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Establish the relation between Y(=Cp/Cv) and degrees of freedom (n)?

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Now Y(=Cp/Cv)

Where CP = specific heat at constant pressure 

CV = Specific heat at constant volume. 

and n = Degrees of freedom → is the total number of co-ordinates or independent quantities required to describe completely the position and configuration of the system. 

Suppose, a polyatomic gas molecule has ‘n’ degrees of freedom.

∴ Total energy associated with a gram molecule of the gas i. e. 

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