An ideal gas, undergoing adiabatic change, has which of following pressure temperature relationship?

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11.Thermodynamics

easy

An ideal gas, undergoing adiabatic change, has which of the following pressure temperature relationship?

A

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

B

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

C

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

D

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

(AIPMT-1996)

Solution

(d)$P{V^\gamma } = $constant

==> $P\,{\left( {\frac{{RT}}{P}} \right)^\gamma } = $constant
==> ${P^{1 – \gamma }}{T^\gamma } = $constant.

Standard 11

Physics

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