Considering the definition of percentage by mass, 448 grams of a 12.5 % sugar solution contain 56.0 g of sugar
The percentage by mass expresses the concentration and is defined as the ratio of the mass of the solute to the mass of the solution, expressed as a percentage.
The percentage by mass is calculated as the mass of the solute divided by the mass of the solution, the result of which is multiplied by 100 to give a percentage:
percent by mass= (mass of solute÷ mass of solution)×100%
In this case, you know:
Replacing in the definition of percent by mass:
12.5%= (56 g÷ mass of solution)×100%
Solving:
12.5%÷ 100%= 56 g÷ mass of solution
12.5%÷ 100%= 56 g÷ mass of solution
0.125= 56 g÷ mass of solution
0.125× mass of solution= 56 g
mass of solution= 56 g÷ 0.125
mass of solution= 448 g
Finally, the mass of solution is 448 grams.
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