How much of the stock solution of 2.0 M of Blue 1 dye would be needed to create 10 mL of a 0.5 M solution of Blue 1 dye?

2.5 mL

Explanation:

The following data were obtained from the question:

Molarity of stock solution (M₁) = 2 M

Molarity of diluted solution (M₂) = 0.5 M

Volume of diluted solution (V₂) = 10 mL

Volume of stock solution needed (V₁) =?

Thus, we can obtain the volume of the stock solution needed by using the dilution formula as illustrated below:

M₁V₁ = M₂V₂

2 × V₁ = 0.5 × 10

2 × V₁ = 5

Divide both side by 2

V₁ = 5/2

V₁ = 2.5 mL

Thus, 2.5 mL of the stock solution is needed.