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Consider the following chemical reaction : aFe 203 (s) + bCO(g) —» cFe (s) + dC02 In the balanced chemical equation of the above, which of the following will be the values of the coefficients a, b, c and d respectively?
Explanation
To balance the chemical equation aFe2O3(s) + bCO(g) → cFe(s) + dCO2(g), we must ensure the number of atoms for each element is equal on both sides. Starting with iron (Fe), there are 2 atoms on the reactant side (a=1), so we need 2 atoms on the product side (c=2). For oxygen, the reactant side has 3 (from Fe2O3) + b (from CO) atoms, while the product side has 2d atoms. For carbon, b must equal d. By substituting b for d, the oxygen balance becomes 3 + b = 2b, which simplifies to b = 3. Consequently, d also equals 3. The final balanced equation is 1Fe2O3 + 3CO → 2Fe + 3CO2. Thus, the coefficients a, b, c, and d are 1, 3, 2, and 3 respectively, matching option 2.
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