Question

To what final volume in L should 380mL of a 0.47M solution be diluted if you want a final concentration of 0.094M?

Answer 1

The final volume of the solution is 1900mL

Step-by-step explanation

Given information

The initial volume is 380mL

The initial concentration is 0.47M

The final concentration is 0.094M

To find the final volume of the solution, follow the steps below

Step 1: Write the dilution formula

`\begin{gathered} \text{ C1V1 = C2V2} \\ \text{ Where} \\ \text{ C1 = initial concentration} \\ V1\text{ = Final volume} \\ \text{ C2 = initial concentration} \\ \text{ V2 = Final concentration} \end{gathered}`

Step 1: Substitute the given data into the formula in step 1

Let the final volume be V2

`\begin{gathered} \text{ 0.47 }*\text{ 380 = 0.094}* V2 \\ 178.6\text{ = 0.094}*\text{ V2} \\ \text{ Divide both sides by 0.094} \\ \text{ }(178.6)/(0.094)\text{ = }(0.094* V2)/(0.094) \\ \text{ V2 = 1900mL} \end{gathered}`

Hence, the final volume of the solution is 1900mL