Question:
The internal energy $(U)$, pressure $(P)$ and volume $(V)$ of an ideal gas are related as $U=3 P V+4$. The gas is :
Correct Option: 1,
Solution:
(1)
$U=3 P V+4$
$\frac{\mathrm{f}}{2} \mathrm{PV}=3 \mathrm{PV}+4 \quad \therefore \mathrm{u}=\frac{\mathrm{f}}{2} \mathrm{nRT}$
$f=6+\frac{8}{P V} \therefore \mathrm{PV}=\mathrm{nRT}$
$\mathrm{f}>6 \therefore$ Polyatomic gas.