Three closed vessels A, B and C are at the same temperature T and contain gasses which obey the Maxwellian distribution of velocities. Vessel A contain only `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 us `v_2,` the average speed of the `O_2` molecules in vessel C is

Options

A. `(v_1+v_2)/2`
B. `v_1`
C. `(v_1v_2)^(1/2)`
D. `sqrt((3kT)/M)`

Answer

B

Explanation

(b) All three vessels are at same temperature.
According to Maxwell's distrubution of speed, average
speed of molecules of a gas `vpropsqrtT.`
`:.` The velocity of oxygen molecules will be same in
A as well as C.