Part 2 · Chapter 20

General Principles of Metallurgy

From rock to refined metal — the universal sequence of concentration, reduction and refining, and the thermodynamics, captured in the Ellingham diagram, that decides which reducing agent will work

Fundamentals of Chemistry Prof. Mithun Mondal Reading time ≈ 52 min
i What you'll learn
  • The difference between a mineral and an ore, and the meaning of gangue, flux and slag.
  • How ores are concentrated — hydraulic washing, magnetic separation, froth flotation, leaching.
  • Calcination vs roasting, and the routes for reducing an oxide to its metal.
  • How the Ellingham diagram decides which reducing agent succeeds.
  • The major refining methods, including electrolytic and zone refining.
  • The extraction of iron (blast furnace) and aluminium (Hall–Héroult).
Section 20-1

Minerals, Ores & the Steps

Metals occur in nature combined as minerals — naturally occurring compounds. A mineral from which a metal can be extracted profitably and conveniently is an ore. Every ore comes mixed with earthy impurities called gangue (or matrix). The whole craft of metallurgy is the sequence that turns ore into pure metal.

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The three universal steps
1. Concentration of the ore → 2. Reduction to the metal → 3. Refining (purification)

Two helper terms recur throughout: a flux is added to combine with the gangue, and the fusible product they form is the slag, which floats off and is removed.

Section 20-2

Concentration of the Ore

The first task is to remove the gangue. The method chosen exploits a physical or chemical difference between the ore and its impurities — density, magnetism, surface wetting, or solubility.

MethodBased onUsed for
Hydraulic washingdensity differenceheavy oxide ores (haematite)
Magnetic separationmagnetic property\(\ce{Fe3O4}\), chromite, wolframite
Froth flotationsurface wettingsulphide ores (galena, zinc blende)
Leachingchemical solubilitybauxite, gold & silver ores
How froth flotation works. The powdered sulphide ore is agitated with water, pine oil and air. The oil preferentially wets the sulphide particles, which cling to the froth and float, while the water-wetted gangue sinks. Depressants like \(\ce{NaCN}\) can selectively hold back one sulphide to separate, say, \(\ce{ZnS}\) from \(\ce{PbS}\).
Section 20-3

Conversion to the Oxide

Most reductions work best on an oxide, so carbonate and sulphide ores are first turned into oxides. The two heating treatments — calcination and roasting — differ in whether air is present.

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Calcination vs roasting
Calcination (limited air): \(\ce{ZnCO3 ->[\Delta] ZnO + CO2}\) · Roasting (excess air): \(\ce{2ZnS + 3O2 ->[\Delta] 2ZnO + 2SO2}\)

Calcination drives off water and \(\ce{CO2}\) from hydrated or carbonate ores in limited air; roasting oxidises sulphide ores in a current of air. Both end at the metal oxide, ready for reduction.

Section 20-4

Reduction to the Metal

The oxide must now lose its oxygen. Which reducing route is used depends on the metal's reactivity — cheap carbon for moderately reactive metals, electrolysis for the most reactive.

RouteReaction / principleFor metals like
Carbon (smelting)\(\ce{ZnO + C ->[\Delta] Zn + CO}\)Zn, Fe, Sn, Pb
Thermite (aluminothermic)\(\ce{Cr2O3 + 2Al -> 2Cr + Al2O3}\)Cr, Mn (where C fails)
Self-reduction\(\ce{2Cu2O + Cu2S -> 6Cu + SO2}\)Cu, Pb, Hg sulphides
Hydrometallurgy\(\ce{2[Au(CN)2]- + Zn -> [Zn(CN)4]^2- + 2Au}\)Au, Ag
Electrolyticmelt electrolysisNa, Mg, Al, Ca (most reactive)
Why electrolysis for the reactive ones. The most electropositive metals (\(\ce{Na, Mg, Al}\)) bind oxygen so strongly that no chemical reductant can pull it off economically. Passing electricity through their molten salts forces the reduction at the cathode — costly, but the only way.
Section 20-5

The Ellingham Diagram

Whether a reduction will actually happen is a question of thermodynamics. The Ellingham diagram plots the standard free energy of oxide formation, \(\Delta G^\circ\), against temperature for many metals. The more negative a metal's line, the more stable its oxide — and a metal whose line lies below another's can reduce that other oxide.

0 ΔG° T → Zn→ZnO Al→Al₂O₃ C→CO C reduces ZnO above here
Ellingham diagram — metal lines slope up; the C→CO line slopes down and undercuts them at high T
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The carbon advantage
\(\Delta G^\circ = \Delta H^\circ - T\Delta S^\circ\) — the \(\ce{C -> CO}\) line slopes down

Most metal-oxide lines slope upward (gas is consumed, \(\Delta S^\circ<0\)). But forming \(\ce{CO}\) from carbon produces gas (\(\Delta S^\circ>0\)), so its line slopes downward and eventually drops below the metal lines — which is exactly why carbon becomes an excellent, cheap reductant at high temperature.

Section 20-6

Refining the Metal

The crude metal still carries impurities. The refining method is matched to the metal's properties — its boiling point, melting point, or the ease of forming a volatile compound.

MethodPrincipleUsed for
Distillationlow boiling pointZn, Hg
Liquationlow melting pointSn
Electrolytic refiningimpure anode → pure cathodeCu, Ag, Au, Al, Zn
Zone refiningfractional crystallisationSi, Ge (semiconductors)
Vapour phasevolatile compound formed & decomposedNi (Mond), Ti/Zr (van Arkel)
The anode mud bonus. In electrolytic refining the impure metal is the anode and pure metal deposits on the cathode. Noble impurities like silver, gold and platinum do not dissolve — they collect below the anode as valuable anode mud, often paying for the whole operation.
Section 20-7

Extraction of Iron

Iron is won from haematite (\(\ce{Fe2O3}\)) in a towering blast furnace, charged with ore, coke and limestone. Hot air blasted in burns the coke; the carbon monoxide it makes is the true reducing agent.

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Blast-furnace chemistry
\(\ce{C + O2 -> CO2}\); \(\ \ce{CO2 + C -> 2CO}\); \(\ \ce{Fe2O3 + 3CO -> 2Fe + 3CO2}\)

Limestone removes the silica gangue: \(\ce{CaCO3 -> CaO + CO2}\), then \(\ce{CaO + SiO2 -> CaSiO3}\) (slag). Molten iron and lighter slag are tapped off separately.

Section 20-8

Extraction of Aluminium

Aluminium's oxide is too stable for carbon to reduce, so it is extracted by electrolysis. First the bauxite ore is purified to pure alumina (\(\ce{Al2O3}\)) by the Bayer process; then alumina is reduced in the Hall–Héroult cell.

Hall–Héroult process
Cathode: \(\ce{Al^3+ + 3e- -> Al}\) · Anode: \(\ce{C + O^2- -> CO/CO2 + e-}\)

Pure \(\ce{Al2O3}\) is dissolved in molten cryolite (\(\ce{Na3AlF6}\)) with fluorspar, which lowers the melting point from over \(2000\,^\circ\text{C}\) to about \(950\,^\circ\text{C}\) and makes the melt conduct. Graphite electrodes carry the current; the carbon anodes are slowly burnt away and replaced.

Worked Examples

Putting It to Work

1 Pick the concentration method

Problem. Which method best concentrates the sulphide ore zinc blende, and why?

Solution. Sulphides are wetted by oil, not water — flotation suits them:

Working
\[ \textbf{froth flotation}\ (\ce{ZnS}\text{ floats with the oil}) \]
2 Calcination or roasting?

Problem. Classify each: \(\ce{ZnCO3 -> ZnO + CO2}\) and \(\ce{2ZnS + 3O2 -> 2ZnO + 2SO2}\).

Solution. Carbonate in limited air = calcination; sulphide in excess air = roasting:

Working
\[ \text{first → calcination};\quad \text{second → roasting} \]
3 The thermite reaction

Problem. Write the aluminothermic reduction of \(\ce{Cr2O3}\) and state why aluminium is used.

Solution. Al's oxide line lies below \(\ce{Cr2O3}\), so Al reduces it:

Working
\[ \ce{Cr2O3 + 2Al -> 2Cr + Al2O3}\quad(\Delta G^\circ < 0) \]
4 Reading the Ellingham diagram

Problem. Can carbon reduce \(\ce{ZnO}\) at high temperature? Justify thermodynamically.

Solution. Above the crossover the \(\ce{C->CO}\) line is below the \(\ce{Zn->ZnO}\) line:

Working
\[ \Delta G^\circ_{\text{net}} < 0 \Rightarrow \text{yes: } \ce{ZnO + C -> Zn + CO} \]
5 Reductant in the blast furnace

Problem. What actually reduces \(\ce{Fe2O3}\) in the blast furnace, and write the reaction.

Solution. Carbon monoxide, made from coke, is the reducing agent:

Working
\[ \ce{Fe2O3 + 3CO -> 2Fe + 3CO2} \]
6 Choose a refining method

Problem. Which refining method gives ultrapure germanium for semiconductors, and on what principle?

Solution. Impurities concentrate in the melt and are swept to one end:

Working
\[ \textbf{zone refining}\ (\text{fractional crystallisation}) \]
Review

Chapter Summary

Terms

Mineral vs ore; gangue, flux, slag; the three steps — concentrate, reduce, refine.

Concentration

Hydraulic washing, magnetic separation, froth flotation (sulphides), leaching.

To the oxide

Calcination (limited air, carbonates) vs roasting (excess air, sulphides).

Reduction

Carbon, thermite, self-reduction, hydrometallurgy, electrolysis (reactive metals).

Ellingham

Lower line reduces higher; the \(\ce{C->CO}\) line slopes down, undercutting metals at high T.

Iron & aluminium

\(\ce{Fe}\) by \(\ce{CO}\) in the blast furnace; \(\ce{Al}\) by Hall–Héroult electrolysis in cryolite.

Practice

Problems

For each item, first decide which step it tests — concentration, reduction, the Ellingham diagram, or refining — then apply the relevant rule. Difficulty rises down the list.

  1. Distinguish a mineral from an ore, and define gangue, flux and slag.
  2. Describe froth flotation and explain the role of pine oil and a depressant.
  3. Differentiate calcination and roasting with one example reaction each.
  4. Which reduction route suits sodium, and why can carbon not be used?
  5. Write the thermite reaction for manganese from \(\ce{Mn3O4}\).
  6. State the principle of the Ellingham diagram and explain why the \(\ce{C->CO}\) line slopes downward.
  7. Using the diagram, explain why carbon reduces \(\ce{ZnO}\) only above a certain temperature.
  8. List two refining methods and the property each exploits.
  9. Explain electrolytic refining and what the anode mud contains.
  10. Write the three reduction reactions occurring in the blast furnace.
  11. Why is alumina dissolved in cryolite in the Hall–Héroult process?
  12. Write the cathode and anode reactions in the electrolysis of alumina.
Tip: read every extraction as the same three-act story — get the gangue out (concentration), get the oxygen out (reduction), get the last impurities out (refining). The only real decision at each act is which physical or thermodynamic difference to exploit, and the Ellingham diagram answers the hardest of those: which reductant to trust.