Final answer:
To dilute a 75 mL, 10.0 M H₂SO₄ solution to obtain a 1.75 M H₂SO₄ solution, you should dilute it to approximately 428.57 mL.
Step-by-step explanation:
To dilute a solution, we can use the formula:
C1V1 = C2V2
Where:
- C1 = initial concentration of the solution
- V1 = initial volume of the solution
- C2 = final concentration of the solution
- V2 = final volume of the solution
In this case, we are given:
- C1 = 10.0 M (initial concentration)
- V1 = 75 mL (initial volume)
- C2 = 1.75 M (final concentration)
- V2 = ? (final volume)
Plugging these values into the formula:
(10.0 M)(75 mL) = (1.75 M)(V2)
Dividing both sides by 1.75 M:
V2 = (10.0 M)(75 mL) / 1.75 M
Calculating:
V2 = 428.57 mL
Therefore, you should dilute 75 mL of a 10.0 M H₂SO₄ solution to approximately 428.57 mL to obtain a 1.75 M H₂SO₄ solution.