High School

What mass of sugar, in grams, would be obtained from the evaporation of water from 1.5 kg of a sugar solution which is 10.5% sugar by mass?

A. 157.5 g
B. 105 g
C. 157 g
D. 150 g

Answer :

Final answer:

The mass of sugar obtained by evaporating water from 1.5 kg of a 10.5% sugar solution is 157.5 grams. Hence the correct option is (a).

Explanation:

To calculate the mass of sugar obtained from the evaporation of water from a sugar solution, we must consider the percentage by mass of the sugar in the solution.

Given that we have a 10.5% sugar solution by mass, this means that in every 100 grams of solution, there are 10.5 grams of sugar.

So, if we have 1.5 kg (or 1500 grams) of solution:

Mass of sugar = percentage of sugar by mass × total mass of solution

Mass of sugar = 0.105 × 1500 grams

Mass of sugar = 157.5 grams

Hence, the correct answer is: a. 157.5 g.