High School

A sugar solution consists of 35.8 grams of sugar and 125.35 grams of water.

What is the percent by mass of the sugar and the percent by mass of the water in the solution?

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%.