According to Graham's Law of Diffusion,"the rates of diffusion of two gases are inversely proportional to the square root of their Molar masses or Densities at the same pressure and temperature".
r₁ / r₂ = [tex] \sqrt{M2 / M1} [/tex]
Where,
r₁ = Rate of Fluorine
r₂ = Rate of Bromine
M₂ = Molar mass of Bromine = 159.8 g/mol
M₁ = Molar mass of Fluorine = 37.98 g/mol
Putting values,
r₁ / r₂ = [tex] \sqrt{159.8 / 37.98} [/tex]
r₁ / r₂ = [tex] \sqrt{4.20} [/tex]
r₁ / r₂ = 2.04
Result:
Fluorine effuses 2 times faster than Bromine gas.
