Question

$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 smaller for a diatomic ideal gas than for a monoatomic ideal gas

Answer 1

Answer: (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 $C_{V}=\frac{5}{2}R$