Question
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 equivalent to \(4.816 \times 10^{24}\) atoms, we can use Avogadro's number, which is approximately \(6.022 \times 10^{23}\) atoms/mole.
The formula to calculate moles from atoms is:
\[
\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\]
Plugging in the values:
\[
\text{moles} = \frac{4.816 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}
\]
Calculating this gives:
\[
\text{moles} \approx \frac{4.816}{6.022} \times 10^{1}
\]
Calculating the fraction:
\[
\frac{4.816}{6.022} \approx 0.7996
\]
Thus:
\[
\text{moles} \approx 0.8 \text{ moles}
\]
Therefore, 4.816 × 10²⁴ atoms of aluminum is equivalent to approximately **0.8 moles**.
The correct answer is **0.8**.
The formula to calculate moles from atoms is:
\[
\text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's number}}
\]
Plugging in the values:
\[
\text{moles} = \frac{4.816 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}
\]
Calculating this gives:
\[
\text{moles} \approx \frac{4.816}{6.022} \times 10^{1}
\]
Calculating the fraction:
\[
\frac{4.816}{6.022} \approx 0.7996
\]
Thus:
\[
\text{moles} \approx 0.8 \text{ moles}
\]
Therefore, 4.816 × 10²⁴ atoms of aluminum is equivalent to approximately **0.8 moles**.
The correct answer is **0.8**.