state the law of equipartition of energy and prove that for a diatomic gas the ratio of the two specific heat at room temperature is 7/5
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For a system in thermal equilibrium ,the law of equipartition of energy states that the total energy for the system is equally divided among the degree of freedom.
Explanation:
1/2M(Vrms)²=3/2KT.
For a diatomic gas,
Cp=Cv +R
Molar heat capacity at constant pressure,Cp=7/2 R
Molar heat capacity at constant volume,Cv=5/2 R
∴Cp/Cv= =7/5
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