Answer to Question #319204 in General Chemistry for Emman

Question

5. What is the mass percent sucrose in a solution made by combining 365 g of a 8.90 percent sucrose by mass aqueous solution with 145 g of an 6.80 percent sucrose by mass aqueous solution? (5 points)

Answer 1

m(solution)₁ = 365 g;

X(sucrose)₁ = 8.90 %;

m(solution)₂ = 145 g;

X(sucrose)₂ = 6.80 %;

m(sucrose)₁ = m(solution)₁ * X(sucrose)₁/100 = 365 * 8.90/100 = 32.485 g;

m(sucrose)₂ = m(solution)₂ * X(sucrose)₂/100 = 145 * 6.80/100 = 9.860 g;

m(sucrose)_total = m(sucrose)₁ + m(sucrose)₂ = 32.485 + 9.860 = 42.345 g;

m(solution)_total = m(solution)₁ + m(solution)₂ = 365 + 145 = 510 g;

X(sucrose)_total = m(sucrose)_total/m(solution)_total = 42.345/510 = 0.0830 = 8.30 %.

Answer: 8.30 %.