Question

What is the initial volume, in milliliters, needed to prepare each of the following diluted solutions?350. mL of 0.80 %(m/v) NaCl from 4.0 % (m/v) NaCl

Answer 1

The initial volume of the solution is 70mL

Step-by-step explanation

Given that;

The initial concentration of the solution is 4.0%

The final concentration of the solution is 0.80%

Th e final volume of the solution of is 350mL

Follow the steps below to find the initial volume of the solution.

Step 1; Apply the dilution formula

`\begin{gathered} \text{ C1 V1 = C2 V2} \\ \end{gathered}`
`\begin{gathered} \text{ }\frac{\text{ 4}}{\text{ 100}}\text{ }*\text{ V1 = }\frac{\text{ 0.80}}{\text{ 100}}*\text{ 350} \\ \text{ 0.04 }*\text{ V1 = 0.008 }*\text{ 350} \\ \text{ 0.04V1 = 2.8} \\ \text{ Divide both sides by 0.04} \\ \text{ }\frac{\text{ 0.04V1}}{\text{ 0.04}}\text{ = }\frac{\text{ 2.8}}{\text{ 0.04}} \\ \text{ V1 = 70mL} \end{gathered}`

Therefore, the initial volume of the solution is 70mL