Question

What is the mass percent of a sugar solution when 471 grams of sugar is combined with 877 grams of water?

Answer 1

Mass percentage of sugar = 34.9%

Step-by-step explanation

Given:

Mass of sugar (solute) = 471 g

Mass of solution (solute + solvent) = 877 + 471g = 1348 g

Required: mass percentage of sugar

Solution

Percent by mass is the mass of the solute divided by the mass of the solution, multiplied by 100.

`\%\text{ by mass = }\frac{mass\text{ of solute}}{mass\text{ of solution}}\text{ x 100}`
`\begin{gathered} \%\text{ by mass of sugar = }\frac{471\text{ g}}{877\text{ + 471 g}}\text{ x 100} \\ \%\text{ by mass of sugar = }(471)/(1348)\text{ x 100} \\ \\ \%\text{ by mass of sugar = 34.9}\% \end{gathered}`