Question

If pressure-volume diagram of a diatomic gas is plotted, it is a straight line passing through origin. The molar heat capacity of the gas in the process in $nR$ where $n$ is an integer. Find value of $n$.

• A. $3$
• B. $5$
• C. $7$
• D. $9$

Answer 1

The correct option is A $3$

P-V diagram is a straight line passing through the origin. Hence $P\propto V$

$⟹P{V}^{-1}=constant$

Molar heat capacity for $P{V}^x=cosntant$ is

$C=\frac{R}{\gamma -1}+\frac{R}{1-x}$ Here ($x=-1$

$=\frac{R}{1.4-1}+\frac{R}{1+1}=3R$