A closed vessel contains a mixture of two diatomic gases `A` and `B`. Molar mass of `A` is 16 times that of `B` and mass of gas `A` contained in the vessel is 2 times that of `B`. Which of the following statements are correct ?

Options

A. Average kinetic energy per molecules of `A` is equal to that of `B`
B. Root mean square value of translational velocity of `B` is four times that of `A`
C. Pressure exerted by `B` is eight times of that exerted by `A`
D. Number of molecules of `B` in the cylinder is eight times that of `A`

Answer

A, B, C, D

Explanation

Average `KE` per molecules in `A` & `B` = `(4KT)/(pi)`
`(V_(rms))_(A) = sqrt((3RT)/(M_(A))) , (V_(rms))_(B) = sqrt((3RT)/(M_(B)))`
` implies ((V_("rms"))_(A))/((V_("rms"))_(B)) = sqrt((M_(B))/(M_(A))) = sqrt((M_(B))/(16M_(B))) = (1)/(4)`
No. of moles of `A` = `(m_(A))/(M_(A))`
No. of moles of `B = (m_(B))/(M_(B)) = (m_(A//2))/(M_(A//16)) = 8n_(A)`
Pressure exerted by a gas in the vessel depends on the number of molecules present inside.