Answer
The weight/weight % of solute = 5.3%
Step-by-step explanation
Given
Mass of solute (potassium nitrate) = 4.87 g
Volume of solvent (water) = 86.4 mL
Density of water = 1.00 g/mL
Required: Weight/weight% of the solute
Solution
Step 1: Covert the volume of water to mass
mass = density x volume
mass = 1.00 g/mL x 86.4 mL
mass = 86.4 g
Step 2: Calculate the weight/weight % of the solute
Mass % solute = [mass of solute/(mass of solute + mass of solvent)] x 100
Mass % solute = 4.87g/(4.87 + 86.4)
Mass % solute = 5.3%