Chapter 14.2, Problem 17LC

Interpretation Introduction

Interpretation: To determine how are the pressure and volume of a gas related at a constant temperature.

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 17LC

Pressure and volume are inversely proportional to each other.

Explanation of Solution

The formula gave the relation between the pressure, volume, temperature as well as the number of moles. 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.

From the above expression, if temperature and no. of moles are kept constant, then,

  $\text{P}\propto \frac{1}{\text{V}}$

Thus, pressure is inversely proportional to volume.