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} $
