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Ozone Conversions and Equations

A web resource dedicated to explaining the science behind the main ozone conversions formulas and equations.

PHYSICAL PROPERTIES STANDARD CONDITIONS (P= 1013.25 MB, T = 273.3K)

Density of ozone: 2.14 kg/m3
Density of oxygen: 1.43 kg/m3
Density of air: 1.29 kg/m3
Density of water: 1 kg/m3
Molecular weight of ozone: 48 kg·mol−1
Molecular weight of oxygen: 32 kg·mol−1

USEFUL CONVERSION FACTORS: (FOR WATER):

1,000 liters = 1 m³ = 264 US gallons
1 gal = 3.785 liters = 3,785 ml
1 m³= 35.3 ft3 = 264 US Gallons

OZONE CONCENTRATION IN WATER:

1 mg/l = 1 PPM O3 = 1 g O3/m3 water {By weight}

OZONE CONCENTRATION IN AIR BY VOLUME:

1 g O3 / m3 = 467 PPM O3
1 PPM O3 = 2.14 mg O3/m3
100 pphm (parts per hundred million) = 1 ppm (parts per million)

OZONE CONCENTRATION IN AIR BY WEIGHT:

100 g O3/m3 = 7.8% O3 (Approximate)
1% O3 = 12.8 g O3/m3 (Approximate)
1% O3 = 7,284 PPM Ozone

OZONE CONCENTRATION IN OXYGEN BY WEIGHT:

100 g O3/m3 = 6.99% O3 (Approximate)
1% O3 = 14.3 g O3/m3 (Approximate)
1% O3 = 6,520 PPM Ozone

DETERMINING OZONE DOSAGE IN WATER:

The formula is actually very simple.

It is water flowrate x ozone dosage = required ozone production

UNITS CONSISTENCY IS VERY IMPORTANT!!!!

Below is the formula for determining ozone generation requirements if you know common water and ozone parameters (namely flowrate in GPM and ozone dosage in mg/l).

flowrate (GPM) x 3.78 l/gal x 60 min/hr x ozone dosage (mg/l) = ozone production (mg/hr)
Let’s work through an example. How much ozone production is needed to dose 2 PPM into 40 GPM of water? (we will be using PPM throughout the rest of this example knowing that 1 mg/l = 1 PPM)

40 GPM x 3.78 l/gal x 60 min/hr x 2 PPM = 18.144 mg/hr (18.1 gr/hr)

Remember that 18 gr/hr will permit you to dose the water with 2 PPM of ozone. This does not mean that 2 PPM will be your final dissolved ozone concentration. Due to efficiency losses with injecting ozone and ozone demand of the water, your dissolved ozone concentration will be less.

DETERMINE THE OUTPUT OF AN OZONE GENERATOR:

the formula is flowrate (lpm) x ozone concentration (g/m3) = ozone production (mg/hr)

Let’s work through an example: The ozone concentration exiting an ozone generator is 120 g/m3 at 5 lpm of oxygen flow. What is the output?

5 l/min x 120 g/m3 x (1 m3/1,000 l) = 0.6 g/min

g/min are not normal units in the ozone industry so we simply convert minutes to hours to get g/hr: 0.6 g/min x 60 min/hr = 36 g/hr

SAMPLE CONVERSIONS:

Convert 140 g/m3 to wt% (oxygen feedgas).

based on the conversion above, 100 g/m3 = 6.99 wt. %

therefore 140 g/m3 / 100 g/m3 x 6.99 wt. % = 9.8 wt.%

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