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Osmotic pressure estimate

Estimate osmotic pressure from TDS and temperature for NaCl-dominated waters, the starting point for RO feed pressure and membrane selection.

Results

Estimated osmotic pressure1.4 bar
In psi20.3 psi
Rule of thumb≈ 0.7 bar per 1 000 mg/L TDS (NaCl basis, 25 °C)

Feed pressure must exceed osmotic pressure plus the membrane’s net driving pressure and system losses before any permeate flows. As recovery rises, the concentrate-side osmotic pressure climbs well above this feed-side figure. The estimate assumes NaCl-dominated water; waters high in divalent ions run somewhat lower. Use a full analysis and the membrane manufacturer’s projection software for design.

Formula used

π = 0.0007 × TDS × (T + 273.15) ÷ 298.15

π
osmotic pressure, bar
TDS
total dissolved solids, mg/L
T
water temperature, °C

Industry rule of thumb (≈0.7 bar per 1 000 mg/L NaCl at 25 °C) scaled by absolute temperature. Note where the 0.7 comes from: ideal van 't Hoff behaviour for dilute sodium chloride gives about 0.85 bar per 1 000 mg/L, and the working figure is lower because the osmotic coefficient falls below unity at real feed concentrations. It is calibrated for brackish feeds in roughly the 1 000 to 10 000 mg/L range and it drifts outside that: it understates dilute feeds and is not a seawater figure. Waters dominated by divalent ions (Ca, Mg, SO4) run 10–30% lower again. Treat the result as an order-of-magnitude check with an uncertainty of tens of per cent, not a design number: for design, use the membrane manufacturer's projection software with a full ionic analysis.

The background

Equipment for this duty

Send the water analysis and duty point, and the branch confirms exact selections, pricing and lead times, usually within one working day.

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Results are indicative engineering estimates based on standard formulas and typical assumptions. They are not a design service; confirm any design against a full water analysis and the relevant manufacturer’s data.