Question

Calculate the number of atoms per cubic meter in lead. The density of lead is given as 11.34 g/cm³ and the atomic mass of lead is 207.2 g/mol. (Avogadro's number = 6.022 × 10²³)

Answer 1

To calculate the number of atoms per cubic meter in lead, convert the density of lead from g/cm³ to kg/m³. Then use the atomic mass of lead to calculate the number of moles per cubic meter. Finally, use Avogadro's number to calculate the number of atoms per cubic meter.

Step-by-step explanation:

To calculate the number of atoms per cubic meter in lead, we need to convert the density of lead from grams per cubic centimeter to kilograms per cubic meter. The density of lead is given as 11.34 g/cm³. We can convert this to kg/m³ by multiplying by 1000 to get 11340 kg/m³.

Next, we need to calculate the number of moles of lead per cubic meter. We can use the atomic mass of lead, which is given as 207.2 g/mol.

Using Avogadro's number, 6.022 × 10²³, we can calculate the number of atoms per mole and then multiply by the number of moles per cubic meter.

Number of atoms per cubic meter = (11340 kg/m³ / 207.2 g/mol) × (6.022 × 10²³ atoms/mol)

Number of atoms per cubic meter = 3.064 × 10²⁸ atoms/m