Figure shows, adiabatic curve on a log T and log V scale performed on ideal gas. gas is ............

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11.Thermodynamics

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Figure shows, the adiabatic curve on a $\log T$ and log $V$ scale performed on ideal gas. The gas is ............

A

Monatomic

B

Diatomic

C

Polyatomic

D

Mixture of monatomic and diatomic

Solution

(a)

$T V^{\gamma-1}=K$

$\log T+(\gamma-1) \log V=0$

$\log T=-(\gamma-1) \log V$

$y=-(\gamma-1) x$

$\frac{y}{x}=-(\gamma-1)=\text { slope }=\frac{2-4}{4-1}$

$\Rightarrow-(\gamma-1)=-\frac{2}{3}$

$\gamma=\frac{5}{3}$

$\therefore \text { Monoatomic.}$

Standard 11

Physics

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