Solution:
Es to leave itself two reactions to formulate:
(a) H2(g) + 1/2·O2(g) → H2O(g) and
b) H2(g) + O2(g) → H2O2(g)
Note: In order to compare the results with each other, one must look at the same number and H2O respectively. H2O2 related!
Table of values showing that all the particles involved are in a gaseous state:
| ΔHof(kJ·mol-1) | So(J·K-1·mol-1) |
| H2 (g) | 0 | 131 |
| O2 (g) | 0 | 205 |
| H2O (g) | -242 | 189 |
| H2O2 (g) | -136 | 233 |
- reaction (a), H2O is produced
[translation unavailable]: ΔHoR = ∑ΔHof(Produkte) – ∑ΔHof(Edukte)
ΔHoR(H2O) = (-242) – (0 + 1/2·0) = -242 kJ/mol
ΔSoR(H2O) = (189) – (131 + 1/2·205) = -44.5 J/(mol·K)
[translation unavailable]: ΔGoR = ΔHoR – T· ΔSoR
ΔGoR(H2O) = -242 – 800·-0.0445 = -206.4 kJ/mol
- reaction b), H2O2 is produced
[translation unavailable]: ΔHoR = ∑ΔHof(Produkte) – ∑ΔHof(Edukte)
ΔHoR(H2O2) = (-136) – (0 + 1/2·0) = -136 kJ/mol
ΔSoR(H2O2) = (233) – (131 + 205) = -103 J/(mol·K)
[translation unavailable]: ΔGoR = ΔHoR – T· ΔSoR
ΔGoR(H2O2) = -136 – 800·-0.103 = -53.6 kJ/mol
The calculation shows that although both reactions would have to be exergonic ( ΔGoR < 0) and therefore voluntary, reaction a) is almost a factor 4 more exergonic and is therefore preferred.