ANSWER
The initial volume of the acid is 260mL
EXPLANATION
Given that;
The final volume of the ethanoic acid is 4.5L
The final concentration of the ethanoic acid is 1.0 mol/L
The initial concentration of the ethanoic acid is 17.4 mol/L
Follow the steps below to find the volume of the ethanoic acid
Step 1; Apply the dilution formula
[tex]\text{ C1 V1 = C2V2}[/tex]Step 2; Substitute the given data into the formula
[tex]\begin{gathered} \text{ 17.4 }\times\text{ V1 = 4.5 }\times\text{ 1.0} \\ \text{ 17.4 V1 = 4.5} \\ \text{ Divide both sides by 17.4} \\ \text{ V1 = }\frac{\text{ 4.5}}{\text{ 17.4}} \\ \text{ V1 = 0.260L} \\ \text{ V1 = 260mL} \end{gathered}[/tex]Therefore, the initial volume of the acid is 260mL