derivation of Cp and Cv relation..through intigration..
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The specific heat of gas at constant volume in terms of degree of freedom 'f' is given as: Cv = (f/2) R. So, we can also say that, Cp/Cv = (1 + 2/f), where f is degree of freedom. Monoatomic gas has only one translational motion, hence three translational degrees of freedom.
Explanation:
cp = cv + R
The specific heat constants for constant pressure and constant volume processes are related to the gas constant for a given gas. This rather remarkable result has been derived from thermodynamic relations, which are based on observations of physical systems and processes.
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