Question
How many moles of iron are in 1.25x10^26 atoms of iron
Answers
GPT-4o mini
To find the number of moles of iron in \( 1.25 \times 10^{26} \) atoms of iron, we can use Avogadro's number, which is approximately \( 6.022 \times 10^{23} \) atoms per mole.
The formula to convert atoms to moles is:
\[
\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\]
Plugging in the values, we get:
\[
\text{moles} = \frac{1.25 \times 10^{26}}{6.022 \times 10^{23}}
\]
Calculating this gives:
\[
\text{moles} \approx \frac{1.25}{6.022} \times 10^{26 - 23} = \frac{1.25}{6.022} \times 10^{3}
\]
Calculating \( \frac{1.25}{6.022} \):
\[
\frac{1.25}{6.022} \approx 0.207
\]
So:
\[
\text{moles} \approx 0.207 \times 10^{3} = 207
\]
Thus, the number of moles of iron in \( 1.25 \times 10^{26} \) atoms of iron is approximately \( 207 \) moles.
The formula to convert atoms to moles is:
\[
\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\]
Plugging in the values, we get:
\[
\text{moles} = \frac{1.25 \times 10^{26}}{6.022 \times 10^{23}}
\]
Calculating this gives:
\[
\text{moles} \approx \frac{1.25}{6.022} \times 10^{26 - 23} = \frac{1.25}{6.022} \times 10^{3}
\]
Calculating \( \frac{1.25}{6.022} \):
\[
\frac{1.25}{6.022} \approx 0.207
\]
So:
\[
\text{moles} \approx 0.207 \times 10^{3} = 207
\]
Thus, the number of moles of iron in \( 1.25 \times 10^{26} \) atoms of iron is approximately \( 207 \) moles.