Question
1. How many moles of aluminum are equivalent to 4.816 × 1024 atoms?
12.5
8
1.25
0.8
12.5
8
1.25
0.8
Answers
GPT-4o mini
To find the number of moles of aluminum that correspond to \(4.816 \times 10^{24}\) atoms, 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:
\[
\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\]
Substituting in the values:
\[
\text{moles} = \frac{4.816 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}
\]
Calculating this gives:
\[
\text{moles} \approx \frac{4.816}{6.022} \times 10^{24 - 23} \approx \frac{4.816}{6.022} \approx 0.799
\]
Thus, the number of moles of aluminum is approximately \(0.8\).
Therefore, the correct answer is:
**0.8**.
The formula to convert atoms to moles is:
\[
\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\]
Substituting in the values:
\[
\text{moles} = \frac{4.816 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}
\]
Calculating this gives:
\[
\text{moles} \approx \frac{4.816}{6.022} \times 10^{24 - 23} \approx \frac{4.816}{6.022} \approx 0.799
\]
Thus, the number of moles of aluminum is approximately \(0.8\).
Therefore, the correct answer is:
**0.8**.