Q50 / 268 · NTA Abhyas (NEET) 2020 · Physics · Thermodynamics

$C_{v}$ 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
Correct answer
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

Solution

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

Hence, the correct answer is option: 'B'.