where f is the fraction of saturation achieved (0.5 to 0.8). Because of the small residence time allowed in the saturation tank, saturation is not achieved there but only a fraction represented by f • CaswXsp is the saturation concentration of the dissolved air in the wastewater in the saturation tank at standard pressure Ps corresponding to the temperature of the wastewater; P is the pressure in the tank; and CasXsp is the saturation concentration of dissolved air in tap water at standard pressure corresponding to the temperature equal to the temperature of the wastewater. CmXsp can be obtained from the corresponding value for oxygen (CosXsp) by multiplying CosXsp by (28.84)/[0.21(32)] = 4.29, where 28.84 is the molecular mass of air, 0.21 is the mol fraction of oxygen in air, and 32 is the molecular weight of oxygen. Thus,
The total amount of air introduced into the flotation tank comes from the air saturation tank and from the influent feed. Because the pressure in the influent feed is the same atmospheric pressure in the flotation tank and, because the temperature in the flotation tank may be assumed equal to the temperature of the influent feed, any air that happens to be with the influent does not aid in floating the solids. This source of air may therefore be neglected. Letting R be the recirculation ratio and Qt be the influent flow, the amount of air introduced into the flotation tank Ai is
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