Answer:
95.3g
Explanation:
Given parameters:
Mass of water = 540g
Percentage by mass of solution = 15%
Unknown:
Mass of sucrose = ?
Solution;
To solve this problem, we must understand that a solution is made up of solute dissolved in a solvent. A solute is the solid dissolved in another. The solvent is the is dissolving medium;
Percentage by mass of solute in solution = [tex]\frac{Mass of solute}{Mass of solution} x 100[/tex]
Mass of solution = mass of water + Mass of sucrose = 540 + M
where M is the mass of sucrose;
therefore;
[tex]\frac{M}{540 + M } x 100[/tex] = 15
Solving for M gives 95.3g
Mass of sucrose is 95.3g