Ne effuses at a rate that is 2.05 times that of Kr under the same conditions
According to Graham's Law of Effusion, "the rate of effusion of a gas is inversely proportional to the square root of its density or molar mass".
Mathematically,
Rₐ / Rₓ = [tex]\sqrt{Mx / Ma}[/tex] ----- (1)
Where;
Rₐ = Rate of effusion of Ne
Rₓ = Rate of effusion of Kr
Mₐ = Molar Mass of Ne = 20.18 g.mol⁻¹
Mₓ = Molar Mass of Kr = 84.80 g.mol⁻¹
Putting values in equation 1,
Rₐ / Rₓ = [tex]\sqrt{84.80 / 20.18}[/tex]
Rₐ / Rₓ = [tex]\sqrt{4.20}[/tex]
Rₐ / Rₓ = 2.05
Hence, Ne effuses 2.05 times faster than Kr.