Chapter 12.1, Problem 13SSC

Interpretation Introduction

Interpretation:

The effect of temperature in the diffusion rate of the gas needs to be explained.

Concept introduction:

According to the Graham’s law of effusion, rate of effusion of any gas is always inversely proportional to the square root of the mass of gaseous particles. The mathematical expression for this law is:

$\frac{\text{Rate of effusion of gas 1}}{\text{Rate of effusion of gas 2}}\text{=}\sqrt{\frac{\text{M2}}{\text{M1}}}$

Answer to Problem 13SSC

The rate of effusion of gases is directly proportional to the temperature of it.

Explanation of Solution

Due to high kinetic energy, gases can diffuse and effuse. The diffusion of gases is the dispersion of particles throughout a container whereas effusion occurs through an opening. The relation of effusion and diffusion of gases can explain with the help of Graham’s law.

As the temperature increases, the kinetic energy of gaseous particles also increases. It increases the rate of effusion of gases. Thus, the rate of effusion of gases is directly proportional to the temperature of it.