Three students, A, B and C, are preparing sugar solutions for an experiment:
• Student A dissolves 20 g of sugar in 80 g of water.
• Student B dissolves 20 g of sugar in 100 g of water.
• Student C dissolves 30 g of sugar in 80 g of water.
(i) Calculate the mass percentage (% m/m ) concentration of sugar in each student's solution.
(ii) Whose solution is the most concentrated? Explain why.
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(i) Using % m/m = mass of sugar mass of solution ×100 :

A = 20 100 ×100 = 20% ; B = 20 120 ×100 = 16.7% ; C = 30 110 ×100 = 27.3% .

(ii) Student C's solution is the most concentrated (27.3%), because it has the most sugar in the least amount of solution.

Mass by mass percentage for each student
Student Sugar (solute) Water (solvent) Solution % m/m
A 20 g 80 g 100 g 20/100 × 100 = 20 %
B 20 g 100 g 120 g 20/120 × 100 = 16.7 %
C 30 g 80 g 110 g 30/110 × 100 = 27.3 %
Most concentrated Student C — most sugar in the least solution
← Back to: 5.2.2 How do we express concentration?
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