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 . The rms 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`