Q. One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas. The molar specific heat of the mixture at constant volume is
A) $\left( \frac{3}{2} \right)R$
B) $\left( \frac{5}{2} \right)R$
C) $2\ R$
D) $4\ R$
Explanation
(c) $C_{V} = \frac{n_{1}{C_{v}}_{1} + n_{2}{C_{V}}_{2}}{n_{1} + n_{2}}$
$\ \ \ \ \ \ = \frac{1 \times \frac{3}{2}R + 1 \times \frac{5}{2}R}{1 + 1} = 2R$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.