Solubility of Air in Water

The amount of air that can be dissolved in water increases with pressure and decreases with temperature.

Deaeration

When fresh water is heated up air bubbles start to form. The water can obviously not hold the dissolved air with increased temperature. At 100 ^oC (212 ^oF) water starts to boil - the bubbles are formed by evaporated water or steam. If the water is cooled down and then again reheated, bubbles will not appear until the water starts to boil. The water is deaerated.

Solubility Ratio

Solubility of air in water can be expressed as a solubility ratio:

S_a = m_a / m_w               (1)

where

S_a = solubility ratio

m_a = mass of air (lb_m, kg)

m_w = mass of water (lb_m, kg)

Henry's Law

Solubility of air in water follows Henry's Law - "the amount of air dissolved in a fluid is proportional to the pressure in the system" - and can be expressed as:

c =  p_g / k_H                                 (2)

where

c= solubility of dissolved gas

k_H= proportionality constant depending on the nature of the gas and the solvent

p_g= partial pressure of gas (Pa, psi)

The solubility of oxygen in water is higher than the solubility of nitrogen. Air dissolved in water contains approximately 35.6% oxygen compared to 21% in air.

Solubility of Air in Water

Solubility of air in water - expressed as ratio of absorbed air volume to water volume:

Solubility of Air in Water

Temperature (oF)	Solubility (vair/vwater)
	Gauge Pressure (psig)
	0	20	40	60	80	100
40	0.0258	0.0613	0.0967	0.1321	0.1676	0.2030
50	0.0223	0.0529	0.0836	0.1143	0.1449	0.1756
60	0.0197	0.0469	0.0742	0.1014	0.1296	0.1559
70	0.0177	0.0423	0.0669	0.0916	0.1162	0.1408
80	0.0161	0.0387	0.0614	0.0840	0.1067	0.1293
90	0.0147	0.0358	0.0569	0.0780	0.0990	0.1201
100	0.0136	0.0334	0.0532	0.0730	0.0928	0.1126
110	0.0126	0.0314	0.0501	0.0689	0.0877	0.1065
120	0.0117	0.0296	0.0475	0.0654	0.0833	0.1012
130	0.0107	0.0280	0.0452	0.0624	0.0796	0.0968
140	0.0098	0.0265	0.0432	0.0598	0.0765	0.0931
150	0.0089	0.0251	0.0413	0.0574	0.0736	0.0898
160	0.0079	0.0237	0.0395	0.0553	0.0711	0.0869
170	0.0068	0.0223	0.0378	0.0534	0.0689	0.0844
180	0.0055	0.0208	0.0361	0.0514	0.0667	0.0820
190	0.0041	0.0192	0.0344	0.0496	0.0647	0.0799
200	0.0024	0.0175	0.0326	0.0477	0.0628	0.0779
210	0.0004	0.0155	0.0306	0.0457	0.0607	0.0758

Example - Air Dissolved in Water

The amount of air dissolved in water - mass of air to volume/mass of water - can be calculated with Henry's law.

Henry Law's Constants at a system temperature of 25 ^oC (77 ^oF)

• Oxygen - O₂ : 756.7 atm/(mol/litre)
• Nitrogen - N₂ : 1600 atm/(mol/litre)

Molar Weights

• Oxygen - O₂ : 31.9988 g/mol
• Nitrogen - N₂ : 28.0134 g/mol

Partial fraction in Air

• Oxygen - O₂ : ~ 0.21
• Nitrogen - N₂ : ~ 0.79

Oxygen dissolved in the Water at atmospheric pressure can be calculated as:

c_o = (1 atm) 0.21 / (756.7 atm/(mol/litre)) (31.9988 g/mol)

=0.0089 g/litre

~ 0.0089 g/kg

Nitrogen dissolved in the Water at atmospheric pressure can be calculated as:

c_n = (1 atm) 0.79 / (1600 atm/(mol/litre)) (28.0134 g/mol)

=0.0138 g/litre

~ 0.0138 g/kg

Since air mainly consists of Nitrogen and Oxygen - the air dissolved in the water can be calculated as:

c_a =(0.0089 g/litre) + (0.0138 g/litre)

= 0.0227 g/litre

~ 0.023 g/kg

Calculating the air dissolved in water for some other pressures at temperature 25 ^oC (77 ^oF) can be summarized to:

Deaeration

For maximum deaeration the water should be heated up to 212 ^oF (100 ^oC) at atmospheric pressure. This is common in steam systems where fresh water is supplied to the system through a heated deaeration tower on the top of the condensate receiver tank.

It is also common to install deaeration devices on the hot sides of heat exchangers in heating distribution systems to force the dissolved air out of the system.

Note! Since the maximum deaeration is limited by the minimum static pressure and maximum temperature in the system - the best deaeration result is achieved in positions at the hottest and highest levels of the systems - and/or at the suction side of pumps.