Question

Given the following equation, H2O(g) + CO(g) → H2(g) + CO2(g) ΔG°rxn = -28.6 kJ Calculate...

Given the following equation, H2O(g) + CO(g) → H2(g) + CO2(g) ΔG°rxn = -28.6 kJ Calculate ΔG°rxn for the following reaction. 8 H2O(g) + 8 CO(g) → 8 H2(g) + 8 CO2(g)

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Answer #1

ΔG°rxn of the given reaction can be calculated by using Hess’s Law of constant heat summation, which is also applicable to free energy. According to this law, the total free energy change for the given reaction is sum of all the changes. Thus, ΔG°rxn for the given reaction can be calculated as follows:

H2O(g) + CO(g)    →     H2(g) + CO2(g)                      ΔG°rxn = -28.6 kJ

Multiplying both sides by 8 we can get the desired equation,

8 H2O(g) + 8 CO(g)    →     8 H2(g) + 8 CO2(g)                         ΔG°rxn = -28.6 kJ x 8 = -228.8 kJ

Thus, ΔG°rxn for given reaction is -228.8 kJ.

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