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JEE Main 2025 (8 Apr, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from JEE Main 2025 (8 Apr, Shift 2)

Q84JEE Main 2025 · 8 APR · SHIFT 2Medium

Thermodynamic Processes

A monoatomic gas having γ=53\gamma = \frac{5}{3} is stored in a thermally insulated container and the gas is suddenly compressed to (18)\left(\frac{1}{8}\right)th of its initial volume. The ratio of final pressure and initial pressure is: (γ\gamma is the ratio of specific heats of the gas at constant pressure and at constant volume)

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Answer: (b)

  1. Insulated, sudden compression is adiabatic: P2P1=(V1V2)γ\frac{P_2}{P_1} = \left(\frac{V_1}{V_2}\right)^\gamma.
  2. P2P1=85/3=32\frac{P_2}{P_1} = 8^{5/3} = 32
  3. So the answer is (b) 32.
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