82. using the relation for the kinetic energy of a molecule of gas obtain law of equipartition of energy. obtain the value of the specific heat capacity ratio (Y=Cp/Cv) for diatomic gas applying this law.

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In a gas of diatomic molecules, the ratio of the two specific heats of gas $\frac{C_{p}}{C_{v}}$ is

$C_{V}$ and $C_{P}$ denote the molar specific heat capacities of a gas at constant volume and constant pressure,respectively. Then

The energy for each degree of freedom in thermal equilibrium is 1/2k_BT. This is

C_{P} - C_{V} = a

C_{P} - C_{V} = b

a

b

C_{P}

C_{V}

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