Final answer:
Approximately 62 mL of commercial HCl with a concentration of 12.1 M is needed to prepare 250 mL of a 3.00 M HCl solution, using the dilution formula M1V1 = M2V2.
Step-by-step explanation:
The question asks what volume of commercial HCl with a concentration of 12.1 M should be used to prepare 250 mL of a 3.00 M HCl solution.
To solve this, we can use the dilution formula M1V1 = M2V2, where:
- M1 is the molarity of the concentrated solution (12.1 M)
- V1 is the volume of the concentrated solution we want to find
- M2 is the molarity of the diluted solution (3.00 M)
- V2 is the volume of the diluted solution (250 mL)
Rearranging the formula to solve for V1, we get:
V1 = M2V2 / M1
Substituting the known values:
V1 = (3.00 M * 250 mL) / 12.1 M
V1 = (750 mL) / 12.1
V1 = 61.9835 mL
So, approximately 62 mL of the commercial HCl is needed to prepare 250 mL of a 3.00 M HCl solution.