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8. 1:5 Dilution

A dilution factor of 1:5 means that the concentration of the new solution is ⅕ that of the original solution.

c = ⅕ × 1 mol·L⁻¹ = 0.2 mol·L⁻¹

9. 1:10 Dilution

A dilution factor of 1:10 means that the concentration of the new solution is ⅒ that of the original solution.

c = ⅒ × 5 mol·L⁻¹ = 0.5 mol·L⁻¹

10. Preparation of 0.25 mol·L⁻¹ solution

You are making a 1:4 dilution. This means that the volume of the new solution is four times that of the stock solution.

Thus, if you wanted to make 1 L of 0.25 mol·L⁻¹ solution, you would take

250 mL of the stock solution and add enough water to bring the volume up to 1 L.