Problem 86P

To what volume should you dilute 75 mL of a 10.0 M H2SO4 solution to obtain a 1.75 M H2SO4 solution?

Solution 86P:

Here, we are going to calculate the volume of 1.75 M H2SO4 solution by using dilution equation.

M1V1= M2V2 ------(1)

Where, M1 and V1 are Molarity and volume of the initial solution whereas M2 and V2 are the Molarity and volume of the solution.

From the Question,

It is given that,

M1 (initial Molarity) =10.0 M

V1 (initial volume) = 75.0 mL

M2 (final Molarity) =1.75 M

V2 (initial volume) = ?

Thus, from equation (1)

M1V1= M2V2 ------(1)

V2 = M1V1/M2

= = 428.57 mL

The final volume of H2SO4 is 428.57 mL

Thus, upto 428.57 mL of dilution is required to make 1.75 M of H2SO4 .