Question

How much faster does helium escape through a porous container than ozone?

Answer 1

According to Graham's Law ," the rates of effusion or diffusion of two gases are inversely proportional to the square root of their molecular masses at given pressure and temperature".

                                r₁ / r₂  =  $\sqrt{M2 / M1}$   ---- (1)

r₁    =  Rate of effusion of He

r₂    =  Rate of Effusion of O₃

M₁  =  Molecular Mass of He  =  4 g/mol

M₂  =  Molecular Mass of O₃  =  48 g/mol

Putting values in eq. 1,

                                r₁ / r₂  =  $\sqrt{48 / 4}$

                                r₁ / r₂  =  $\sqrt{12}$

                                r₁ / r₂  =  3.46

Result:
          Therefore, Helium will effuse 3.46 times more faster than Ozone.