Given the following reactions

Fe2O3(s) + 3CO (s) → 2Fe (s) + 3CO2(g)ΔH
=-28.0 kJ
3Fe (s) + 4CO2(s) → 4CO (g) +Fe3O4(s)
ΔH = +12.5 kJ

the enthalpy of the reaction of
Fe2O3 with CO
3Fe2O3(s) + CO (g) → CO2(g) + 2Fe3O4(s)
is __________ kJ

33.33KJ

The enthalpy of the reaction can be determined by adding the enthalpies of the two given reactions. However, to make the reaction match, we need to reverse the second reaction and multiply it by 3.

Reversed reaction 2:
4CO(g) + Fe3O4(s) → 3Fe(s) + 4CO2(g)

Multiplying by 3:
12CO(g) + 3Fe3O4(s) → 9Fe(s) + 12CO2(g)

Adding with reaction 1:
Fe2O3(s) + 3CO(g) → 2Fe(s) + 3CO2(g) ΔH = -28.0 kJ

+ 12CO(g) + 3Fe3O4(s) → 9Fe(s) + 12CO2(g) ΔH = -3(12.5 kJ) = -37.5 kJ

----------------------------------
3Fe2O3(s) + 15CO(g) → 6Fe3O4(s) + 15CO2(g) ΔH = -28.0 kJ - 37.5 kJ = -65.5 kJ

Therefore, the enthalpy of the reaction of Fe2O3 with CO is -65.5 kJ.

To find the enthalpy of the reaction:

3Fe2O3(s) + CO(g) → CO2(g) + 2Fe3O4(s)

We can use the given reactions and their enthalpy values to determine the enthalpy of the desired reaction by applying Hess's Law. Hess's Law states that if a reaction can be expressed as the sum of two or more reactions, then the enthalpy change of the overall reaction is equal to the sum of the enthalpy changes of the individual reactions.

Here's how we can solve it:

1. We need to reverse the first equation and multiply it by 2 to match the coefficient of Fe3O4(s) in the second equation:
2Fe(s) + 3CO2(g) → Fe2O3(s) + 3CO(g)
ΔH = +28.0 kJ

2. Multiply the second equation by 3 to match the coefficient of CO(g) in the first equation:
9Fe(s) + 12CO2(g) → 16CO(g) + 3Fe3O4(s)
ΔH = +37.5 kJ

3. Now, we can add the two modified equations together:
2Fe(s) + 3CO2(g) + 9Fe(s) + 12CO2(g) → Fe2O3(s) + 3CO(g) + 16CO(g) + 3Fe3O4(s)
ΔH_total = (+28.0 kJ) + (+37.5 kJ)
ΔH_total = +65.5 kJ

Since the sum of the enthalpies of the individual reactions gives us the enthalpy of the desired reaction, the enthalpy of the reaction of:
Fe2O3 with CO
3Fe2O3(s) + CO(g) → CO2(g) + 2Fe3O4(s)
is +65.5 kJ.

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