CO + Fe2O3 = CO2 + FeO

carbon monoxide + iron(III) oxide ⟶ carbon dioxide + iron(II) oxide

Balance the chemical equation algebraically: + ⟶ + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 ⟶ c_3 + c_4 Set the number of atoms in the reactants equal to the number of atoms in the products for C, O and Fe: C: | c_1 = c_3 O: | c_1 + 3 c_2 = 2 c_3 + c_4 Fe: | 2 c_2 = c_4 Since the coefficients are relative quantities and underdetermined, choose a coefficient to set arbitrarily. To keep the coefficients small, the arbitrary value is ordinarily one. For instance, set c_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 1 c_4 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | + ⟶ + 2

+ ⟶ +

carbon monoxide + iron(III) oxide ⟶ carbon dioxide + iron(II) oxide

| carbon monoxide | iron(III) oxide | carbon dioxide | iron(II) oxide molecular enthalpy | -110.5 kJ/mol | -826 kJ/mol | -393.5 kJ/mol | -272 kJ/mol total enthalpy | -110.5 kJ/mol | -826 kJ/mol | -393.5 kJ/mol | -544 kJ/mol | H_initial = -936.5 kJ/mol | | H_final = -937.5 kJ/mol | ΔH_rxn^0 | -937.5 kJ/mol - -936.5 kJ/mol = -1 kJ/mol (exothermic) | | |

| carbon monoxide | iron(III) oxide | carbon dioxide | iron(II) oxide molecular free energy | -137 kJ/mol | -742.2 kJ/mol | -394.4 kJ/mol | -255 kJ/mol total free energy | -137 kJ/mol | -742.2 kJ/mol | -394.4 kJ/mol | -510 kJ/mol | G_initial = -879.2 kJ/mol | | G_final = -904.4 kJ/mol | ΔG_rxn^0 | -904.4 kJ/mol - -879.2 kJ/mol = -25.2 kJ/mol (exergonic) | | |

| carbon monoxide | iron(III) oxide | carbon dioxide | iron(II) oxide molecular entropy | 198 J/(mol K) | 90 J/(mol K) | 214 J/(mol K) | 61 J/(mol K) total entropy | 198 J/(mol K) | 90 J/(mol K) | 214 J/(mol K) | 122 J/(mol K) | S_initial = 288 J/(mol K) | | S_final = 336 J/(mol K) | ΔS_rxn^0 | 336 J/(mol K) - 288 J/(mol K) = 48 J/(mol K) (endoentropic) | | |

| carbon monoxide | iron(III) oxide | carbon dioxide | iron(II) oxide Hill formula | CO | Fe_2O_3 | CO_2 | FeO name | carbon monoxide | iron(III) oxide | carbon dioxide | iron(II) oxide IUPAC name | carbon monoxide | | carbon dioxide | oxoiron