Part of INC-06 — General Principles & Processes of Isolation of Elements

Key Formulas & Data (with LaTeX)

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Thermodynamics (Ellingham)

ΔG=ΔHTΔS\Delta G^\circ = \Delta H^\circ - T\Delta S^\circ

For 2C + O2O_{2} → 2CO: ΔS\Delta S > 0, so ΔG\Delta G° decreases (becomes more negative) with ↑T, enabling carbon reduction at high temperatures.

Gold Leaching (NaCN)

4Au+8NaCN+2H2O+O24Na[Au(CN)2]+4NaOH4\text{Au} + 8\text{NaCN} + 2\text{H}_2\text{O} + \text{O}_2 \rightarrow 4\text{Na[Au(CN)}_2] + 4\text{NaOH}

Gold recovery by zinc displacement:

2Na[Au(CN)2]+ZnNa2[Zn(CN)4]+2Au2\text{Na[Au(CN)}_2] + \text{Zn} \rightarrow \text{Na}_2[\text{Zn(CN)}_4] + 2\text{Au}

Calcination (zinc carbonate)

ZnCO3Δ,limited airZnO+CO2\text{ZnCO}_3 \xrightarrow{\Delta, \text{limited air}} \text{ZnO} + \text{CO}_2

Roasting (zinc blende)

2ZnS+3O2Δ,excess air2ZnO+2SO22\text{ZnS} + 3\text{O}_2 \xrightarrow{\Delta, \text{excess air}} 2\text{ZnO} + 2\text{SO}_2

Copper Self-Reduction (Bessemer)

2Cu2S+3O22Cu2O+2SO22\text{Cu}_2\text{S} + 3\text{O}_2 \rightarrow 2\text{Cu}_2\text{O} + 2\text{SO}_2

Cu2S+2Cu2O6Cu+SO2\text{Cu}_2\text{S} + 2\text{Cu}_2\text{O} \rightarrow 6\text{Cu} + \text{SO}_2

Iron Blast Furnace (reduction zone)

Fe2O3+3CO2Fe+3CO2\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2

CaO+SiO2CaSiO3 (slag)\text{CaO} + \text{SiO}_2 \rightarrow \text{CaSiO}_3 \text{ (slag)}

Hall-Heroult (anode reaction)

C+O2CO2+2e\text{C} + \text{O}^{2-} \rightarrow \text{CO}_2 + 2e^-

Mond Process (Ni)

Ni+4CO330350 KNi(CO)4450470 KNi+4CO\text{Ni} + 4\text{CO} \xrightarrow{330\text{–}350\text{ K}} \text{Ni(CO)}_4 \xrightarrow{450\text{–}470\text{ K}} \text{Ni} + 4\text{CO}

Van Arkel Method (Ti)

Ti+2I2870 KTiI41700 K, W filamentTi+2I2\text{Ti} + 2\text{I}_2 \xrightarrow{\sim870\text{ K}} \text{TiI}_4 \xrightarrow{\sim1700\text{ K, W filament}} \text{Ti} + 2\text{I}_2

Key Numerical Data

Ksp(melting point reduction):Al2O3=2072°Ccryolite950°CK_{sp}(\text{melting point reduction}) : \text{Al}_2\text{O}_3 = 2072\,°\text{C} \xrightarrow{\text{cryolite}} \sim950\,°\text{C}

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