Chapter 15, Problem 14A

Interpretation Introduction

Interpretation:

The mass percent of KCl solution 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.

Mass percentage or percent by mass (w/W %): The mass percentage of a component of a solution is defined as:

  $\mathrm{Mass}\%ofacomponent=\frac{Mass of the component in the solution}{Total mass of the solution}\times 100$

Answer to Problem 14A

The mass percent of KCl solution is 3.39%.

  $\mathrm{Mass}\%ofacomponent=\frac{Mass of the component in the solution}{Total mass of the solution}\times 100$

Data given: Mass of KCl = 5.34 gm

Mas of the solvent water = 152 gm

Total mass of KCl solution = (152 + 5.34) gm = 157.34 gm

  $\begin{array}{l}Masspercent=\frac{Massof KClinthesolution}{Total mass of the solution}\times 100\\ Masspercent=\frac{Massof KClinthesolution}{Total mass of the solution}\times 100\\ MasspercentofKCl=\frac{5.34gm}{157.34gm}\times 100=3.39\%\end{array}$

Explanation of Solution

  $\mathrm{Mass}\%ofacomponent=\frac{Mass of the component in the solution}{Total mass of the solution}\times 100$

Data given: Mass of KCl = 5.34 gm

Mas of the solvent water = 152 gm

Total mass of KCl solution = (152 + 5.34) gm = 157.34 gm

  $\begin{array}{l}Masspercent=\frac{Massof KClinthesolution}{Total mass of the solution}\times 100\\ Masspercent=\frac{Massof KClinthesolution}{Total mass of the solution}\times 100\\ MasspercentofKCl=\frac{5.34gm}{157.34gm}\times 100=3.39\%\end{array}$