ANSWER
The initial volume of the solution is 70mL
EXPLANATION
Given that;
The initial concentration of the solution is 15.0% m/v
The final volume of the solution is 350mL
The final concentration of the solution is 3.0% m/v
Follow the steps below to find the initial volume of the solution.
Step 1; Apply the dilution formula
[tex]\text{ C1 V1 = C2 V2}[/tex]Substitute the given data into the above formula
[tex]\begin{gathered} \text{ }\frac{15}{100}\text{ }\times\text{ V1 = }\frac{3}{100}\times\text{ 350} \\ \text{ 0.15 }\times\text{ V1 = 0.03 }\times\text{ 350} \\ \text{ 0.15 V1 = 10.5} \\ \text{ Divide both sides by 0.15} \\ \text{ V1 = }\frac{\text{ 10.5}}{\text{ 0.15}} \\ \text{ V1 = 70mL} \end{gathered}[/tex]Therefore, the initial volume of the solution is 70mL
