Chemical Thermodynamics Question 338

Question: A gas expands adiabatically at constant pressure such that $ T\propto {{V}^{-1/2}} $ . The value of $ \gamma ({C_{p,m}}/{C_{V,m}}) $ of the gas will be:

Options:

A) 1.30

B) 1.50

C) 1.70

D) 2

Show Answer

Answer:

Correct Answer: B

Solution:

$ T\propto \frac{1}{\sqrt{V}};T{{V}^{1/2}}= $ constant For adiabatic process, $ T{{V}^{\gamma -1}} $ = constant
$ \therefore \gamma -1=\frac{1}{2},,\gamma =\frac{3}{2} $



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