Calculate the number of atoms per cubic meter in aluminum. The density and atomic weight of aluminum are 2.70 g/cm3 and 26.98 g/mol respectively. The value of Avogadro's number is 6.022 x 1023 atoms/mol.

We have 6.026 *10^28 Al atoms per cubic meter

Explanation:

Step 1: Data given

The density and atomic weight of aluminum are 2.70 g/cm3 and 26.98 g/mol respectively.

The value of Avogadro's number is 6.022 * 10^23 atoms/mol

Step 2: Calculate the number of atoms / cubic meter

N = (Na * ρal) / Mal

⇒ with Na = the number of Avogadro = 6.022 * 10^23 atoms / mol

⇒ with ρal = the density of aluminium = 2.70 g/cm³

⇒with Mal = the atomic weight of aluminium = 26.98g/mol

N = (6.022*10^23 *2.70) / 26.98

N = 6.026 *10^22 atoms / cm³ = 6.026 *10^28 atoms / m³

We have 6.026 *10^28 Al atoms per cubic meter

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