Chapter 14, Problem 69A

Interpretation Introduction

Interpretation:

Volume of 5% HCl solution madefrom 25 mL of HCl has to be calculated.

Concept introduction:

Composition of a solution can be defined by expressing its concentration. The concentrations of solutions can be expressed in different ways, which are involved in the quantity of solute and the quantity of solution or solvent. Various methods are used to describe the concentration of the solution quantitatively. Some commonly used quantitative concentration terms are percent by mass, percent by volume, molarity, molality and mole fraction.

Volume/volume percentage (v/V percent): Percent by volume is expressed as the ratio of the volume of the solute to the total volume of the solution multiplied by 100. This is used when both chemicals in a solution are liquid.

In expression,

$\mathrm{Volume}percentage\left(v/V\right)\%ofacomponent=\frac{Volumeof the solute}{Total volume of the solution}\times 100$

Answer to Problem 69A

500 mL of 5% HCl solution can be madefrom 25 mL of HCl.

$\mathrm{Volume}percentage\left(v/V\right)\%ofacomponent=\frac{Volumeof the solute}{Total volume of the solution}\times 100$

Data given: Volume of the solute (HCl) = 25 mL

Volume concentration or volume percentage = 5 %

$\begin{array}{l}Volumepercentage=\frac{Volumeof thesolute}{Total volume of the solution}\times 100\\ Volumepercentage=\frac{Volumeof HCl}{Total volume of the solution}\times 100\\ Total volume of the solution=\frac{25mL}{5}\times 100=500mL\end{array}$

Explanation of Solution

$\mathrm{Volume}percentage\left(v/V\right)\%ofacomponent=\frac{Volumeof the solute}{Total volume of the solution}\times 100$

Data given: Volume of the solute (HCl) = 25 mL

Volume concentration or volume percentage = 5 %

$\begin{array}{l}Volumepercentage=\frac{Volumeof thesolute}{Total volume of the solution}\times 100\\ Volumepercentage=\frac{Volumeof HCl}{Total volume of the solution}\times 100\\ Total volume of the solution=\frac{25mL}{5}\times 100=500mL\end{array}$