Final answer:
The number of moles of aluminum in a 13.2 cm³ block of the substance, given a density of 2.70 g/cm³, is approximately 1.32 mol.
Step-by-step explanation:
To find the number of moles of aluminum in a 13.2 cm³ block of the metal, we first need to determine the mass of this block. Since the density of aluminum is 2.70 g/cm³, multiplying the volume of the block by its density gives us the mass:
Mass = Density × Volume = 2.70 g/cm³ × 13.2 cm³ = 35.64 g
Next, we convert the mass of aluminum to moles using aluminum's molar mass (approximately 26.98 g/mol). The formula is:
Number of Moles = Mass/Molar Mass = 35.64 g / 26.98 g/mol
The number of moles of aluminum is therefore approximately:
Number of Moles ≈ 1.32 mol