Chapter 16.2, Problem 17SP

Interpretation Introduction

Interpretation: The volume of $\text{H2O2}$ in a $400.0$ mL of the solution is to be calculated.

Concept introduction: Volume percentage is a way in which the concentration of a liquid is expressed. The system given in the question is liquid in liquid, therefore, the concentration is expressed in volume percentage.

Answer to Problem 17SP

The volume of $\text{H2O2}$ in a $400.0$ mL of the solution is $12$ mL.

Explanation of Solution

The concentration of a solution can be expressed in different ways such as molarity, normality, molality, mass percentage, and volume percentage. These terms are widely used to express concentration. In the case of a solid in a liquid system, the mass percentage is used but in the case of a liquid in liquid concentration, the volume percentage is used. The system given in the question is liquid in liquid therefore, volume percentage is used here.

The data given in the question to find out the volume of $\text{H2O2}$ is as follows:

The concentration on an antiseptic bottle is given as $3.0\%(\text{v/v)}$ .

• Total volume of the solution is $400.0$ mL
• The concentration $3.0\%(\text{v/v)}$ means that $3$ mL $\text{H2O2}$ in $100$ mL of solution.

Hence, in $400.0$ mL of solution, the volume of $\text{H2O2}$ present is:

  $3\text{ mL }\times \text{ 4 mL = 12 mL}$

Therefore, $\text{12 mL}$

  $\text{H2O2}$ is present in $400.0$ mL of solution.

Conclusion

The volume of $\text{H2O2}$ in a $400.0$ mL of the solution is $12$ mL.