Kinetic Theory Of Gases Question 15
Question: Three closed vessels $ A $ , $ B $ and $ C $ are at the same temperature $ T $ and contain gases which obey the Maxwellian distribution of velocities. Vessel contains only $ O _{2} $ , $ B $ only $ N _{2} $ and $ C $ a mixture of equal quantities of $ O _{2} $ and $ N _{2} $ . If the average speed of the $ O _{2} $ molecules in vessel A is $ V _{2} $ that of the $ N _{3} $ molecules in vessel B is $ V _{2} $ , the average speed of the $ O _{2} $ molecules in vessel C is (where $ M $ is the mass of an oxygen molecule)
Options:
A) $ (V _{2}+V _{2})/2 $
B) $ V _{1} $
C) $ {{(V _{1}V _{2})}^{1/2}} $
D) $ \sqrt{3kT/M} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Average speed of gas molecule $ v _{av}=\sqrt{\frac{8kT}{\pi m}} $ . It depends on temperature and molecular mass. So the average speed of oxygen will be same in vessel A and vessel C and that is equal to $ V _{1}. $
BETA
