Answer:
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.
