Question

At constant temperature and pressure the rate of diffusion of the gases is inversely proportional to the square root of their densities.

• A. True
• B. False

Answer 1

The correct option is A True

At constant temperature and pressure, the rate of diffusion of the gases is inversely proportional to the square root of their densities.

Because diffusion coefficient, $D=$ $\frac{1}{3}\sqrt{\frac{8kT}{\pi m}}\cdot \frac{1}{\sqrt{2}\pi {\sigma }^{2}P}$

$\therefore D\propto \frac{1}{\sqrt{m}}$ (at constant temperature and pressure)

In other way, $D\propto \frac{1}{\sqrt{M}}$ ($M=$ Molecular mass)

Therefore, $D\propto \frac{1}{\sqrt{d}}$ ($d=$ density)