Pressure-temperature relationship for an ideal gas undergoi…

Physics Thermodynamics Adiabatic Process Single Correct MCQ

Published on: September 12, 2026

Pressure-temperature relationship for an ideal gas undergoing adiabatic change is $\left( \gamma = \frac{c_p}{c_v} \right)$

$\mathrm{PTY}=$ constant

$\mathrm{PT}^{-1+\gamma}=$ constant

$\mathrm{P} \gamma^{-1} \mathrm{T} \gamma =$ constant

$\mathbf{p}^{1-\gamma}\mathbf{T}^\gamma =$ constant

Text Solution

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The correct answer is:

$\mathrm{PV}^\gamma =$ constant ⇒ ⇒ $P\left(\frac{RT}{P}\right)^{\gamma} =$ constant

⇒ ⇒ $\mathbf{p}^{1-\gamma}\mathbf{T}^\gamma =$ constant.

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