Question

The gas that has the higher rate of diffusion among the following is:

• A. $He$ at $100K$
• B. $C{H}_4$ at $480K$
• C. $N_2$ at $280K$
• D. $O_2$ at $320K$

Answer 1

The correct option is B $C{H}_4$ at $480K$

We know,
Rate of diffusion $\propto \sqrt{\frac{T}{\text{Molar mass}}}$
a) Rate of diffusion of $He\propto \sqrt{\frac{100}{4}}\propto \sqrt{25}$
b) Rate of diffusion of $C{H}_4\propto \sqrt{\frac{480}{16}}\propto \sqrt{30}$
c) Rate of diffusion of $N_2\propto \sqrt{\frac{280}{28}}\propto \sqrt{10}$
d) Rate of diffusion of $O_2\propto \sqrt{\frac{320}{32}}\propto \sqrt{10}$