Question

For an ideal monoatomic gas during any process $T=kV$, find out the molar heat capacity of the gas during the process. (Assume vibrational degree of freedom, to be active)

• A. $\frac{5}{2}R$
• B. $3R$
• C. $\frac{7}{2}R$
• D. $4R$

Answer 1

The correct option is A $\frac{5}{2}R$

Solution:- (A) $\frac{5}{2}R$

Given:-

$T=kV$, i.e.,

$T\propto V$

This means the pressure is constant.

Hence the molar heat capacity of the gas during the process will be equal to molar heat capacity at constant pressure.

Given that the gas is monoatomic.

As we know that the molar heat capacity at constant pressure for a monoatomic gas is $\frac{5}{2}R$.

Thus the molar heat capacity of the gas during the process is $\frac{5}{2}R$.