Question

A certain amount of ideal monoatomic gas undergoes, process given by $U{V}^{\frac{1}{2}}=C$ where U is the internal energy of the gas. The molar specific heat of the gas for the process will be (C = constant)

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

Answer 1

The correct option is D $\frac{-R}{2}$

Process is $T{V}^{\frac{1}{2}}=C\Rightarrow x=\frac{2}{3}$
$C=\frac{R}{\gamma -1}+\frac{R}{1-x}=\frac{-R}{2}$