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21-Mat-B2 Pyrometallurgy · May 2015

Question 6 of 6: Co-H2O Eh-pH diagram: dissolution paths for Co3O4

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

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.

Note on the exam title

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:


Problem 6 — Co-H2O Eh-pH diagram: dissolution paths for Co3O4 (20 marks)

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.]

Fig. 5 — the printed Co-H2O Eh-pH (Pourbaix) diagram: CoO2 (top, most oxidized), Co2+ (upper-left, low pH), Co3O4(s) (centre), Co(OH)2(s) (lower-right, high pH), and Co metal (bottom, most reduced). The two dashed lines are the standard water-stability reference lines (upper = O2/H2O, lower = H2/H+), not Co-species boundaries.

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."

02468101214-2.0-1.2-0.40.41.22.0pHEh (V)CoO2Co2+Co3O4(s)Co(OH)2(s)Co1: reductive acid leach → Co2+2/3: thermochemical reduction (roast) → CoO / Co, then acid leachSchematic Co–H2O field layout (approximate, from the printed diagram) with dissolution paths
Fig. 6 — schematic (not to scale) field layout with the three dissolution paths sketched: (1) direct reductive acid leach straight into the Co2+ field; (2)/(3) a thermochemical reduction step (roast) down into the Co(OH)2/Co(metal) fields, followed by a hydrochemical acid-leach step back to Co2+ in solution.

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).

Reductive acid leach(H2SO4 + SO2)Co3O4(s) feedSO2(g) + H2SO4CoSO4(aq)residue
Fig. 7 — Path 1: single-stage reductive acid leach (SO2 + H2SO4) directly dissolving Co3O4 to CoSO4(aq).

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).

Reducing roast(H2/CO)Non-oxidativeacid leachCo3O4(s) feedH2(g)H2O(g) off-gasCoO(s)H2SO4CoSO4(aq)
Fig. 8 — Path 2: reducing roast (H2) to CoO, then a non-oxidative acid leach to CoSO4(aq).

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).

Full reducing roast(excess H2)Oxidativeacid leachCo3O4(s) feedH2(g) excessH2O(g) off-gasCo(s) metalH2SO4CoSO4(aq)H2(g) evolved
Fig. 9 — Path 3: full reducing roast (excess H2) to metallic Co, then an oxidative acid leach (H2 evolved) to CoSO4(aq).
PathRouteClassification
1Co3O4 $\xrightarrow{\text{SO}_2+\text{H}_2\text{SO}_4}$ Co2+(aq) — single-stepReductive (hydrochemical)
2aCo3O4 $\xrightarrow{\text{H}_2,\ \Delta}$ CoO(s)Reductive (thermochemical)
2bCoO(s) $\xrightarrow{\text{H}_2\text{SO}_4}$ Co2+(aq)Non-oxidative (hydrochemical)
3aCo3O4 $\xrightarrow{4\text{H}_2,\ \Delta}$ Co(s)Reductive (thermochemical)
3bCo(s) $\xrightarrow{\text{H}_2\text{SO}_4}$ Co2+(aq) + H2Oxidative (hydrochemical)
Check. The schematic in Fig. 6 reproduces the printed diagram's field ORDER and general shape from the labelled regions and the two standard water-stability dashed reference lines (whose printed values at pH 0 and pH 14 match the textbook O2/H2O and H+/H2 lines almost exactly, confirming they are NOT Co-specific boundaries).
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