Question

$C_V$ and $C_P$ denote the molar specific heat capacities of a gas at constant volume and constant pressure,respectively. Then

• A. _- is larger for a diatomic ideal gas than for a monatomic ideal gas.
• B. ₊ is larger for a diatomic ideal gas than for a monatomic ideal gas
• C. is larger for a diatomic ideal gas than for a monatomic ideal gas
• D. . is larger for a diatomic ideal gas than for a monatomic ideal gas.

Answer 1

Answer: (B), (D)

The correct options are
B

₊ is larger for a diatomic ideal gas than for a monatomic ideal gas

D

. is larger for a diatomic ideal gas than for a monatomic ideal gas.

For a diatomic gas , $C_P$ + $C_V$ = $\frac{7R}{2}$ + $\frac{5R}{2}$ = 6R

For a mono atomic gas, $\frac{5R}{2}$ + $\frac{3R}{2}$ = 4R

$C_P\times C_V$ for diatomic gas = $\frac{35R^2}{4}$

And for mono atomic gas = $\frac{15R^2}{4}$

$\frac{C_P}{C_V}$ = 1 + $\frac{2}{f}$ is smaller for diatomic gas than for mono atomic gas.

$C_P$ _- $C_V$ = R