Considering the definition of percentage by mass, the mass of a calcium chloride solution is 64.49 grams.
The percentage by mass expresses the concentration and indicates the amount of mass of solute present in 100 grams of solution.
In other words, the percentage by mass of a component of the solution is 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. This is:
percentage by mass= (mass of solute÷ mass of solution)× 100
In this case, you know:
Replacing in the definition of percentage by mass:
24.5= (15.8 g÷ mass of solution)× 100
Solving:
24.5÷ 100= 15.8 g÷ mass of solution
0.245= 15.8 g÷ mass of solution
0.245× mass of solution= 15.8 g
mass of solution= 15.8 g÷ 0.245
mass of solution= 64.49 grams
Finally, the mass of a calcium chloride solution is 64.49 grams.
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