composition of substances and solutions

Question

A chemist wants to make 5,748 mL of a solution with a concentration of 2.55 M. How many liters of a 10.40 M solution should be used to make this solution?

Answer 1

To keep our units all the same, let us convert 5748 ml to L

5748 ml x 1 L / 1000 ml = 5.748 L

Now, we can use the general formula V₁M₁ = V₂M₂

(x L)(10.40 M) = (5.748 L)(2.55 M)

x = 1.409 L = 1.41 L (rounded to 3 sig. figs.)