21-Mat-B2 Pyrometallurgy · May 2015
Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
Paper format. National Exams, May 2015 — 10-Met-B2, Hydrometallurgy and Electrometallurgy. Three hours, closed book, approved Casio/Sharp calculator only. Six numbered Problems, each worth 20 marks: Problems 1 and 2 are compulsory; the rubric asks for any 3 of the remaining 4 (Problems 3-6). All six Problems are answered below.
Nothing on the paper is a pyrometallurgy (roasting, smelting) question; the syllabus actually examined is aqueous leaching, solubility/Eh-pH (Pourbaix) diagrams, electrowinning thermodynamics, and hydrometallurgical flowsheeting.
Reference texts. The answers below are keyed to the works normally recommended for this syllabus code:
Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.
[Figure not reproduced: Co-H2O Eh-pH diagram, as printed on the exam. See the official exam paper or the cited reference text.]
Reading the diagram. Vertically (at fixed pH), the field order from bottom to top is Co (metal, oxidation state 0) → Co2+/Co(OH)2(s) (state +2) → Co3O4(s) (mixed-valence, average state +8/3 ≈ +2.67) → CoO2 (state +4) — i.e. Eh increases with the average Co oxidation state, as it must. Co3O4 sits at a HIGHER average oxidation state than the aqueous Co2+ ion, so dissolving Co3O4 to the only aqueous species shown (Co2+) is inherently at least partly a REDUCTION (2 of every 3 Co atoms must go from +3 to +2). The diagram shows three distinct routes across the Co3O4 boundary, matching the question's explicit mention of "combined thermochemical/hydrochemical treatment."
Path 1 — direct reductive acid leach (single hydrochemical step). Crossing straight from Co3O4 into the Co2+ field at low-to-moderate pH, using an added chemical reductant together with acid:
$$\text{Co}_3\text{O}_4(\text{s})+\text{SO}_2(\text{g})+2\text{H}_2\text{SO}_4(\text{aq})\rightarrow 3\text{CoSO}_4(\text{aq})+2\text{H}_2\text{O}.$$
Classification: REDUCTIVE (SO2 is oxidized to sulfate, supplying the 2 electrons that convert the 2 Co3+ per formula unit down to Co2+; H2SO4 supplies the acid to dissolve all three Co as the sulfate salt).
Path 2 — combined thermochemical (partial reduction) + hydrochemical (non-oxidative leach). A reducing roast first converts Co3O4 to the +2 oxide CoO (thermochemical step, no aqueous chemistry involved), then a plain acid leach dissolves CoO without any further change in oxidation state:
$$\text{Thermochemical: } \text{Co}_3\text{O}_4(\text{s})+\text{H}_2(\text{g})\rightarrow 3\text{CoO}(\text{s})+\text{H}_2\text{O}(\text{g})$$
$$\text{Hydrochemical: } \text{CoO}(\text{s})+\text{H}_2\text{SO}_4(\text{aq})\rightarrow \text{CoSO}_4(\text{aq})+\text{H}_2\text{O}(\text{l})$$
Classification: the roast step is REDUCTIVE (H2 supplies the electrons, thermally rather than electrochemically); the leach step is NON-OXIDATIVE (Co stays at +2 throughout — simple acid dissolution of an already-Co2+ solid).
Path 3 — combined thermochemical (full reduction to metal) + hydrochemical (oxidative leach). A stronger reducing roast (excess H2) drives Co3O4 all the way to metallic cobalt, which is then dissolved oxidatively by acid (the metal itself is oxidized, evolving H2 gas):
$$\text{Thermochemical: } \text{Co}_3\text{O}_4(\text{s})+4\text{H}_2(\text{g})\rightarrow 3\text{Co}(\text{s})+4\text{H}_2\text{O}(\text{g})$$
$$\text{Hydrochemical: } \text{Co}(\text{s})+\text{H}_2\text{SO}_4(\text{aq})\rightarrow \text{CoSO}_4(\text{aq})+\text{H}_2(\text{g})$$
Classification: the roast step is REDUCTIVE (thermal, as in Path 2 but carried further); the leach step is OXIDATIVE (Co0 loses 2 electrons to H+, which is reduced to H2 — the metal itself is the species being oxidized).
| Path | Route | Classification |
|---|---|---|
| 1 | Co3O4 $\xrightarrow{\text{SO}_2+\text{H}_2\text{SO}_4}$ Co2+(aq) — single-step | Reductive (hydrochemical) |
| 2a | Co3O4 $\xrightarrow{\text{H}_2,\ \Delta}$ CoO(s) | Reductive (thermochemical) |
| 2b | CoO(s) $\xrightarrow{\text{H}_2\text{SO}_4}$ Co2+(aq) | Non-oxidative (hydrochemical) |
| 3a | Co3O4 $\xrightarrow{4\text{H}_2,\ \Delta}$ Co(s) | Reductive (thermochemical) |
| 3b | Co(s) $\xrightarrow{\text{H}_2\text{SO}_4}$ Co2+(aq) + H2 | Oxidative (hydrochemical) |