Question

A chemist needs 500.0 mL of a 1.500 M perchloric acid solution. The stockroom provides the chemist with

10.00 L of 15.75 M perchloric acid solution to prepare the required solution. Calculate the volume of

concentrated acid required.

Answer 1

Answer:-  47.62 mL

Solution:- It is a dilution problem where we are asked to calculate the volume of 15.75 M perchloric acid solution required to make 500.0 mL of 1.500 M solution.

For solving this type of problems we use the dilution equation:

$M_1V_1=M_2V_2$

Where, $M_1$ is the concentration of the concentrated solution and $V_1$ is it's volume.

$M_2$ is the concentration of the diluted solution and $V_2$ is it's volume.  Let's plug in the values in the equation and solve it for $V_1$ .

$15.75M(V_1)=1.500M(500.0mL)$

On rearranging this for $V_1$ :

$V_1=\frac{1.500M(500.0mL)}{15.75M}$

$V_1=47.60mL$

So, 47.62 mL of 15.75 M perchloric acid are required to make 500.0mL of 1.500 M solution.