Another 15 kg of sugar was added to 80 kg of a 20% sugar solution. Determine the mass fraction

Another 15 kg of sugar was added to 80 kg of a 20% sugar solution. Determine the mass fraction of sugar in the newly prepared solution.

Sugar formula: C12H22O11.
80kg = 80000g.
15kg = 15000g.
1) Find the mass of the sugar substance in its 20% solution. To do this, we multiply the mass fraction of the substance by the mass of the solution and divide by one hundred percent: 20 * 80,000 / 100 = 16,000 g.
2) Find the mass of the substance after adding 15kg of sugar: 16000 + 15000 = 31000g.
3) Find the mass of the solution after adding 15kg of sugar: 15000 + 80000 = 95000g.
4) We calculate the mass fraction of sugar in the resulting solution: 31000/95000 * 100% = 32.6% – the answer.



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