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Question: A gas expands adiabatically at constant pressure such that T \(\propto\) V–1/2. The value of \(\gamm...

A gas expands adiabatically at constant pressure such that T \propto V–1/2. The value of γ\gamma (Cp,m/Cv,m) of the gas will be :

A

1.30

B

1.50

C

1.70

D

2

Answer

1.50

Explanation

Solution

T 1V\propto \frac{1}{\sqrt{V}}; TV1/2 = constant

For adiabatic process,TVγ1TV^{\gamma - 1}= constant \therefore

γ1\gamma - 1= 12\frac{1}{2},γ\gamma =32\frac{3}{2}