Question

If methane and helium are allowed to diffuse out of a container under identical conditions of temperature and pressure, the ratio of rate of diffusion of methane to helium is:

• A. 4.0
• B. 2.0
• C. 1.0
• D. 0.5

Answer 1

The correct option is D

0.5

$R_{C{H}_4}$= Rate of diffusion of Methane

$R_{He}$ = Rate of diffusion of Helium

From Graham's law of diffusion,

$\frac{R_{C{H}_4}}{R_{He}}=\sqrt{\frac{M_{He}}{M_{C{H}_4}}}=\sqrt{\frac{4}{16}}=0.5$

The ratio is $\frac{RateofdiffusionofMethane}{RateofdiffusionofHelium}=1:2=0.5$