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

Answer:

92.3g

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 ;

                       = $\frac{mass of solute}{mass of solution} x 100$

Mass of solution  = mass of sucroce + water

                              = S + 540

where S is the mass of sucrose;

          therefore;

                         15  = $\frac{S}{540+S} x 100$

                   solving for S;

                  S = 92.3g