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Water Chemistry — Hardness & Water Softening

Sources and impurities of water; hardness — temporary (carbonate) and permanent (non-carbonate), causes, units (mg/L or ppm as CaCO₃, degrees Clarke and French) and calculation of hardness as CaCO₃ equivalents; alkalinity; estimation of hardness by EDTA titration; disadvantages of hard water — domestic and industrial (scale and sludge, priming and foaming, caustic embrittlement, boiler corrosion); water softening — lime–soda process (calculation of lime and soda requirements), zeolite (permutit) process, ion exchange demineralisation, mixed-bed deionisers, reverse osmosis and electrodialysis; internal conditioning of boiler water; drinking water standards (IS 10500) and quality of water for concrete (IS 456) — with fully worked numericals.

📑 Contents (11 sections)

Last reviewed 16 Sept 2026 · 10 min read

Sources and impurities

  • Sources: rain water (purest natural), surface water (rivers, lakes — suspended matter, organics, microbes), groundwater (springs, wells — dissolved salts, hardness), sea water (high salinity).
  • Impurities:
    • Suspended — silt, clay, organic particles (turbidity).
    • Colloidal — fine clay, colour-causing organics.
    • Dissolved — salts of Ca, Mg, Na (bicarbonates, chlorides, sulphates, nitrates), iron, fluoride, arsenic; dissolved gases (O₂, CO₂, H₂S).
    • Biological — bacteria, viruses, algae.

Hardness of water

Hardness — the soap-consuming capacity of water, mainly due to dissolved calcium and magnesium salts (also Fe, Mn, Al to a small extent). Hard water does not readily form lather with soap; insoluble scum forms:

Type Cause Removal
Temporary (carbonate) hardness Bicarbonates of Ca and Mg (Ca(HCO₃)₂, Mg(HCO₃)₂) Boiling: Ca(HCO₃)₂ → CaCO₃↓ + H₂O + CO₂; Mg(HCO₃)₂ → Mg(OH)₂↓ + 2CO₂; also by lime
Permanent (non-carbonate) hardness Chlorides and sulphates (and nitrates) of Ca and Mg Not removed by boiling — lime–soda, zeolite, ion exchange processes

Total hardness = temporary + permanent.

Units of hardness

Unit Definition
mg/L or ppm as CaCO₃ Parts of CaCO₃ equivalent hardness per million parts of water (most common)
Degree Clarke (°Cl) Parts per 70 000 (grains per imperial gallon)
Degree French (°Fr) Parts per 10⁵

Conversions: 1 ppm = 0.07 °Cl = 0.1 °Fr (1 °Fr = 10 ppm; 1 °Cl ≈ 14.3 ppm).

Hardness as CaCO₃ equivalent

(or mass × 100 / molar mass for divalent salts). CaCO₃ is chosen because its molar mass is 100 (equivalent weight 50) and it is insoluble.

Salt Molar mass Multiplication factor (to CaCO₃)
Ca(HCO₃)₂ 162 100/162
Mg(HCO₃)₂ 146 100/146
CaSO₄ 136 100/136
CaCl₂ 111 100/111
MgSO₄ 120 100/120
MgCl₂ 95 100/95
Mg(NO₃)₂ 148 100/148

(NaCl, KCl and other sodium/potassium salts do not cause hardness.)

Alkalinity

  • Alkalinity — capacity to neutralise acids, due to OH⁻, CO₃²⁻ and HCO₃⁻ ions.
  • Determined by titration with standard acid using phenolphthalein (P) and methyl orange (M) indicators; the relative values of P and M give OH⁻, CO₃²⁻ and HCO₃⁻ contents.
  • OH⁻ and HCO₃⁻ cannot coexist in significant amounts (they react to form CO₃²⁻).
  • High alkalinity causes caustic embrittlement in boilers; alkalinity also affects coagulation in treatment.

Estimation of hardness — EDTA method

  • EDTA (ethylenediamine tetra-acetic acid, disodium salt) forms stable complexes with Ca²⁺ and Mg²⁺.
  • Water sample buffered at pH ≈ 10 (NH₄Cl–NH₄OH buffer) with Eriochrome Black T (EBT) indicator.
  • EBT forms a wine-red complex with Ca/Mg; at the end point all metal ions are complexed by EDTA and the solution turns blue.
  • Total hardness (mg/L as CaCO₃) .
  • Permanent hardness is found after boiling and filtering; temporary = total − permanent.

Disadvantages of hard water

Domestic

  • Wastage of soap; poor washing; stains.
  • Cooking: pulses do not cook well; tea/coffee taste affected.
  • Scaling in kettles, geysers and pipes → reduced flow and heat transfer.

Industrial (especially boilers)

Problem Cause and effect
Sludge Soft, loose precipitates (MgCO₃, MgCl₂, CaCl₂) in cooler parts — poor heat transfer, choking of pipes; removed by blow-down
Scale Hard, adherent deposits (CaSO₄, CaCO₃ in high-pressure boilers, Mg(OH)₂, CaSiO₃) on heating surfaces — poor thermal conductivity → fuel wastage, overheating and tube failure (bulging, explosion hazard)
Priming Carryover of water droplets with steam — due to high steam velocity, sudden boiling, high water level; wet steam damages turbines
Foaming Persistent bubbles due to oils, dissolved salts — causes priming
Caustic embrittlement Intergranular cracking of boiler steel at stressed points due to concentrated NaOH (from Na₂CO₃ hydrolysis at high pressure); prevented by sodium sulphate, tannin, lignin additions or phosphate treatment
Boiler corrosion Dissolved oxygen, CO₂ (carbonic acid), and acids from MgCl₂ hydrolysis — removed by deaeration, sodium sulphite/hydrazine, alkalinity control

Other industries: textiles and dyeing (uneven dyeing), sugar (crystallisation issues), paper, concrete (see water for concrete below), cooling towers (scaling).

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