Answer:
122.7 mL
Step-by-step explanation:
Step 1: Given data
- Volume of water: 100.0 mL
- Mass of the piece iron (m): 178.5 g
- Density of iron (ρ): 7.87 g/mL
Step 2: Calculate the volume of the piece of iron
Density is equal to the mass of the piece divided by its volume.
ρ = m/V
V = m/ρ
V = 178.5 g/(7.87 g/mL) = 22.7 mL
Step 3: Calculate the volume of the mixture
The volume of the mixture is equal to the sum of the volume of water and the iron piece.
100.0 mL + 22.7 mL = 122.7 mL