Answer to Question #195002 in General Chemistry for atira

Question

A teacher needs to make 120.0 mL of a 4.00 M HCl solution using a stock solution with a concentration of 12.0 M. Determine the volume of 12.0 M HCl needed to make the dilution.

Answer 1

c₁ = 12.0 M

V₁ = unknown

c₂ = 4.00 M

V₂ = 120.0 mL

Solution:

The equation for dilution calculations can be used.

where:

c₁, V₁ - the molarity and volume of the concentrated solution

c₂, V₂ - the molarity and volume of the diluted solution

Thus:

(12.0 M) × V₁ = (4.00 M) × (120.0 mL)

V₁ = (4.00 M × 120.0 mL) / (12.0 M) = 40 mL

V₁ = 40 mL

Answer: 40 mL of 12.0 M HCl needed to make the dilution.