Answer :

To find out how many moles of carbon (C) are present in [tex]4.3 \times 10^{24}[/tex] atoms, we'll need to use Avogadro's number.

Avogadro's number is [tex]6.022 \times 10^{23}[/tex], which tells us the number of atoms in one mole of any substance.

Here's a step-by-step guide on how to calculate the moles of carbon:

  1. Identify the given information: You have [tex]4.3 \times 10^{24}[/tex] atoms of carbon.

  2. Use Avogadro's number: [tex]6.022 \times 10^{23}[/tex] atoms = 1 mole.

  3. Set up the calculation: Divide the number of atoms you have by Avogadro's number to find the number of moles.

    [tex]\text{Moles of C} = \frac{4.3 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}[/tex]

  4. Perform the calculation:

    [tex]\text{Moles of C} \approx 7.14 \, \text{moles}[/tex]

Therefore, there are approximately 7.14 moles of carbon in [tex]4.3 \times 10^{24}[/tex] atoms of carbon.

This process involves understanding how Avogadro's number relates atoms to moles, which is a fundamental concept in chemistry!

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Rewritten by : Barada