Shows a vessel partitioned by a fixed diathermoc separator. Different ideal gases are filled in the two parts. The rms speed of the molecules in the left part is the mean speed of the molecules in the right part. Calculate the ratio of the mass of a molecule in the left part to the mass of a molecule in thej right part.

Explanation

The leftside of the container has a gas
having a molecular` weight=M_1` and right
part has molecular `weight=M_2`
The temperature of both left and right chambers are equal since the separator is diathermic
` (sqrt(3RT))/(sqrt(M_1)) = (sqrt(8RT))/(sqrt(pi M_2))`
` rArr (3RT)/M_1 =(8RT)/(pi M_2)`
` rArr (M_1)/(pi M_2) = 3/8 `
` rArr (M_1)/(M_2)=(3 pi/8) =1.1775 =1.18`