Answer :

Sure! Let's break down the problem step-by-step.

To find the number of moles in [tex]\( 4.3 \times 10^{22} \)[/tex] molecules of [tex]\( H_3PO_4 \)[/tex], we need to use Avogadro's number. Avogadro's number is [tex]\( 6.022 \times 10^{23} \)[/tex] molecules per mole. This number helps us convert between the number of molecules and the amount in moles.

Here's the step-by-step solution:

1. Identify the given values:
- Number of molecules of [tex]\( H_3PO_4 \)[/tex]: [tex]\( 4.3 \times 10^{22} \)[/tex]
- Avogadro's number: [tex]\( 6.022 \times 10^{23} \)[/tex] molecules per mole

2. Set up the conversion:
We want to convert molecules to moles. The formula for this conversion is:
[tex]\[
\text{Number of moles} = \frac{\text{Number of molecules}}{\text{Avogadro's number}}
\][/tex]

3. Insert the values into the formula:
[tex]\[
\text{Number of moles} = \frac{4.3 \times 10^{22} \text{ molecules}}{6.022 \times 10^{23} \text{ molecules/mole}}
\][/tex]

4. Perform the division:
[tex]\[
\text{Number of moles} = \frac{4.3 \times 10^{22}}{6.022 \times 10^{23}} \approx 0.0714 \text{ moles}
\][/tex]

Therefore, [tex]\( 4.3 \times 10^{22} \)[/tex] molecules of [tex]\( H_3PO_4 \)[/tex] are approximately equal to [tex]\( 0.0714 \)[/tex] moles.

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Rewritten by : Barada