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Q. For adiabatic process $ \left( \gamma \frac{{{C}_{p}}}{{{C}_{v}}} \right) $

MGIMS WardhaMGIMS Wardha 2011

Solution:

For adiabatic process $ p{{V}^{\gamma }}=cons\tan t $ From $ pV=RT $ $ p=\frac{RT}{V} $ $ \therefore $ $ \frac{RT}{V}{{V}^{\gamma }}=cons\tan t $ $ T{{V}^{\gamma -1}}=cons\tan t $