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

Question

The internal energy (U), pressure (P) and volume ( V ) of an ideal gas are related as U = 3 PV +4. The gas is :- (A) Diatomic only (B) Polyatomic only (C) Either monoatomic or diatomic (D) Monoatomic only

Tardigrade Admin · Accepted Answer

U =3 PV +4 ( nf /2) RT =3 PV +4 ( f /2) PV =3 PV +4 f =6+(8/ PV ) Since degree of freedom is more than 6 therefore gas is polyatomic

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

Diatomic only

Polyatomic only

Either monoatomic or diatomic

Monoatomic only

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

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