Question

One mole of an ideal monoatomic gas undergoes a process described by the equation $P{V}^3$ = constant. The heat capacity of the gas during this process is:

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

Answer 1

The correct option is A

R

$P{V}^3$ = constant
$C=C_V+\frac{R}{1-x}$
x=3
$C=\frac{3}{2}R+\frac{R}{1-3}\therefore C_v=\frac{3}{2}R$
For monoatomic
$C=\frac{3R}{2}-\frac{R}{2}C=R$