Free engineering calculators and unit convertersceo@instrumentationblog.in
Analytical · Free Calculator

Dissolved Oxygen Saturation Calculator

Find the oxygen solubility in water at the sample temperature, salinity and pressure, and convert a measured DO in mg/L to percent saturation.

DO saturationTemperatureSalinity% saturation
°C
g/kg (‰)
mbar
mg/L
DO at saturation9.09 mg/L
Measured saturation82.5 %
At 1013 mbar9.09 mg/L
How this result was calculated
  1. ln C* = −139.34411 + 1.575701 × 10⁵/T − 6.642308 × 10⁷/T² + 1.2438 × 10¹⁰/T³ − 8.621949 × 10¹¹/T⁴ − salinity term
  2. C* = 9.092 mg/L at 1 atm; × P ÷ 1013.25 = 9.09 mg/L
Advertisement

Oxygen Solubility (Benson and Krause)

ln C* = −139.34411 + 1.575701×10⁵/T − 6.642308×10⁷/T² + 1.243800×10¹⁰/T³ − 8.621949×10¹¹/T⁴ − S(1.7674×10⁻² − 10.754/T + 2140.7/T²)

T in kelvin, S salinity in g/kg; C* in mg/L at 1 atm, as used in Standard Methods for dissolved oxygen (4500 O). The pressure correction here is a simple proportion, which is accurate to within about 1 % near normal pressures.

Worked example

Fresh water at 20 °C and 1013 mbar holds 9.09 mg/L at saturation, so a reading of 7.5 mg/L is 82.5 % saturation.

Key insight: warm water holds much less oxygen: about 14.6 mg/L at 0 °C but only 7.6 mg/L at 30 °C. Aeration control in treatment plants must account for this seasonal change.
Advertisement

Frequently Asked Questions

What is dissolved oxygen saturation?

The maximum oxygen that water can hold in equilibrium with air at a given temperature, salinity and pressure.

Why does DO fall with temperature?

Gas solubility in water decreases as temperature rises.

How is percent saturation used?

It normalises DO for temperature and is the common basis for calibrating DO sensors in air.

You May Also Like

Learn more on the blog

Electrical conductivity explained

A practical, field focused guide on instrumentationblog.in that explains the theory behind this calculator and how engineers apply it on real plants.

Read Full Article

More Analytical Calculators

More Calculator Categories