Answer :
To determine how many moles of sodium (Na) are in [tex]\(1.57 \times 10^{24}\)[/tex] sodium atoms, you need to use Avogadro’s number. Avogadro's number is approximately [tex]\(6.02 \times 10^{23}\)[/tex] atoms per mole, which means that one mole of any substance contains [tex]\(6.02 \times 10^{23}\)[/tex] units of that substance, such as atoms, molecules, or ions.
Here's a step-by-step solution:
1. Identify the number of sodium atoms:
You have [tex]\(1.57 \times 10^{24}\)[/tex] sodium atoms.
2. Recall Avogadro's number:
Avogadro's number is [tex]\(6.02 \times 10^{23}\)[/tex] atoms/mole. This is the conversion factor between atoms and moles.
3. Calculate the number of moles of sodium:
To find the number of moles, divide the number of sodium atoms by Avogadro's number:
[tex]\[
\text{Number of moles of Na} = \frac{1.57 \times 10^{24} \text{ atoms}}{6.02 \times 10^{23} \text{ atoms/mole}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Number of moles of Na} \approx 2.608
\][/tex]
So, there are approximately [tex]\(2.608\)[/tex] moles of sodium in [tex]\(1.57 \times 10^{24}\)[/tex] sodium atoms.
Here's a step-by-step solution:
1. Identify the number of sodium atoms:
You have [tex]\(1.57 \times 10^{24}\)[/tex] sodium atoms.
2. Recall Avogadro's number:
Avogadro's number is [tex]\(6.02 \times 10^{23}\)[/tex] atoms/mole. This is the conversion factor between atoms and moles.
3. Calculate the number of moles of sodium:
To find the number of moles, divide the number of sodium atoms by Avogadro's number:
[tex]\[
\text{Number of moles of Na} = \frac{1.57 \times 10^{24} \text{ atoms}}{6.02 \times 10^{23} \text{ atoms/mole}}
\][/tex]
4. Perform the division:
[tex]\[
\text{Number of moles of Na} \approx 2.608
\][/tex]
So, there are approximately [tex]\(2.608\)[/tex] moles of sodium in [tex]\(1.57 \times 10^{24}\)[/tex] sodium atoms.
