Chapter 14.1, Problem 5LC

Interpretation Introduction

Interpretation: To determine the volume change to reduce final pressure to its one fourth at a constant temperature.

Concept Introduction: Boyle's law gave the relationship between pressure and volume. According to this law $\text{PV}\text{=}\text{K}$ , where, P is pressure, V is volume and K is a constant.

Answer to Problem 5LC

Increase the volume four times.

Explanation of Solution

It is known that pressure and volume will have an inverse relation since, increasing the temperature, the amount of volume will be decreased.

When pressure will be one-quarter of its original value then the volume will be increased by 4 factor as shown

  $\begin{array}{c}{P}_1{V}_1=P_2{V}_2\\ \bcancel{P_1}{V}_1=\frac{\bcancel{P_1}}{4}{V}_2\\ V_2=4V_1\end{array}$

Thus, increase the volume four times.