Question

What mass of sucrose needs to be dissolved in 540 g of water in order to prepare a 15% by mass solution.

Answer 1

92.3g

Step-by-step explanation:

Given parameters:

Mass of water = 540g

Percentage by mass of solution = 15%

Unknown:

Mass of sucrose = ?

Solution:

A solution is a mixture made up of solutes dissolved in a solvent. The solvent is the liquid and the solute is usually the solid.

Solution = solute + solvent

To find the weight percent of solute in solution ;

=
`(mass of solute)/(mass of solution) x 100`

Mass of solution = mass of sucroce + water

= S + 540

where S is the mass of sucrose;

therefore;

15 =
`(S)/(540+S) x 100`

solving for S;

S = 92.3g