Kinetic Theory Of Gases Question 89
Question: A mixture of ideal gases $ N _{2} $ and He are taken in the mass ratio of 14 : 1 respectively Molar heat capacity of the mixture at constant pressure is
Options:
A) 6R/19
B) 13R/6
C) 6R/13
D) 19R/6
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ \frac{{M _{N _{2}}}}{{M _{H _{2}}}}=\frac{14}{1}{M _{N _{2}}}=14m\text{ and }{{\text{M}} _{H _{e}}}=m $
$ C _{p}=\frac{n _{1}{C _{p _{1}}}+n _{2}{C _{p _{2}}}}{n _{1}+n _{2}}=\frac{\frac{14m}{28}\times \frac{7}{2}R+\frac{m}{4}\times \frac{5}{2}R}{\frac{14m}{28}+\frac{m}{4}} $
$ =\frac{2\times \frac{7}{2}R+\frac{5}{2}R}{2+1}=\frac{7R+\frac{5}{2}R}{3}=\frac{19R}{6} $
BETA
