Chapter 4.8, Problem 1PPC

Interpretation Introduction

Interpretation:

The volume of solution 2 that contains the same amount of solute and the volume of solution 1 that contains the same amount of solute are to be determined.

Concept introduction:

The concentrated solutions need to be diluted before using them. This is done by the process of dilution.

During the dilution process, a less concentrated solution is prepared from a more concentrated one.

The volume of the stock solution needed for the dilution can be calculated by using the following formula:

$M_{\text{c}}\times L_{\text{c}}\text{= }{M}_{\text{d}}\times L_{\text{d}}$

Here, $M_{\text{c}}$ is the molarity of the concentrated solution, $M_{\text{d}}$ is the desired final molarity, $L_{\text{d}}$ is the desired final volume, and $L_{\text{c}}$ is the volume of the concentrated solution.

Dilution of a stock solution tends to decrease the concentration of the solution without altering the number of moles of the solute present in the solution.