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.
1. Reactions for each step.
(a) Leaching – chloride-complexation-assisted metathesis converts the insoluble sulphate to a soluble chloro-complex: $$\text{PbSO}_4(\text{s})+4\text{Cl}^-(\text{aq})\rightarrow \text{PbCl}_4^{2-}(\text{aq})+\text{SO}_4^{2-}(\text{aq}).$$ (Written more simply as $\text{PbSO}_4(\text{s})+2\text{Cl}^-\rightarrow \text{PbCl}_2(\text{aq})+\text{SO}_4^{2-}$ if chloro-complexation is not carried further.)
(b) Purification – lime and HCl together neutralize and precipitate the sulphate as gypsum while regenerating chloride for recycle: $$\text{Ca(OH)}_2(\text{s})+2\text{HCl}(\text{aq})+\text{SO}_4^{2-}(\text{aq})\rightarrow \text{CaSO}_4\!\cdot\!2\text{H}_2\text{O}(\text{s})\downarrow\ +\ 2\text{Cl}^-(\text{aq}).$$ Ca(OH)2 neutralizes the HCl's acidity (keeping pH neutral) while the liberated Ca2+ precipitates the sulphate as gypsum, and the chloride is regenerated in solution for reuse.
(c) Electrowinning – cathodic Pb deposition paired with anodic oxygen evolution (per the question's own statement that "metallic lead (and oxygen)" are produced): $$\text{Cathode: } \text{PbCl}_4^{2-}+2e^-\rightarrow \text{Pb(s)}+4\text{Cl}^-,\qquad \text{Anode: } \text{H}_2\text{O}\rightarrow \tfrac12\text{O}_2(\text{g})+2\text{H}^++2e^-.$$ Overall: $$\text{PbCl}_4^{2-}+\text{H}_2\text{O}\rightarrow \text{Pb(s)}+4\text{Cl}^-+2\text{H}^++\tfrac12\text{O}_2(\text{g}).$$
2. Flowsheet.
3-4. Electrowinning potentials (Given/Find/Approach for the calc parts).
Given. $E^\circ(\text{Pb}^{2+}/\text{Pb})=-0.13$ V; $E^\circ(\tfrac12\text{Cl}_2/\text{Cl}^-)=+1.36$ V; pH = 7 (does not enter either half-reaction directly, since neither involves H+); assumed "reasonable" concentrations, stated explicitly per the question's own instruction: $[\text{Pb}^{2+}]=0.1$ M (typical electrowinning bath concentration) and $[\text{Cl}^-]=5$ M (a near-saturated NaCl brine, consistent with "brine solution" in part (a)).
Find. (3) the minimum cathode potential to deposit Pb; (4) the maximum anode potential before Cl2 gas evolves.
Approach. Apply the Nernst equation to each of the two GIVEN half-reactions separately, at 25°C ($\frac{RT}{F}\ln 10=0.0592$ V).
| Quantity | Result |
|---|---|
| Minimum electrowinning (cathode) potential, $[\text{Pb}^{2+}]=0.1$ M | $\boxed{-0.160\ \text{V vs. SHE}}$ |
| Maximum electrowinning (anode) potential to avoid Cl2, $[\text{Cl}^-]=5$ M | $\boxed{+1.32\ \text{V vs. SHE}}$ |
5. Why electrowinning may work poorly under very acidic conditions, and the needed process controls. At very low pH, the competing hydrogen-evolution half-reaction $\text{H}^++e^-\rightarrow\tfrac12\text{H}_2$ ($E=-0.0592\times\text{pH}$) becomes progressively LESS negative (rises toward 0 V) as pH falls, moving closer to (and potentially above) the $-0.160$ V needed to deposit Pb. Once $E(\text{H}^+/\text{H}_2)$ exceeds $E(\text{Pb}^{2+}/\text{Pb})$, hydrogen co-evolves at the cathode, wasting current on gas production instead of metal deposition and lowering the process's current efficiency — exactly the same competing-reaction mechanism analyzed quantitatively for nickel in Problem 5. Very acidic conditions can also destabilize the chloro-lead complex and encourage local re-precipitation of solid PbCl2 if chloride activity shifts. Process controls: (i) buffer/control the electrolyte pH near neutral, using the SAME lime addition already used in purification (electrowinning itself generates H+ at the anode via O2 evolution, so the bath acidifies over time unless continuously neutralized); (ii) maintain an adequately high, well-controlled $[\text{Pb}^{2+}]$ to keep the Pb deposition potential comfortably above the H2-evolution line; (iii) monitor and control chloride concentration to preserve the safety margin against Cl2 evolution identified in part 4; (iv) consider a diaphragm/membrane cell to isolate anolyte/catholyte pH swings.