Answer :

To calculate the number of moles in a sample containing [tex]\( 1.37 \times 10^{24} \)[/tex] atoms of Neon, follow these steps:

1. Understand the relationship between atoms and moles:
- Avogadro's number (approximately [tex]\( 6.022 \times 10^{23} \)[/tex]) is the number of units (atoms, molecules, etc.) in one mole of any substance.

2. Given data:
- Number of Neon atoms = [tex]\( 1.37 \times 10^{24} \)[/tex]
- Avogadro's number = [tex]\( 6.022 \times 10^{23} \)[/tex] atoms/mole

3. Use the formula to calculate the number of moles:
[tex]\[
\text{Number of moles} = \frac{\text{Number of atoms}}{\text{Avogadro's number}}
\][/tex]

4. Substitute the given values into the formula:
[tex]\[
\text{Number of moles} = \frac{1.37 \times 10^{24}}{6.022 \times 10^{23}}
\][/tex]

5. Perform the division:
[tex]\[
\text{Number of moles} \approx 2.275
\][/tex]

Thus, the number of moles in the sample containing [tex]\( 1.37 \times 10^{24} \)[/tex] atoms of Neon is approximately 2.275 moles.

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