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Maxwell's Speed of Distribution Law

Three closed ...

Question

Three closed vessels A, B and C are at the same temperature T and contain gases which obey Maxwell distribution law of velocities. Vessel A contains $O_{2}$ , B only $N_{2}$ and C mixture of equal quantities of $O_{2}$ and $N_{2}$ . If the average speed of $O_{2}$ molecules in vessel A is $V_{1}$ and that of $N_{1}$ molecules in vessel B is $V_{2}$ , then the average speed of the $O_{2}$ molecules in vessel C is

A

\frac{(v_{1} + v_{2})}{2}

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B

V_{1}

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C

\sqrt{v_{1} v_{2}}

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D

None of these

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Solution

The correct option is A $V_{1}$
Vessel $A : - O_{2}$
$B : N_{2}$
$C : O_{2} + N_{2}$
Average speed of one species do not depend on the others
$∴$ avj. speed of $V_{2} = V_{1}$

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