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ChemistryThermochemistryHess's Law of Constant Heat SummationMedium2 minQB
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Calculate ΔH for the following reaction at 298 K:

Fe2O3(s) + 3CO(g) → 2Fe(s) + 3CO2(g)

from the following thermochemical equations:

(i) 3Fe2O3(s) + CO(g) → 2Fe3O4(s) + CO2(g); ΔH = -46.4 kJ

(ii) FeO(s) + CO(g) → Fe(s) + CO2(g); ΔH = 9.0 kJ

(iii) Fe3O4(s) + CO(g) → 3FeO(s) + CO2(g); ΔH = -41.0 kJ

Options:

Answer:
A
Solution:

To achieve the target reaction, 3Fe2O3 + 9CO tarrow 6Fe + 9CO2, we combine the given reactions as follows: (i) + 2(iii) + 6(ii). This combination causes the Fe3O4 and FeO intermediates to cancel out.

The total enthalpy change, 3Δ H, is calculated as:

3Δ H = -46.4 + 2(-41.0) + 6(9.0)

3Δ H = -46.4 - 82.0 + 54.0

3Δ H = -74.4 kJ

Therefore, the enthalpy change for the target reaction, Δ H, is:

Δ H = (-74.4)/3 = -24.8 kJ

This corresponds to option (a).

Stream:JEESubject:ChemistryTopic:ThermochemistrySubtopic:Hess's Law of Constant Heat Summation
⏱ 2mℹ️ Source: QB

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