Chapter U3, Problem 13RE

Interpretation Introduction

Interpretation :

All the Gas laws must be explained along with the parameters which must be kept constant.

Concept Introduction :

Gas laws explain the relationship among pressure, temperature volume and mole number of a gas.

Answer to Problem 13RE

Boyle’s law states that at constant temperature (T) volume (V) of a gas with definite mass (m) is inversely proportional to the applied pressure (P).

Charles’ law states that at constant pressure volume of a gas with definite mass is proportional to absolute temperature.

Gay-Lussac’s law states that at constant volume pressure of a gas with definite mass is proportional to the absolute temperature.

Explanation of Solution

Mathematical form of Boyle’s law is given below.

  $\begin{array}{l}\text{Vα}\frac{\text{1}}{\text{P}}\\ \text{m, T}\end{array}$

Where m and T fixed.

Mathematical form of Charles’ law is given below.

  $\begin{array}{l}\text{VαT}\\ \text{m, P}\end{array}$

Where m and P fixed.

Gay-Lussac law is given below.

  $\begin{array}{l}\text{PαT}\\ \text{m, V}\end{array}$

Where m and V fixed.