High School

What volume (ml) of a concentrated solution of magnesium chloride (9.00 m) must be diluted to 350 ml to make a 2.75 m solution of magnesium chloride?

A. 127
B. 38.8
C. 107
D. 14.1
E. 1.15

Answer :

To dilute a 9.00 M magnesium chloride solution to create a 2.75 M solution with a final volume of 350 mL, you would need approximately 107 mL of the concentrated solution. Therefore, the correct option is C.

The question involves the concept of dilution of solutions, which is common in chemistry. The formula to use here is M1V1 = M2V2, where M represents molarity and V represents volume. To find the volume of the concentrated magnesium chloride solution necessary to make a 2.75 M solution with a final volume of 350 mL, we rearrange the equation to V1 = (M2V2)/M1. Substituting the values in, we get V1 = (2.75 M * 350 mL) / 9.00 M. When the calculation is performed, the answer comes out to approximately 107 mL. Therefore, the correct volume of the concentrated solution needed is 107 mL.