60 ~cm ^3 of SO ₂ gas diffused through a porous membrane in ' x ' min. Under similar conditions 360 ~cm ^3 of another gas (molar mass 4 ~g ~mol ⁻¹ ) diffused ' y ' min. The ratio of x and y is

Step-by-step solution

aligned V ₁ & =60 ~cm ^3, M ₁=64, t ₁= x ~V ₂ & =360 ~cm ^3, M ₂=4, t ₂= y aligned rate of diffusion, aligned & r= V t = volume of gas diffused Time taken for diffusion & r₁ r₂ = M₂ M₁ = v₁ t₂ v₂ t t₁ & 4 64 = 60 360 y x & or, 1 4 6= y x & y x = 3 2 x y = 2 3 aligned