Chapter 12, Problem 50A

Interpretation Introduction

Interpretation:

The result when the stopcock between two bulbs containing chlorine gas and nitrogen gas is opened must be explained.

Concept introduction:

As per Graham’s gas diffusion law, rate of diffusion of a gas in inversely proportional to the square root of the molecular weight of the gas.

Answer to Problem 50A

Nitrogen gas will move more towards the bulb containing chlorine gas.

Explanation of Solution

Molar mass of nitrogen and chlorine gases are 28 and 71 respectively.

Thus ratio of diffusion rate of N₂:Cl₂$=\sqrt{\raisebox{1ex}{$71$}\!\left/ \!\raisebox{-1ex}{$28$}\right.}=\mathrm{1.6.}$

As diffusion rate of nitrogen is 1.6 times faster as compared to chlorine gas, so nitrogen gas will reach to the bulb containing chlorine gas.

Conclusion

Nitrogen gas will diffuse more towards the chlorine gas.