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A scientist has 500 mL of a 2.1 M stock solution. She dilutes the solution, and the volume of the solution after the dilution is 3.25 L. What is the molarity (M) of the diluted solution?

Sagot :

The molarity of the diluted solution is 0.32 M

Considering the question given above, the following data were obtained:

Volume of stock solution (V₁) = 500 mL

Molarity of stock solution (M₁) = 2.1 M

Volume of diluted solution (V₂) = 3.25 L = 3.25 × 1000 = 3250 mL

Molarity of diluted solution (M₂) =....?

The molarity of the diluted solution can be obtained as follow:

M₁V₁ = M₂V₂

2.1 × 500 = M₂ × 3250

1050 = M₂ × 3250

Divide both side by 3250

M₂ = 1050 / 3250

M₂ = 0.32 M

Therefore, the molarity of the diluted solution is 0.32 M

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