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Multiple Choice
Given the reaction: 2Al2O3 → 4Al + 3O2, how many moles of Al would be produced from 20 moles of Al2O3?
A
30 moles
B
40 moles
C
20 moles
D
10 moles
Verified step by step guidance
1
Identify the balanced chemical equation: \$2Al_2O_3 \rightarrow 4Al + 3O_2$.
Determine the mole ratio between \(Al_2O_3\) and \(Al\) from the balanced equation. For every 2 moles of \(Al_2O_3\), 4 moles of \(Al\) are produced.
Set up a proportion to find the moles of \(Al\) produced from 20 moles of \(Al_2O_3\): \(\frac{4\ \text{moles } Al}{2\ \text{moles } Al_2O_3} = \frac{x\ \text{moles } Al}{20\ \text{moles } Al_2O_3}\).
Solve for \(x\) by cross-multiplying and dividing: \(x = \frac{4}{2} \times 20\).
Interpret the result as the number of moles of \(Al\) produced from 20 moles of \(Al_2O_3\).