If you mix 150 grams of a 22% sugar solution and 250 grams of a 16% sugar solution, what percent of the mixture is sugar?
1 Answer
The mass percent of the sugar is 18.2 %.
Percent by mass is the mass of the solute divided by the mass of the solution, multiplied by 100.
% by mass =
Step 1 — Determine the mass of the solute.
We must find the mass of sugar in each solution.
In the 22 % solution:
Mass of sugar = 150 g solution ×
In the 16 % solution:
Mass of sugar = 250 g solution ×
Total mass of sugar = 33 g + 40 g = 73 g
Step 2 — Determine the mass of solution.
The total mass of the two solutions is 150 g + 250 g = 400 g
Step 3 — Determine the percent by mass of the sugar.
% by mass =
The mass percent of the sugar is 18.2 %.