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  4. During an adiabatic process, the cube of the pressure is found to be inversely proportional to the fourth power of the volume. Then, the ratio of specific heats is :

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Q. During an adiabatic process, the cube of the pressure is found to be inversely proportional to the fourth power of the volume. Then, the ratio of specific heats is :

NTA AbhyasNTA Abhyas 2022

Solution:

$P^{3} \propto \frac{1}{ V^{4}}\Rightarrow P^{3}V^{4}=$ constant
$\Rightarrow PV^{4 / 3}=$ constant
Comparing with $PV'$
$\Rightarrow \gamma =\frac{4}{3}=1.33$