Questions

Three closed vessels A, B and C are at the same temperature. Vessel A contains only O₂, B only N₂ and C a mixture of equal quantities of O₂ and N₂. If the average speed of O₂ molecule in vessel A is v₁, that of N₂ molecules in vessel B is v₂, the average speed of O₂ molecules in vessel C is

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detailed solution

Correct option is B

For a given M, Vav∝T. Since temperature of A and C is same, average velocity of molecules of O2 gas in A and C is also same.

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N molecules, each of mass m of gas A, and 2N molecules, each of mass 2m of gas B, are contained in the same vessel which is maintained at a temperature T. The mean square of the velocity of the molecules of B type is denoted by $v_{B}^{2}$ and the mean square of the x-component of the velocity of A type is denoted by $v_{A}^{2}$ . The ratio $\frac{v_{B}^{2}}{v_{A}^{2}} = \frac{N}{3}$ . Find N.