Chapter 4.9, Problem 1PPC

Interpretation Introduction

Interpretation:

The volume of the concentrated stock solution required to prepare solutions of the same concentration as the diluted solution of each of the given final volumes is to be calculated.

Concept introduction:

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

In the process of dilution, 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.