Question

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

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

Answer 1

The correct option is D R

Given that,

Given that,

$P{V}^3=cons\tan t$

We know that,

$P{V}^{\gamma }=cons\tan t$

Now, $n=3$

Now, the heat capacity for monoatomic

$c=c_v+\frac{R}{(1-n)}$

$c=\frac{3R}{2}-\frac{R}{2}$

$c=\frac{2R}{2}$

$c=R$

Hence, the heat capacity of the gas is $R$