Question

Calculate the number of atoms per cubic meter in lead. The density and atomic weight of lead are 11.35 g/cm3 and 207.2 g/mol respectively. The value of Avogadro's number is 6.022 x 1023 atoms/mol.

Answer 1

Answer:

Number of lead atoms per cubic meter $3.299\times 10^{28}$

Explanation:

Density of lead is $11.35g/cm^{3}$ means mass of $1cm^{3}$ lead is 11.35 g

11.35 g of lead = $\frac{11.35}{207.2}mol$ of lead = 0.05478 mol of lead

$1cm^{3}=1\times 10^{-6}m^{3}$

$1mol=6.023\times 10^{23}$ number of particles

So, 0.05478 mol of lead = $(0.05478\times 6.023\times 10^{23})$ number of atoms of lead

                                       = $3.299\times 10^{22}$ number of atoms of lead

So, number of lead atoms per cubic meter = $\frac{3.299\times 10^{22}}{1\times 10^{-6}}=3.299\times 10^{28}$