Question

If there are 17.5 grams of sugar in 225 grams of an aqueous sugar solution, the percent-mass sugar is ______ and the percent-mass water is ______ . Express both answers to the correct number of significant figures.​

Answer 1

7.77%(m/m) ; 92.22%(m/m)

Explanation:

Given that:

17.5 grams of sugar in 225 grams of an aqueous sugar solution

Percentage by mass of A in a solution (mass percent) = (mass of A / total mass of solution) × 100

Hence,

Percentage by mass of sugar:

= (mass of sugar / total mass of solution) * 100

= (17.5 / 225) × 100

= 0.0777777 × 100 = 7.77%(m/m)

Mass of water(solvent) = (225 - 17.5)g = 207.5g

= (207.5 / 225) × 100

= 0.922222 × 100 = 92.22%(m/m)