🤓 Based on our data, we think this question is relevant for Professor Dixon's class at UCF.

Solution: Given the following thermochemical data:Fe2O3(s) + CO(g) → 2 FeO(s) + CO2(g)         ∆H = −2.9 kJFe(s) + CO2(g) → FeO(s) + CO(g)                  ∆H = 11.3 kJdetermine ∆H for the following reaction:Fe2O3(s) + 3 CO(g) −−→ 2 Fe(s) + 3 CO2(g)(A) 8.4 kJ (B) -8.4 kJ (C) -25.5 kJ (D) 25.5 kJ (E) -19.7 kJ

Problem

Given the following thermochemical data:

Fe2O3(s) + CO(g) → 2 FeO(s) + CO2(g)         ∆H = −2.9 kJ

Fe(s) + CO2(g) → FeO(s) + CO(g)                  ∆H = 11.3 kJ

determine ∆H for the following reaction:

Fe2O3(s) + 3 CO(g) −−→ 2 Fe(s) + 3 CO2(g)

(A) 8.4 kJ 

(B) -8.4 kJ 

(C) -25.5 kJ 

(D) 25.5 kJ 

(E) -19.7 kJ

Solution

Apply Hess’s Law to determine the ΔH of the overall reaction where we have to get the sum of ΔH of the elementary reactions given

  • The overall reaction appears to be:

Fe2O3(s) + 3 CO(g)  2 Fe(s) + 3 CO2(g)

  • And the elementary reactions are:

Fe2O3(s) + CO(g)  2 FeO(s) + CO2(g)         ∆H = −2.9 kJ

Fe(s) + CO2(g)  FeO(s) + CO(g)                  ∆H = 11.3 kJ

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