JEE Physics · Hard

Kinetic Theory and Thermodynamics: Real Gases MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Real GasesHardQuestion 31093

Question

Critical constants of a van der Waals gas (P_c, V_c, T_c) are related to a and b by:
  1. A
    T_c = 8a/(27Rb)
    Correct
  2. B
    T_c = a/(Rb)
  3. C
    T_c = a/(2Rb)
  4. D
    T_c = 27Rb/(8a)

Correct answer

T_c = 8a/(27Rb)

Explanation

Critical constants: T_c = 8a/(27Rb), V_c = 3b, P_c = a/(27b²). At critical point, gas-liquid distinction vanishes.