Chapter 8, Problem 8.91AP

Summary Introduction

To determine:

The dilution factor of the solution if $\text{100}\text{mL}$ of a $50\%$ solution is diluted to $1\text{L}$.

Introduction:

Dilution of a solution means decreasing the concentration of the solution. By adding extra volume of the solution, the concentration of the solute decreases in the solution.

Dilution factor is the ratio of final volume of the solution to the initial volume of solution.

The dilution factor is given by the expression,

$\text{Dilution}\text{factor}=\frac{\text{Final}\text{Volume}\text{of}\text{solution}}{\text{Intial}\text{volume}\text{of}\text{solution}}$

Summary Introduction

To determine:

The concentration of final solution if $\text{100}\text{mL}$ of a $50\%$ solution is diluted to $1\text{L}$.

Introduction:

The relation between the volume of solution and concentration is given by the expression,

$\begin{array}{c}\left(\text{Initial}\text{concentration}\right)\left(\text{Initial}\text{volume}\text{of}\text{solution}\right)=\left(\text{Final}\text{concentration}\right)\\ \left(\text{Final}\text{volume}\text{of}\text{solution}\right)\end{array}$

The concentration of final solution is given by the expression,

$\text{Concentration}\text{of}\text{final}\text{solution}=\frac{\left(\text{Initial}\text{concentration}\right)\left(\text{Initial}\text{volume}\text{of}\text{solution}\right)}{\left(\text{Final}\text{volume}\text{of}\text{solution}\right)}$