Ryznar Stability Index (RSI)

Also known as RSI

RSI=2 pHs−pH\mathrm{RSI} = 2\,\mathrm{pH_s} - \mathrm{pH}

Units aren’t used in this calculation: every value is a plain number.

sig figs

Worked example: pHs 7.31, pH 7.80 → RSI = 6.82. Press Try an example to run it live, then adjust anything.

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See also

Langelier Saturation Index (LSI): Both use saturation pH and measured pH.Puckorius (Practical) Scaling Index: Both use saturation pH.Saturation pH (pHs) for Langelier's Index: Both use saturation pH.Saturation pH (pHs), Rigorous: from the Carbonate Equilibria: Both use saturation pH.Cooling Tower LSI at Cycles of Concentration: Both use measured pH.Langelier Saturation Index from a Full Water Analysis: Both use measured pH.
5 more relatedHenderson–Hasselbalch Equation (Weak Acid Buffer): Both use measured pH.pH and pOH Relation: Both use measured pH.pH from Hydrogen Ion Concentration: Both use measured pH.pH of a Weak Acid from Ka: Both use measured pH.pH of a Weak Base from Kb: Both use measured pH.
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Ryznar Stability Index (RSI) explained

pHspHRSI

John Ryznar worked at Nalco in 1944 and noticed that Langelier's index told you the direction of a water's tendency but not how hard it would push. He rebuilt it as an empirical scale calibrated against real municipal distribution data: RSI = 2·pHs\mathrm{pH}_s − pH, always positive, running roughly from 4 to 10. Below about 6 the water lays down scale; 6 to 7 is the sweet spot most cooling and distribution systems aim for; above 7 the water is increasingly aggressive and above 8.5 it is downright corrosive. A tower at pH 7.8 with pHs\mathrm{pH}_s 7.31 gives RSI = 14.62 − 7.8 = 6.82: mildly aggressive, contradicting the +0.49 LSI that called the same water scaling.

That contradiction is the point, not a bug. LSI says the water can deposit calcium carbonate; RSI says there is not enough driving force to build a protective film fast enough to matter. Field practice is to run both and treat a water only when they agree, or to lean on RSI in distribution mains and on LSI in heated equipment where the skin temperature does the deciding. The one thing you should never do is compute RSI from a pHs\mathrm{pH}_s you looked up at 25 °C and a pH you measured on hot water: both numbers have to describe the same fluid at the same temperature.

Ryznar Stability Index (RSI) formula

RSI=2 pHs−pH\mathrm{RSI} = 2\,\mathrm{pH_s} - \mathrm{pH}
Where
  • RSI\mathrm{RSI}= Ryznar Stability Index
  • pHs\mathrm{pH_s}= Saturation pH
  • pH\mathrm{pH}= Measured pH
Where this comes from
  • Ryznar, J. W. (1944). A new index for determining amount of calcium carbonate scale formed by a water. Journal AWWA, 36. Read it
Revised 31 October 2026
Cite this page

formula.expert. (2026, October 31). Ryznar Stability Index (RSI) Formula & Calculator. https://formula.expert/solvers/ryznar-stability-index