Calculate the volume (in mL) of a 2.75 M solution that must be used to make 1.25L of a 0.150 M solution.

M1V1 = M2V2 solve for V1 (the answer will be in the units of L), convert L to mL

68mL

Explanation:

Data obtained from the question include:

V1 (volume of original solution) = ?

M1 (Molarity of original solution) = 2.75 M

V2 (volume of diluted solution) = 1.25L

M2 (Molarity of diluted solution) = 0.150 M

Using the dilution formula M1V1 = M2V2, the volume of the original solution can be obtained as follow:

M1V1 = M2V2

2.75 x V1 = 0.15 x 1.25

Divide both side by 2.75

V1 = (0.15 x 1.25) / 2.75

V1 = 0.068L

Now let us convert 0.068L to mL in order to obtain the desired result. This is illustrated below:

Recall: 1L = 1000mL

Therefore, 0.068L = 0.068 x 1000 = 68mL

Therefore, the volume of the original solution is 68mL