Answer:
[tex]\large \boxed {7.61 \times 10^{23}\text{ atoms}}[/tex]
Explanation:
1. Molecules of P₄
The molecular formula of phosphorus is P₄.
[tex]\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}[/tex]
2. Atoms of P
One molecule of phosphorus contains four P atoms.
[tex]\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}}[/tex]