Chapter 5, Problem 5.150QP

Interpretation Introduction

Interpretation:

The change in temperature of a container containing a sample of carbon dioxide gas when the volume is reduced to $\frac{\text{1}}{\text{3}}$ of its original volume and pressure doubles should be explained.

Concept Introduction:

Boyle’s law:  According to Boyle’s law, pressure and volume are inversely proportional to each other at a given temperature.

$\begin{array}{l}\text{PV}\text{=}\text{Constant }\mathrm{...}\text{(1)}\\ \text{or}\\ \text{ Vα}\frac{\text{1}}{\text{P}}\end{array}$

Where,

P = Pressure

V = Volume

Charles law: According to Charles law, temperature and volume are directly proportional to each other at a constant pressure.

$\begin{array}{l}\text{VαT(at}\text{a}\text{constant}\text{pressure) }\mathrm{...}\text{(2)}\\ \text{or}\\ \frac{\text{V}}{\text{T}}\text{=}\text{C}\end{array}$

Where,

T = Temperature

V = Volume.