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Mechanical Properties Of Fluids

Question
CBSEENPH11019534

Find the internal energy of V volume of gas at pressure P. The ratio of the specific heats is γ.

Solution
The internal energy of n moles of an ideal gas at temperature T is given by,
                       U = n CT

where,
 Cv is the molar specific heat at constant volume.
In terms of γ, the value of Cv can be written as


space space space space space space straight C subscript straight v equals fraction numerator straight R over denominator straight y minus 1 end fraction space

therefore space space space space straight U equals fraction numerator nRT over denominator straight y minus 1 end fraction

space space space space space space space space space space equals fraction numerator PV over denominator straight y minus 1 end fraction