Answer :
Final answer:
The percent by mass of sugar in the solution is 22.22%, and for water, it is 77.78%, calculated using the mass of the solute and solvent, and the total mass of the solution.
Explanation:
To calculate the percent by mass of sugar and water in a solution, you use the following formula:
Percent by mass = (mass of solute / mass of solution) × 100%
First, calculate the mass of the solution:
mass of solution = mass of solute + mass of solvent
Substitute the values given:
mass of solution = 35.8 g (sugar) + 125.35 g (water) = 161.15 g
Now, calculate the percent by mass of sugar (the solute):
Percent by mass of sugar = (35.8 g / 161.15 g) × 100% ≈ 22.22%
Then, calculate the percent by mass of water (the solvent):
Percent by mass of water = (125.35 g / 161.15 g) × 100% ≈ 77.78%
Therefore, the percent by mass of sugar in the solution is 22.22%, and the percent by mass of water is 77.78%.