$C_{V}$ and $C_{P}$ denote the molar heat capacities of an ideal gas at constant volume and at constant pressure respectively then,

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$\frac{C_{P}}{C_{V}}$ is larger for a polyatomic ideal gas than for a diatomic ideal gas

$C_{P} . C_{V}$ is larger for a diatomic ideal gas than for a mono atomic ideal gas

$C_{P} + C_{V}$ is larger for a diatomic ideal gas than for a mono atomic ideal gas.

$C_{P} - C_{V}$ is larger for a polyatomic ideal gas than for a mono atomic ideal gas

answer is B, D.

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Detailed Solution

For monoatomic gas, $C_{p} = \frac{5}{2} R$ for polyatomic gas $C_{v} = 3 R$ ,    $C_{P} = 4 R$
And    $C_{v} = \frac{3}{2} R$
For diatomic gas,    $C_{p} = \frac{7}{2} R$
And    $C_{v} = \frac{5}{2} R$

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