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21-Mat-A3 Structure and Characterization of Materials · December 2016

Question 4 of 7: Light Metals Production (20 marks)

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

Notes on this paper

Paper format. National Exams, December 2016 — 10-Met-A3, Metal Extraction Processes. Three hours, closed book, one approved calculator (Casio or Sharp). Seven problems of 20 marks each; the rubric asks for any five, and only the first five in the answer book are marked. All seven are solved here, because this set is a study resource rather than an exam script.

Note on the exam title. The printed exam header reads 10-Met-A3, Metal Extraction Processes. The content is extractive metallurgy — mineral processing, mass and heat balances, ironmaking, magnesium and aluminum production, hydrometallurgy and electrometallurgy — and is answered as such.

Reference texts. The answers below are keyed to the works normally recommended for this syllabus code:



Question 4 — Light Metals Production (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.

(a) The silicothermic (Pidgeon) process. The process reduces calcined dolomite with ferrosilicon under vacuum, and produces magnesium directly as a condensed vapour of very high purity. It is a Canadian invention — Lloyd Pidgeon developed it at the National Research Council in Ottawa in the 1940s, first operated at scale at Haley, Ontario.

Pidgeon (silicothermic) magnesium processDolomite MgCO₃·CaCO₃Calcine 1100–1200 °C → dolime MgO·CaO + 2 CO₂Grind, blend with ferrosilicon, briquetteRetort 1150–1200 °C, 10–100 Pa vacuumCondense Mg vapour → crown crystals → remelt / refine2 (MgO·CaO)+ Si → 2 Mg(g)+ Ca₂SiO₄Batch, labour-intensive, ~10–11 kg coal-equivalent per kg Mg, but very pure productCa₂SiO₄ residue leaves the retort as a spent-briquette cake
Figure 4.1 — The Pidgeon process as a batch sequence. Vacuum is what makes the reduction go: it moves magnesium out of the reaction zone as vapour and drives the equilibrium forward at a temperature the retort can survive.

Dolomite is first calcined at 1100–1200 °C in a rotary or shaft kiln to drive off both carbonates and leave a mixed oxide known as dolime:

$$\mathrm{MgCO_3 \cdot CaCO_3 \longrightarrow MgO \cdot CaO + 2\,CO_2}$$

The dolime is ground, blended with ferrosilicon containing about 75–80 % Si (with a little fluorspar as catalyst), and briquetted for density and gas permeability. Briquettes are loaded into horizontal nickel–chromium alloy retorts, roughly 300 mm diameter and 3 m long, evacuated to 10–100 Pa and externally heated to 1150–1200 °C. The reduction is:

$$\mathrm{2\,(MgO \cdot CaO) + Si \longrightarrow 2\,Mg(g) + Ca_2SiO_4}$$

Two features deserve emphasis. First, magnesium is produced as a vapour well above its 1090 °C boiling point at atmospheric pressure, so it travels continuously to a water-cooled condenser and deposits as solid "crown" crystals of 99.95–99.98 % purity. Second, the reaction is not thermodynamically favourable at atmospheric pressure at 1200 °C: it is driven forward only because vacuum keeps the magnesium partial pressure low, continuously removing product — Le Châtelier's principle used as a process design tool, and the single most important point an answer should make. Lime's role is chemical, not incidental: binding silica as dicalcium silicate lowers SiO2 activity and makes the reduction much easier than with pure magnesia.

A cycle takes 8–12 hours; the retort is cooled, the crown removed, and the spent Ca2SiO4 briquette cake discharged. Crowns are remelted under a protective flux and cast into ingot. The route's virtues are simplicity, low capital cost, tolerance of small scale and exceptional purity; its faults are heavy manual handling, retort life limited by creep, and an energy intensity of roughly 10–11 kg coal-equivalent per kilogram of magnesium.

(b) The Hall–Héroult process. Alumina melts at 2054 °C and, being an ionic solid, cannot be reduced by carbon to metal in any practical furnace. Charles Hall and Paul Héroult independently solved this in 1886 with the same insight: dissolve the alumina in molten cryolite, Na3AlF6, and electrolyse the solution at a temperature the plant can sustain.

Hall–Héroult reduction cellcarbon liningcryolite bath, Na₃AlF₆ + 2–6 % Al₂O₃, 950–970 °Cmolten aluminum pad (cathode surface)C anodeC anodeC anodeanode bus (+)(−)CO₂tapped Al2 Al₂O₃ + 3 C → 4 Al + 3 CO₂ — the carbon anode is consumed, ~0.4–0.5 kg C per kg AlCell voltage ~4.2 V at 150–400 kA; 13–15 kWh per kg Al
Figure 4.2 — A Hall–Héroult cell. The molten aluminium pad is itself the cathode surface; the carbon anodes are consumed by the oxygen liberated at them, so the overall reaction produces CO2 and not O2.

The electrolyte. The bath is cryolite carrying 2–6 % dissolved alumina, with aluminium fluoride and calcium fluoride added to depress the liquidus, operating at 950–970 °C. Cryolite dissolves alumina readily, conducts well, is less dense than aluminium so the metal settles beneath it, and is not itself decomposed at the cell voltage.

The cell. A steel casing lined with carbon forms the cathode connection; the working cathode surface is the pad of molten aluminium on the cell floor. Prebaked carbon anodes, made from petroleum coke and pitch, are suspended into the bath from above. A frozen crust of bath and alumina insulates the cell at the sides, and fresh alumina is fed through it by point feeders.

The electrochemistry. Aluminium deposits at the metal pad, $\mathrm{Al^{3+}+3\,e^-\rightarrow Al}$, and oxygen discharged at the anode immediately attacks the carbon. The overall cell reaction is:

$$\mathrm{2\,Al_2O_3 + 3\,C \longrightarrow 4\,Al + 3\,CO_2}$$

The carbon anode is a reactant: about 0.4–0.5 kg of carbon is consumed per kilogram of aluminium, and anode replacement on a fixed cycle is a major part of potroom labour; consuming the carbon also substantially lowers the required cell voltage compared with liberating free oxygen.

Operation. Modern cells run at 150–400 kA and about 4.2 V, of which only 1.2 V is the thermodynamic decomposition potential — the remainder covers anode overvoltage and ohmic drop, and that resistive loss keeps the bath molten. Current efficiency is 92–96 %. Energy consumption is 13–15 kWh per kilogram, which is why smelters site at cheap hydroelectric power — the Canadian industry concentrates in Québec and at Kitimat, British Columbia. Metal is siphoned from the pad every one to two days at 99.7–99.9 % purity, and cells are connected in series in potlines of 100–300 units.

Summary — Question 4
PartAnswer in brief
(a) Pidgeon2 (MgO·CaO) + Si → 2 Mg(g) + Ca2SiO4, 1150–1200 °C, 10–100 Pa vacuum; vacuum drives the equilibrium (Le Châtelier), not just excludes air
(b) Hall–Héroult2 Al2O3 + 3 C → 4 Al + 3 CO2 in cryolite at 950–970 °C; ~4.2 V, 150–400 kA, 13–15 kWh/kg