Chapter 13.5, Problem 13.7SC

Interpretation Introduction

Interpretation:

The volume of methane gas should be determined when the gas with a volume of 3.8 L at 5° C is heated to 86° C at constant pressure.

Concept introduction:

The new volume of methane gas in this case can be determined using Charles law. Charles law states that the volume of a given amount of gas has direct relation with the temperature in Kelvin at constant pressure. This law is also known as Temperature-Volume Law

$\begin{array}{l}\text{V}\text{α}\text{T}\\ \frac{\text{V}}{\text{T}}\text{=constant}\end{array}$

The increase in volume, results in increase in temperature, and vice-versa.

In case of initial and final volumes and temperatures under constant pressure, the formula is given by:

$\frac{{\text{V}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{V}}_{\text{2}}}{{\text{T}}_{\text{2}}}$.