Answer:
The volume of the water is 108.71 mL
Explanation:
Step 1: Data given
Volume of water =150 mL = 0.150 L
concentration of sucrose solution 35 % w/w this means in 100 grams of water we have 35 grams of sucrose
specific gravity =1.115
Step 2: Calculate the density of the solution
Density = specific gravity * density of water
Density of solution = 1.115 * 1g/ mL
Density of solution = 1.115 g/ mL
Step 3: Calculate mass of the solution
Mass of solution = density ¨volume
Mass of solution = 1.115 g/ mL * 150 mL
Mass of solution = 167.25 grams
Step 4: Calculate mass of sucrose
35 % = 0.35 * 167.25 grams
Mass sucrose = 58.54 grams
Step 5: Calculate mass of water
Mass of water = mass of sample - mass of sucrose
Mass of water = 167.25 - 58.54 = 108.71 grams
Step 6: Calculate volume of water
Volume = mass / density
Volume = 108.71 grams / 1g/ mL
Volume = 108.71 mL = 0.10871 L
The volume of the water is 108.71 mL