Q. $C_{v}and\ C_{p}$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then
A) $C_{p} - C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
B) $C_{p} + C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
C) $\frac{C_{p}}{C_{v}}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
D) $C_{p}.C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
Explanation
(b) For monoatomic gas,
${\ \ \ \ \ \ \ \ \ \ \ \ \ \ C}_{P} = \frac{5}{2}R$
And $C_{V} = \frac{3}{2}R$
For diatomic gas,
${\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ C}_{P} = \frac{7}{2}R$
and $C_{V} = \frac{5}{2}R$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.