Question

what is the initial volume, in milliliters, needed to prepare each of the following diluted solution?350 mL of 3.0 %(m/v) HCl from 15.0 % (m/v) HCl Express your answer to two significant figures and include the appropriate units.

Answer 1

The initial volume of the solution is 70mL

Step-by-step 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

`\text{ C1 V1 = C2 V2}`

Substitute the given data into the above formula

`\begin{gathered} \text{ }(15)/(100)\text{ }*\text{ V1 = }(3)/(100)*\text{ 350} \\ \text{ 0.15 }*\text{ V1 = 0.03 }*\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}`

Therefore, the initial volume of the solution is 70mL