Kinetic Theory Of Gases Question 144
Question: 1 mole of a gas with $ \gamma =\text{7/5} $ is mixed with 1 mole of a gas with $ \gamma =5\text{/3,} $ then the value of $ \gamma $ for the resulting mixture is
Options:
A) 7/5
B) 2/5
C) 3/2
D) 12/7
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ {\gamma _{mix}}=\frac{\frac{{\mu _{1}}{\gamma _{1}}}{{\gamma _{1}}-1}+\frac{{\mu _{2}}{\gamma _{2}}}{{\gamma _{2}}-1}}{\frac{{\mu _{1}}}{{\gamma _{1}}-1}+\frac{{\mu _{2}}}{{\gamma _{2}}-1}}, $ Here $ {\mu _{1}}={\mu _{2}}=1;{\gamma _{1}}=\frac{7}{5} $ and $ {\gamma _{2}}=\frac{5}{3} $
$ \
Therefore $ $ {\gamma _{mix}}=\frac{3}{2} $
BETA
