The molar fraction of sucrose in the mixture is 15% Find its mass fraction in this solution.

To find the mass fraction of sucrose in the solution, we need to use the relationship between molar fraction and mass fraction. The molar fraction is the ratio of the number of moles of a component to the total number of moles in the mixture. The mass fraction is the ratio of the mass of a component to the total mass of the mixture.Given that the molar fraction of sucrose is 15%, we can assume that the total number of moles in the mixture is 100 moles. Therefore, the number of moles of sucrose in the mixture is 15 moles.To find the mass fraction of sucrose, we need to know the molar mass of sucrose. The molar mass of sucrose (C12H22O11) is approximately 342.3 g/mol.Now, we can calculate the mass of sucrose in the mixture using the formula:Mass of sucrose = Number of moles of sucrose × Molar mass of sucroseMass of sucrose = 15 moles × 342.3 g/mol = 5133.5 gNext, we can calculate the total mass of the mixture. Since the molar fraction of sucrose is 15%, the total mass of the mixture is:Total mass of mixture = Mass of sucrose / Molar fraction of sucroseTotal mass of mixture = 5133.5 g / 0.15 = 34220 gFinally, we can calculate the mass fraction of sucrose in the solution using the formula:Mass fraction of sucrose = Mass of sucrose / Total mass of mixtureMass fraction of sucrose = 5133.5 g / 34220 g = 0.15 or 15%Therefore, the mass fraction of sucrose in the solution is 15%.