To determine how many moles of zinc (Zn) are present in 1.61 x 10^24 zinc atoms, you can follow these steps:
1. Identify Avogadro's number: Avogadro's number is a fundamental constant that represents the number of atoms in one mole of a substance. It is given as approximately [tex]\(6.022 \times 10^{23}\)[/tex] atoms/mole.
2. Given Data: The number of zinc atoms provided is [tex]\(1.61 \times 10^{24}\)[/tex] atoms.
3. Set Up the Conversion: To find the number of moles, we need to divide the given number of atoms by Avogadro's number. This is because one mole of a substance contains [tex]\(6.022 \times 10^{23}\)[/tex] atoms.
4. Perform the Calculation:
[tex]\[
\text{Number of moles of zinc} = \frac{\text{Number of atoms}}{\text{Avogadro's number}}
\][/tex]
[tex]\[
\text{Number of moles of zinc} = \frac{1.61 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}
\][/tex]
5. Result: The computation yields:
[tex]\[
\text{Number of moles of zinc} \approx 2.674 \text{ moles}
\][/tex]
Therefore, there are approximately 2.674 moles of zinc in [tex]\(1.61 \times 10^{24}\)[/tex] zinc atoms.
