Question

A 109.35 g sample of brass is added to a 100-mL graduated cylinder with 55.5 mL of water. If the resulting water level is 68.0 mL, what is the volume of the brass?

Answer 1

Since brass is solid metal which don’t absorb any water, the displacement of water will be equal to the volume of metal.

The volume of brass = Final volume of water in the cylinder - Initial volume of water in the cylinder

Initial volume = 55.5 mL

Final volume = 68.0 mL

Volume of brass = 68.0 mL - 55.5 mL = 12.5 mL

Since 1 mL = 1 cm^3

Volume of brass = 12.5 mL = 12.5 cm^3.

Since the mass of brass (109.35 g) is known, we can use the volume (12.5 cm^3) information to determine the density of brass.

Density = Mass / Volume = 109.35 g / 12.5 cm^3 = 8.748 g/cm^3 = 8.748 kg/m^3