Write definitions of molar specific heat at constant pressure and constant volume.

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(N/A) $1$. Molar specific heat at constant volume $(C_V)$: It is defined as the amount of heat required to raise the temperature of $1 \text{ mole}$ of a gas by $1 \text{ K}$ (or $1^{\circ}\text{C}$) while keeping its volume constant.
$2$. Molar specific heat at constant pressure $(C_P)$: It is defined as the amount of heat required to raise the temperature of $1 \text{ mole}$ of a gas by $1 \text{ K}$ (or $1^{\circ}\text{C}$) while keeping its pressure constant.

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For a gas,the difference between the two specific heats is $4150 \ J/kg \ K$. What is the specific heat at constant volume of the gas if the ratio of specific heats is $1.4$ (in $J/kg \ K$)?

Statement $A: C_P - C_V = R$
Statement $B: \frac{C_P}{C_V} = 1.67$

For a gas,the difference between the two specific heats is $4150 \ J \ kg^{-1} \ K^{-1}$ and the ratio of the two specific heats is $1.4$. What is the specific heat of the gas at constant volume in units of $J \ kg^{-1} \ K^{-1}$?

For hydrogen gas $C_p - C_v = a$ and for oxygen gas $C_p - C_v = b$. The relation between $a$ and $b$ is given by:

If for a gas $\frac{R}{C_V} = 0.67$,then the gas is .......

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