Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A 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 $v_{1}$ , that of the $N_{2}$ molecules in vessel B is $v_{2}$ , then, average speed of the $O_{2}$ molecules in vessel C is :

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

${(V_{1} V_{2})}^{1 / 2}$

$V_{1}$

$\sqrt{3 k T / M}$

$\frac{(V_{1} + V_{2})}{2}$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A 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 $v_{1}$ , that of the $N_{2}$ molecules in vessel B is $v_{2}$ , then, average speed of the $O_{2}$ molecules in vessel C is $v_{1}$ .

Both $O_{2}$ and $N_{2}$ gases in vessel C will behave independently since, $V_{a v} = \sqrt{\frac{8 R T}{π M}}$ depends only on the temperature and mass of the gas molecule, there is no difference between the $V_{av}$ of $O_{2}$ in vessel A and C is $v_{1}$ .