Question

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

• A. $\frac{u}{V}=3P$
• B. $\frac{u}{V}=\frac{3}{2}P$
• C. $\frac{u}{V}=\frac{1}{3}P$
• D. $\frac{u}{V}=\frac{2}{3}P$

Answer 1

Answer: (B)

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