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

Mass of Sucrose = 95.29 grams.

Explanation:

Given,

Mass percent = 15%

 Mass of Water = 540 grams

Mass of Sucrose = ?

Mass percent of a solution can be calculated using the formula,

Mass percent =  (Mass of Solute/Mass of Solution)*(100)

In this solution, Sucrose is solute and water is the solvent.

As the solution contains both Sucrose and Water,

Mass of Solution = mass of solute + mass of solvent = mass of sucrose + 540.

Let mass of sucrose(solute) = 'x' grams.

Therefore, mass of solution = x + 540.

Substituting the values in the formula, we get,

15 = (x/x+540)*(100) =>  (x/x+540) = (15/100)

=>  (x/x+540) = 0.15 => x = 0.15x + 81 => 0.85x = 81 => x = 95.29 grams.

Therefore, Mass of Sucrose = 95.29 grams.