Question

A 48.9 g piece of aluminum is dropped in a graduated cylinder partially filled with water. The original volume of water in the cylinder was 41.8 mL. The water rose to 54.4 mL when the aluminum was dropped in. What is the density of the aluminum?

Answer 1

3.88g/mL

Step-by-step explanation:

Density could be understood as the mass of a compound when it occupies 1mL.

To find the mass in 1mL we need to determine the volume that the piece occupies:

Based on Archimedes' principle, the volume of water displaced is equal to volume of the aluminium piece, that is:

54.4mL - 41.8mL = 12.6mL

As the piece has as mass 48.9g, the density is:

48.9g / 12.6mL =

3.88g/mL