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=(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.