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  4. The internal energy (U), pressure (P) and volume ( V ) of an ideal gas are related as U = 3 PV +4. The gas is :-

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Q. The internal energy (U), pressure (P) and volume $( V )$ of an ideal gas are related as $U =$ $3 PV +4$. The gas is :-

JEE MainJEE Main 2021Kinetic Theory

Solution:

$U =3 PV +4$
$\frac{ nf }{2} RT =3 PV +4$
$\frac{ f }{2} PV =3 PV +4$
$f =6+\frac{8}{ PV }$
Since degree of freedom is more than $6$ therefore gas is polyatomic