Chapter 14.2, Problem 19LC

Interpretation Introduction

Interpretation: To determine the relationship between the temperature and pressure at a constant volume.

Concept Introduction: Ideal gas equation give the relation between temperature, pressure, and volume. The ideal gas equation can be shown as $\text{PV}\text{=}\text{nRT}$

Answer to Problem 19LC

The expression which shows the relationship between pressure and temperature at a constant volume will be $\frac{{\text{P}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}}{{\text{T}}_{\text{2}}}$

Explanation of Solution

The formula which gave the relation between the pressure, volume, temperature as well as the number of moles, is named the ideal gas equation. It can be represented by $\text{PV}\text{=}\text{nRT}$ .

Where P is pressure, V is volume, T is temperature and n is the number of moles.

When volume will be kept constant then the new expression will be

  $\frac{{\text{P}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{P}}_{\text{2}}}{{\text{T}}_{\text{2}}}$

Where, ${\text{P}}_{\text{1}}$ is initial pressure, ${\text{P}}_{\text{2}}$ is final pressure, ${\text{T}}_{\text{1}}$ is initial temperature, ${\text{T}}_{\text{2}}$ is final temperature.