - T_1) \)
  4. D
    \( \Delta Q = \mu R T \ln (\frac{P_2}{P_1}) \)
View Answer & Solution

Correct answer · Option B

\( \Delta Q = \mu R T \ln (\frac{P_1}{P_2}) \)

Explanation

In an isothermal process of an ideal gas, \( \Delta U = 0 \). By the First Law, \( \Delta Q = W = \mu R T \ln(V_2/V_1) = \mu R T \ln(P_1/P_2) \).
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