First of all write the molar masses of Gases,
Molar Mass of Cl₂ = 71 g/mol
Molar Mass of Ethane = 30 g/mol
According to Graham's Law of Diffusion,
[tex] \frac{Rate of diffusion of Light Gas}{Rate of Diffusion of Heavy Gas} [/tex] = [tex] \sqrt{M.mass of Heavy / M.mass of Light} [/tex]
[tex] \frac{Rate of diffusion of Light Gas}{Rate of Diffusion of Heavy Gas} [/tex] = [tex] \sqrt{71 g/mol / 30 g/mol} [/tex]
[tex] \frac{Rate of diffusion of Light Gas}{Rate of Diffusion of Heavy Gas} [/tex] = [tex] \sqrt{2.366} [/tex]
[tex] \frac{Rate of diffusion of Light Gas}{Rate of Diffusion of Heavy Gas} [/tex] = 1.53
Result:
So, Ethane gas will diffuse or move 1.53 time faster than Chlorine gas.
