Question

The rate of diffusion of a gas is \( r \) and its density is \( d \), then under similar conditions of pressure and temperature:

• A. \( r \propto d \)
• B. \( r \propto \sqrt{d} \)
• C. \( r \propto \frac{1}{d} \)
• D. \( r \propto \frac{1}{\sqrt{d}} \)

Hint:

According to Graham's law, lighter gases diffuse faster than heavier gases because their rate of diffusion is inversely proportional to the square root of their density.

Answer 1

The Correct Option is D

Graham's law of diffusion states that the rate of diffusion \( r \) of a gas is inversely proportional to the square root of its density \( d \). Mathematically, this is expressed as: \[ r \propto \frac{1}{\sqrt{d}} \] Thus, the rate of diffusion decreases as the density of the gas increases, under the same temperature and pressure conditions.