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Ion Exchange Water Softener Resin Capacity Calculator engineering
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Ion Exchange Water Softener Resin Capacity Calculator

Determine required Strong Acid Cation (SAC) resin volume, hardness throughput volume ($m^3$ or gal), and NaCl brine regeneration stoichiometry.

Water Hardness & Daily Demand

mg/L (ppm) as CaCO3
1.4 eq/L ≈ 30.6 kgr/ft³
Standard economic 120-160 g/L (8-10 lb/ft³)

Resin Sizing & Brine Consumption

Required SAC Resin Volume:
Throughput Before Breakthrough:
Salt Consumption per Regen:
Bed Volumes to Exhaustion:
Feed Hardness in Grains:
10% Brine Solution Volume:

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Cation Exchange Softening & Regeneration Chemistry

Water softening utilizes cross-linked polystyrene divinylbenzene beads functionalized with sulfonic acid groups ($-\text{SO}_3^-\text{Na}^+$). As hard water flows through the bed, divalent calcium and magnesium ions displace monovalent sodium ions due to higher electrostatic charge affinity: $$2\,\overline{\text{R-SO}_3\text{Na}} + \text{Ca}^{2+} \rightleftharpoons \overline{(\text{R-SO}_3)_2\text{Ca}} + 2\,\text{Na}^+$$

Brine Regeneration Efficiency

Once the resin is exhausted with $\text{Ca}^{2+}$ and $\text{Mg}^{2+}$, a concentrated $10\%$ to $12\%$ sodium chloride brine solution is passed through the column. Mass action drives reverse equilibrium, stripping off hardness cations and restoring the resin to sodium form. Operating capacities typically range from $1.2$ to $1.6\text{ eq/L}$ depending on regenerant dosage.

Frequently Asked Questions