Hydrometallurgy

Hydrometallurgy dissolves metals in aqueous leach — extraction % tracks solution concentration drop. Heap leach suits low-grade Indian copper oxides; CIP/CIL recovers gold; SX separates Cu/Ni/Co from pregnant leach solution.

Key formulas & points

Skim these first — then read the full notes below.

  • Heap leach for low-grade oxide ore
  • CIP/CIL gold cyanidation circuit
  • Solvent extraction SX metal transfer

Topic details

Introduction

Uranium Corporation of India and Hindustan Copper heap leach operations in Jharkhand — slow kinetics, low capex. Gold plants use cyanide with strict DGMS/CPCB effluent limits — know Au(CN)₂⁻ chemistry.

Scope in B.Tech and GATE syllabus

SX organic phase (LIX for copper) loads metal from aqueous PLS — strip electrowinning produces cathode. Nernst voltage includes overpotential and IR drop in exam cell design questions.

Key relations & formulas

Formulas (Indian textbook notation)

  • leachingratediffusionorsurfacereactioncontrolleaching rate ∝ diffusion or surface reaction control

Formulas (Indian textbook notation)

  • extractionextraction % = \frac{(C_{feed} - C_{raffinate})}{C_{feed}} \times 100

Formulas (Indian textbook notation)

  • NernstEforelectrowinningcellvoltageNernst E for electrowinning cell voltage

Notation and sign conventions

Relation 1 —
leachingratediffusionorsurfacereactioncontrolleaching rate ∝ diffusion or surface reaction control

Formulas (Indian textbook notation)

  • leachingratediffusionorsurfacereactioncontrolleaching rate ∝ diffusion or surface reaction control
Write this relation with symbols exactly as in Rosenqvist Extractive Metallurgy — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
extractionextraction % =

Formulas (Indian textbook notation)

  • extractionextraction % = \frac{(C_{feed} - C_{raffinate})}{C_{feed}} \times 100
Write this relation with symbols exactly as in Rosenqvist Extractive Metallurgy — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
NernstEforelectrowinningcellvoltageNernst E for electrowinning cell voltage

Formulas (Indian textbook notation)

  • NernstEforelectrowinningcellvoltageNernst E for electrowinning cell voltage
Write this relation with symbols exactly as in Rosenqvist Extractive Metallurgy — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Fundamentals and definitions

Leaching rate controlled by diffusion through product layer or surface reaction — shrinking core models predict t vs fraction leached. Temperature, particle size, and agitation accelerate rate.

Governing relations in practice

Extraction % = (C_feed − C_raffinate)/C_feed × 100% for single contact — multistage counter-current improves extraction with same reagent consumption.

Design and analysis considerations

Heap leach: irrigate stacked ore months to years — low grade (<0.5% Cu oxide) uneconomic to mill. Pond PLS collection — liner integrity environmental critical.

Advanced theory and extensions

CIP: carbon in pulp adsorbs Au after leach; CIL: leach and adsorption simultaneous. Electrowinning: m = (I t M)/(n F) Faraday for cathode metal — current efficiency < 100% due to side reactions.

Assumptions and validity limits

State assumptions explicitly before using any relation for hydrometallurgy — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Extractive Metallurgy viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Extractive Metallurgy papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to hydrometallurgy.
4. Use equation 1:
leachingratediffusionorsurfacereactioncontrolleaching rate ∝ diffusion or surface reaction control
.
5. Use equation 2:
extractionextraction % =
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Hydrometallurgy appears in smelters and refineries. In Indian mining curricula this topic is tested because it connects theory to pyro, hydro, and electrometallurgy.
GATE and semester exams often combine hydrometallurgy with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use hydrometallurgy?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

• Single-stage extraction formula on multistage without McCabe-Thiele
• Heap leach time ignored in production scheduling
• Cyanide chemistry without lime for pH > 10.5 safety
• Faraday mass without current efficiency divisor

Quick revision checklist

Before attempting hydrometallurgy problems, confirm you can:
1. Heap leach for low-grade oxide ore
2. CIP/CIL gold cyanidation circuit
3. Solvent extraction SX metal transfer
Revise the solved examples in Rosenqvist Extractive Metallurgy — Standard reference and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Leach extraction percentage

Problem

Feed Cu 2.5 g/L; raffinate 0.4 g/L after contact. Find extraction %.

Solution

Extraction = (2.5 − 0.4)/2.5 × 100 = 84%

Conceptual check — Hydrometallurgy

Problem

In a Extractive Metallurgy semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of hydrometallurgy." What should a complete answer include?

📖 Standard books (India)

  • Rosenqvist Extractive MetallurgyStandard reference

    Read: Syllabus unit

    Referenced in Indian B.Tech syllabus