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.
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.
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.