For a diatomic gas,write the value of the rat | vedclass

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(B) The ratio of molar specific heat at constant pressure $(C_P)$ to molar specific heat at constant volume $(C_V)$ is known as the adiabatic index or

Vedclass · Accepted Answer

$1.40$

Vedclass · Answer

(B) The ratio of molar specific heat at constant pressure $(C_P)$ to molar specific heat at constant volume $(C_V)$ is known as the adiabatic index or the ratio of specific heats,denoted by $\gamma$.For an ideal gas,$\gamma = \frac{C_P}{C_V} = 1 + \frac{2}{f}$,where $f$ is the number of degrees of freedom.For a diatomic gas at room temperature,the number of degrees of freedom $f = 5$ ($3$ translational + $2$ rotational).Substituting the value of $f$ into the formula: $\gamma = 1 + \frac{2}{5} = 1 + 0.4 = 1.40$.Therefore,the ratio for a diatomic gas is $1.40$.

For a diatomic gas,write the value of the ratio of $C_P$ and $C_V$.

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