Question

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
A. `((v_1 + v_2))/(2)`
B. `V_1`
C. `sqrt(v_1 v_2)`
D. None of these

Answer 1

Correct Answer - B
`v_(av) = sqrt((8 R T) /(pi M))`
(T) and (M) are same. Hence, average speed of `O_(2) molecules in both vessels will remain same or `v_(1)`.