Question

P-V diagram of a diatomic gas is a straight line passing through origin. What is the molar heat capacity of the gas in the process?

• A. R
• B. 2 R
• C. 3.33 K
• D. 3 R

Answer 1

The correct option is D 3 R

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

Hence,$P\propto V$

$\Rightarrow P{V}^{-1}=$constant.

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

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

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

$=\frac{R}{0.4}+\frac{R}{2}$

$=\frac{10R}{4}+\frac{R}{2}$

$=\frac{5R}{2}+\frac{R}{2}=3R$