Final answer:
The final volume of the solution is 1020 mL.
Step-by-step explanation:
To find the final volume in milliliters when a solution is diluted, we can use the equation C1V1 = C2V2, where C1 and V1 are the initial concentration and volume, and C2 and V2 are the final concentration and volume.
In this case, the initial concentration is 47.2% (m/v) and the initial volume is 0.510 L. The final concentration is 25.0% (m/v), and we need to find the final volume. So we have:
(0.472)(0.510 L) = (0.250)(V2)
Solving for V2, we find that the final volume is 1.020 L or 1020 mL.