Answer :

To determine the number of moles in a given number of molecules, we use Avogadro's number, which is the number of molecules in one mole. Avogadro's number is

[tex]$$ N_A = 6.022 \times 10^{23} \text{ molecules/mol}. $$[/tex]

The formula to convert molecules to moles is

[tex]$$ \text{moles} = \frac{\text{number of molecules}}{N_A}. $$[/tex]

Given there are

[tex]$$ 4.3 \times 10^{22} \text{ molecules of } H_3PO_4, $$[/tex]

we substitute the values into the formula:

[tex]$$
\text{moles} = \frac{4.3 \times 10^{22}}{6.022 \times 10^{23}}.
$$[/tex]

When you perform this division, you obtain approximately

[tex]$$
\text{moles} \approx 0.0714.
$$[/tex]

Thus, there are about [tex]$0.0714$[/tex] moles in [tex]$4.3 \times 10^{22}$[/tex] molecules of [tex]$H_3PO_4$[/tex].

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