Final answer:
The final concentration of the battery acid after dilution is 0.675 mol/L.
Step-by-step explanation:
When a solution is diluted, the final concentration can be calculated using the formula:
C1V1 = C2V2
Where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.
Applying this formula, we have:
Initial concentration (C1) = 3.0 mol/L
Initial volume (V1) = 4.5 L
Final volume (V2) = 20.0 L
Using the formula, we can calculate the final concentration (C2):
C2 = (C1 x V1) / V2
C2 = (3.0 mol/L x 4.5 L) / 20.0 L
C2 = 0.675 mol/L
Therefore, the final concentration of the battery acid after dilution is 0.675 mol/L.