Question

The rate of diffusion of methane is twice that x .The molecular mass of x is what ?

Answer 1

Rate of diffusion is inversely proportional to square root of molecular mass

R.d of CH4=2×R.d of X

Molecular mass of CH4=16
M.mass of X=?

2×R.d of x/R.d of x=square root of x/16

sending the root to left side it becomes square of 2 giving 4

4=x/16

X=16×4=64

molecular mass of X will be 64

Answer 2

Answer:

64

Explanation:

Let rate of diffusion of gas x, r1 = a

Therefore, rate of diffusion of methane,r2 = 2 a

According to Graham's Law of Diffusion

r1/r2= √ M2/M1.

M1 = Molecular mass of gas

M2 = Molecular mass of Methane= 16g.Therefore,

a/2a=√16/M2

Squaring both the sides,

1/4=16/M2 or,

M2 = 16×4=64 g