Answer:
Mass Solute Mass Solvent Mass Solution Mass Percent
16.5 g 268.1 g 302.60 g 5.45 %
24.4 g 178.93 g 203.33 g 12.0 %
43.8 g 183.30 g 227.10 g 19.28 %
76.28 g 325.20 g 401.48 g 19.3 %
Step-by-step explanation:
- Firstly, we should remember that:
mass % = [mass of solute/mass of solution] x 100.
mass of solution = mass of solute + mass of solvent.
- For row 1: 16.5 g 268.1 g _____ _____
mass of solute = 16.5 g & mass of solvent = 268.1 g.
mass of solution = mass of solute + mass of solvent = 16.5 g + 286.1 g = 302.6 g.
mass % = [mass of solute/mass of solution] x 100 = (16.5 g/302.6 g) x 100 = 5.45 %.
- For row 2: 24.4 g _____ _____ 12.0 %
mass of solute = 24.4 g & mass % = 12.0 %.
∵ mass % = [mass of solute/mass of solution] x 100 = 12.0 %.
∴ mass of solution = (mass of solute/mass %) x 100 = (24.4 g/12.0 %) x 100 = 203.33 g.
∴ mass of solvent = mass of solution - mass of solute = 203.33 g - 24.4 g = 178.93 g.
- For row 3: _____ 183.3 g 227.1 g _____
mass of solvent = 183.3 g & mass of solution = 227.1 g.
∴ mass of solute = mass of solution - mass of solvent = 227.1 g - 183.3 g = 43.8 g.
∴ mass % = [mass of solute/mass of solution] x 100 = (43.8 g/227.1 g) x 100 = 19.28 %.
- For row 4: _____ 325.2 g _____ 19.3 %
mass of solvent = 325.2 g & mass % = 19.3 %.
let mass of solute = x g, ∴ mass of solution = 325.2 g + x.
∵ mass % = [mass of solute/mass of solution] x 100 = 19.3 %.
0.19 = [mass of solute/mass of solution].
∴ 0.19 = (x) / (325.2 + x)
61.788 + 0.19 x = x.
∴ x - 0.19 x = 61.788.
0.81 x = 61.788
∴ x = mass of solute = 61.788/0.81 = 76.28 g.
∴ mass of solution = 325.2 g + x = 325.2 g + 76.28 = 401.48 g.