Question

Calculate the number of atoms in 0.316 mol of phosphorus

Answer 1

Answer:

$\large \boxed {7.61 \times 10^{23}\text{ atoms}}$

Explanation:

1. Molecules of P₄

The molecular formula of phosphorus is P₄.

$\text{Molecules of P}_{4} = \text{0.316 mol P}_{4} \, \times \dfrac{ 6.022 \times 10^{23}\text{ molecules P}_{4}}{\text{1 mol P}_{4}} = 1.90 \times 10^{23}\text{ molecules P}_{4}$

2. Atoms of P

One molecule of phosphorus contains four P atoms.

$\text{Atoms of P} = 1.90 \times 10^{23}\text{ molecules P}_{4} \times \dfrac{\text{4 atoms P}}{\text{1 molecule P}_{4}}\\\\= \large \boxed{\mathbf{7.61 \times 10^{23}}\textbf{ atoms P}}$