The internal energy $(U),$ pressure $(P)$ and volume $( V )$ of an ideal gas are related as $U =$ $3 P V+4$. The gas is :-
A
Diatomic only
B
Polyatomic only
C
Either monoatomic or diatomic
D
Monoatomic only
JEE MAIN 2021, Diffcult
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B
Polyatomic only
b $U =3 PV +4$
$\frac{ nf }{2} RT =3 PV +4$
$\frac{ f }{2} PV =3 PV +4$
$f =6+\frac{8}{ PV }$
Since degree of freedom is more than $6$ therefore gas is polyatomic.
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