Question

A 54-gram sample of an unknown material has a volume equal to 20 cm3. Based on its density, could the sample be aluminum? Explain. When the aluminium is 2.7.

Answer 1

Density = mass / volume
ρ = 54 / 20
ρ = 2.7 g/cm³

The density of aluminum is 2.7 cm³ so this material is aluminum. The density of a material is specific to it and is independent of the amount of substance present; thus, it can conclusively be stated that this material is aluminum.

Answer 2

The answer is the unknown material is the aluminium.

The density (D) is the quotient of mass (m) and volume (V):
D = m/V

The density of the unknown material:
m = 54 g
V = 20 cm³

D = 54 / 20 = 2.7

Since the density of the unknown material is 2.7 and the density of the aluminium is 2.7, the unknown material is the aluminium.