15 grams of sugar was added to 100 g of a 25% sugar solution. What is the mass fraction of sugar
June 10, 2021 | education
| 15 grams of sugar was added to 100 g of a 25% sugar solution. What is the mass fraction of sugar in the resulting solution?
Given: the mass of the solution is 100 grams. The concentration of the solution (w) is 25%. The mass of sugar is 15 grams.
Decision:
1) Find the mass of sugar in 100 grams of solution. To do this, subtract 25% from 100%: 100 – 25 = 75%.
2) Find the mass of sugar m = 100 – (100 * 75/100) = 25 g.
3) After adding another 15 grams, it turned out 25 + 15 = 40 grams of sugar.
4) The mass of the solution and sugar is 100 + 15 = 115 g.
5) After that, we find the mass fraction of sugar:
w = 40/115 = 0.35. If you express this number as a percentage, you get 0.35 * 100 = 35%.
Answer: 35%.
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