Question

Monoatomic ideal gas undergoes a process in which ratio of p to v at any instant is constabt and ewual to unity molar heat capacity

Answer 1

As given,
P/V = Cons.

using,
PV=nRT

PnRTV/V = Cons.
PV = Constant.

The above is Known as Polytropic Process.
and for Polytropic process, P×V^x = Cons.

Here X = 1.

Molar heat capacity for Polytropic process is given as,
C = R/ g-1 + R/1-x

Here g = gamma
for monoatomic gas g= 5/3.

Substitute values of g and X to get Molar heat capacity in terms of R( Universal gas constant).

Hope you get your answer.