Answer :
To find out how many moles of cobalt are equivalent to [tex]$6.00 \times 10^{12}$[/tex] atoms of cobalt, you need to use Avogadro's number. Avogadro's number is approximately [tex]\(6.022 \times 10^{23}\)[/tex] atoms per mole, and it tells us how many atoms are in one mole of a substance.
Here's a step-by-step guide to solving this:
1. Identify the number of atoms given: We have [tex]\(6.00 \times 10^{12}\)[/tex] atoms of cobalt.
2. Use Avogadro's number for conversion:
- Avogadro's number is [tex]\(6.022 \times 10^{23}\)[/tex] atoms/mole. This is a constant that allows us to convert between the number of atoms and moles.
3. Set up the conversion: To find the number of moles, divide the number of atoms by Avogadro's number using the equation:
[tex]\[
\text{moles of cobalt} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\][/tex]
Substitute the known values:
[tex]\[
\text{moles of cobalt} = \frac{6.00 \times 10^{12}}{6.022 \times 10^{23}}
\][/tex]
4. Calculate the result:
- Performing this division yields approximately: [tex]\(9.963 \times 10^{-12}\)[/tex].
Therefore, [tex]$6.00 \times 10^{12}$[/tex] atoms of cobalt is equivalent to about [tex]\(9.963 \times 10^{-12}\)[/tex] moles of cobalt.
Here's a step-by-step guide to solving this:
1. Identify the number of atoms given: We have [tex]\(6.00 \times 10^{12}\)[/tex] atoms of cobalt.
2. Use Avogadro's number for conversion:
- Avogadro's number is [tex]\(6.022 \times 10^{23}\)[/tex] atoms/mole. This is a constant that allows us to convert between the number of atoms and moles.
3. Set up the conversion: To find the number of moles, divide the number of atoms by Avogadro's number using the equation:
[tex]\[
\text{moles of cobalt} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\][/tex]
Substitute the known values:
[tex]\[
\text{moles of cobalt} = \frac{6.00 \times 10^{12}}{6.022 \times 10^{23}}
\][/tex]
4. Calculate the result:
- Performing this division yields approximately: [tex]\(9.963 \times 10^{-12}\)[/tex].
Therefore, [tex]$6.00 \times 10^{12}$[/tex] atoms of cobalt is equivalent to about [tex]\(9.963 \times 10^{-12}\)[/tex] moles of cobalt.
