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NEET 1994 (AIPMT) · Thermodynamic Processes

Thermodynamic Processes question from NEET 1994 (AIPMT)

Q253NEET 1994 · AIPMTMedium

Thermodynamic Processes

In an adiabatic change, the pressure and temperature of a monatomic gas are related as P∝TCP \propto T^{C}, where CC equals

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Answer: (d)

  1. Adiabatic: P1−γTγ=P^{1-\gamma}T^{\gamma} = constant, so P∝Tγγ−1P \propto T^{\frac{\gamma}{\gamma-1}}.
  2. Monatomic gas: γ=53\gamma = \frac{5}{3}, so C=5/32/3=52C = \frac{5/3}{2/3} = \frac{5}{2}.
  3. So the answer is (d) 52\frac{5}{2}.
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