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  4. The energy density (u/V) of an ideal gas is related to its pressure P as

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Q. The energy density $\frac{u}{V}$ of an ideal gas is related to its pressure $P$ as

Kinetic Theory

Solution:

$P V=n R T$
Energy of $n$ moles of gas
$u=n \frac{3 R T}{2} ; u=\frac{3}{2}(P V)$
or $\frac{u}{V}=\frac{3 P}{2} .$