Chapter 14, Problem 1STP

Interpretation Introduction

Interpretation: To determine the amount of volume.

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

Answer to Problem 1STP

The new volume will be 60 mL.

Explanation of Solution

The given data:

  ${\text{V}}_{\text{1}}$ = 120mL

  ${\text{V}}_{\text{2}}$ =?

  ${\text{T}}_{\text{1}}$ = $-{123}^{\text{ο}}\text{C+273}\text{=}150\text{K}$

  ${\text{T}}_2$ = ${27}^{\text{ο}}\text{C+273}\text{=}300\text{K}$

Put the values of the given data in equation (i).

  $\begin{array}{c}\frac{{\text{V}}_{\text{1}}}{{\text{T}}_{\text{1}}}\text{=}\frac{{\text{V}}_{\text{2}}}{{\text{T}}_{\text{2}}}\\ {\text{V}}_{\text{2}}\text{=}\frac{{\text{V}}_{\text{1}}{\text{T}}_{\text{2}}}{{\text{T}}_{\text{1}}}\\ {\text{V}}_{\text{2}}\text{=}\frac{\text{120×150}}{300}\\ =\text{60mL}\end{array}$

Therefore, the new volume will be 60 mL