Question

You have a 500.0 ml graduated cylinder filled with 100.0 mL of water. You carefully add a 178.5 gram piece of iron (density of iron = 7.87 g/mL). What is the final volume reading in the graduated cylinder after adding the iron piece?​

Answer 1

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