Another 15 kg of sugar was added to 80 kg of a 20% sugar solution. Determine the mass fraction
| May 30, 2021 | education
Another 15 kg of sugar was added to 80 kg of a 20% sugar solution. Determine the mass fraction of sugar in the resulting solution.
Another 15 kg of sugar was added to 80 kg of a 20% sugar solution. Determine the mass fraction of sugar in the resulting solution.
Given:
m (solution) = 80 kg,
m (sugar) = 15 kg,
w -?
Decision:
The mass fraction of a substance is calculated by the formula:
W = m (substance): m (solution) × 100%,
m (substance) = (m (solution) × W): 100%,
m (sugar) = (80 kg × 20%): 100% = 16 kg.
m (sugar) 2 = 16 kg + 15 kg = 31 kg.
m (solution) 2 = 80 kg + 15 kg = 95 kg.
W = (31 kg: 95 kg) × 100% = 32, 63%.
Answer: 32.63%.
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