Question

85.64 GRAMS PF phosphorus TO ATOMS

Answer 1

The number of atoms of phosphorus is 1.668 x 10^24 atoms

Step-by-step explanation

Given that;

The mass of phosphorus is 85.64 grams

Follow the steps below to find the atoms of phosphorus

Step 1; Find the moles of phosphorus using the formula below

`\text{ mole = }\frac{\text{ mass}}{\text{ molar mass}}`

Recall, that the unit mass of phosphorus is 30.97u

`\begin{gathered} \text{ mole = }\frac{\text{ 85.64}}{\text{ 30.97}} \\ \text{ mole = 2.77 moles} \end{gathered}`

Step 2; Find the number of atoms of phosphorus using the formula below

`\text{ mole = }\frac{\text{ number of atoms}}{\text{ Avogadro's number}}`

Note, that Avogadro's number is 6.02 x 10^23

`\begin{gathered} \text{ 2.77 = }\frac{\text{ number of atoms}}{\text{ 6.02}*10^(23)} \\ \text{ cross multiply} \\ \text{ Number of atoms = 2.77 }*\text{ 6.02 }*\text{ 10}^(23) \\ \text{ number of atoms = 16.68 }*\text{ 10}^(23) \\ \text{ Number of atoms = 1.668 }*\text{ 10}^(24)\text{ atoms} \end{gathered}`

Therefore, the number of atoms of phosphorus is 1.668 x 10^24 atoms