Question

A solution is 80.5% by mass of substance F. The density of the solution is 1.23 g/ml. A reaction requires 4.62 g of F. What volume of solution is required?

Answer 1

First, we have to analyze the meaning of the percentage m/m:

`\%m\text{/m = }\frac{g\text{ of substance F}}{g\text{ solution}}*100`

Then, we can calculate the required grams of the solution to carry out the reaction with substance F. We have to clear the equation in terms of the g solution as follows:

`\begin{gathered} g\text{ solution = }\frac{g\text{ substance F}}{\%m/m}*100 \\ \\ Replacing\text{ the values: } \\ \\ g\text{ solution= }\frac{4.62\text{ g}}{80.5}*100\text{ = 5.74 g} \end{gathered}`

Now, let's convert the mass of the solution into volume, using the solution's density (1.23g/ml):

`5.74\text{ g solution *}\frac{1\text{ ml solution}}{1.23\text{ g solution}}=\text{ 4.67 ml solution}`

Then, the answer is that we need 4.67 ml of solution.