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JEE Main 2024 (5 Apr, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2024 (5 Apr, Shift 2)

Q120JEE Main 2024 · 5 APR · SHIFT 2Medium

Thermodynamic Processes

During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of CPCV\frac{C_P}{C_V} for the gas is:

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Answer: (b)

  1. Adiabatic: P1−γTγ=constP^{1-\gamma}T^\gamma = \text{const}, so P∝Tγ/(γ−1)P \propto T^{\gamma/(\gamma-1)}.
  2. γγ−1=3⇒γ=32\frac{\gamma}{\gamma - 1} = 3 \Rightarrow \gamma = \frac{3}{2}
  3. So the answer is (b) 32\frac{3}{2}.
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