2Fe2O3(s) + 3C(s) --------------> 4Fe(s) + 3CO2 (g)
First balance the number of oxygens multiplying by 3 x CO2 and 2 x Fe2O3 followed by carbon and Fe in the last step.
2Fe2O3(s) + 3C(s) --------------> 4Fe(s) + 3CO2 (g)
Stoichiometrically, 2 mol 3 mol 4 mol 3 mol
2 moles of Fe2O3 react with excess C to produce 4 moles of Fe
1 mole of Fe2O3 reacts with excess C to produce 4/2=2 moles of Fe
0.75 moles of Fe2O3 react with excess C to produce 2*0.75= 1.50 moles of Fe
Answer is A
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