Question

p-V diagram of a diagram gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be

• A. 4 R
• B. 3 R
• C. 4 R/3
• D. 2.5 R

Answer 1

The correct option is B 3 R

$\text{Given:-}$ P - V diagram of a diatomic gas is a straight line passing through origin.

$\text{Solution:-}$

$P\propto V$

$P{V}^{-1}=constant$

Molar heat capacity for

$P{V}^x=constant$

$x=-1$

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

$C=\frac{R}{1.4-1}+\frac{R}{1+1}=\frac{5R}{2}+\frac{R}{2}$

$C=\frac{6R}{2}=3R$

$\text{Hence the correct option is B}$