Question

2 fe₂o₃ + 3 c → 4 fe + 3 co₂

1. how many moles of fe will be produced if 22.897 grams of co₂ are produced?

22.897

Explanation:

Step1: Calculate moles of \( CO_2 \)

Molar mass of \( CO_2 \) is \( 12.01 + 2\times16.00 = 44.01 \, g/mol \).
Moles of \( CO_2 = \frac{mass}{molar\ mass} = \frac{22.897\ g}{44.01\ g/mol} \approx 0.5203\ mol \).

Step2: Use stoichiometry from reaction

From \( 2Fe_2O_3 + 3C
ightarrow 4Fe + 3CO_2 \), the mole ratio of \( Fe \) to \( CO_2 \) is \( \frac{4}{3} \).
Moles of \( Fe = moles\ of\ CO_2 \times \frac{4}{3} = 0.5203\ mol \times \frac{4}{3} \approx 0.6937\ mol \).

Answer:

\( \approx 0.694 \) moles (or more precisely \( 0.6937 \) moles)