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Byju's Answer

Standard XII

Chemistry

Molecular Speeds - Vrms, Vavg, Vmps

Three closed ...

Question

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

\frac{u_{1} + u_{2}}{2}

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u_{1}

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\sqrt{4 u_{2}}

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\sqrt{\frac{3 R T}{M}}

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Solution

The correct option is A $u_{1}$
As we know,
$u_{A V} = \sqrt{\frac{8 R T}{π M}} = u_{1}$
As all containers are at same temperature so avg. velocity of $O_{2}$ in C is
$u_{A V} = \sqrt{\frac{8 R T}{π M}} = u_{1}$

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