A) \[\sqrt{2/7}\]
B) \[\sqrt{1/7}\]
C) \[\sqrt{3}/5\]
D) \[\sqrt{6}/5\]
Correct Answer: C
Solution :
Velocity of sound in gas \[v=\sqrt{\frac{\gamma RT}{M}}\] Þ \[v\propto \sqrt{\frac{\gamma T}{M}}\] Þ\[\frac{{{v}_{{{N}_{2}}}}}{{{v}_{He}}}=\sqrt{\frac{{{\gamma }_{{{N}_{2}}}}}{{{\gamma }_{He}}}\times \frac{{{M}_{He}}}{{{M}_{{{H}_{2}}}}}}=\sqrt{\frac{\frac{7}{5}R\times 4}{\frac{5}{3}R\times 28}}=\frac{\sqrt{3}}{5}\]
You need to login to perform this action.
You will be redirected in
3 sec
