Question

determine the quantity of molecules in 2.00 moles of p₄
molecules p₄
starting amount × ( / )
molecules p₄
add factor answer reset
× ( )
1.20 × 10²⁴ 2 123.90 1 6.022 × 10²³ 2.41 × 10²⁴ 4.82 × 10²⁴
4 2.00 30.97
mol p₄ g/mol p₄ g p₄ molecules p₄

Explanation:

Step1: Recall Avogadro's number

Avogadro's number is \(6.022\times10^{23}\) molecules per mole. We start with 2.00 moles of \(P_4\).

Step2: Set up the conversion

To find the number of molecules, we multiply the number of moles by Avogadro's number. So the calculation is \(2.00\ \text{mol}\ P_4\times\frac{6.022\times10^{23}\ \text{molecules}\ P_4}{1\ \text{mol}\ P_4}\).

Step3: Perform the multiplication

\(2.00\times6.022\times10^{23}=1.2044\times10^{24}\approx1.20\times10^{24}\) (rounded appropriately).

Answer:

The number of molecules of \(P_4\) in 2.00 moles is \(1.20\times10^{24}\) molecules. The setup is \(2.00\ \text{mol}\ P_4\times\frac{6.022\times10^{23}\ \text{molecules}\ P_4}{1\ \text{mol}\ P_4}\) and the answer is \(1.20\times10^{24}\) molecules.