Answer:
The answer to your question is: a = 3.21 cm
Explanation:
Data
density = 2.7 g/cm³
# of atoms = 2.00 x 10²⁴
atomic number Al = 27g/mol
Formula
density = mass / volume
Process
1.- Calculate the mass of Al
6.023 x 10²³ atoms --------------- 27 g
2.00 x 10²⁴ atoms ---------------- x
x = (2.00 x 10²⁴ x 27) / 6 .023 x 10²³
x = 89.66 g
2.- Calculate volume
volume = mass / density
volume = 89.66 g / 2.7 g/cm³
volume = 33.2 cm³
3.- Calculate the length of each side
volume = a³
a³ = 33.2 cm³
a = [tex]\sqrt[3]{33.2}[/tex]
a = 3.21 cm
