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Science of Water : Concepts and Applications

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388 The <strong>Science</strong> <strong>of</strong> <strong>Water</strong>: <strong>Concepts</strong> <strong>and</strong> <strong>Applications</strong><br />

CALCULATING CHLORINE DOSE, DEMAND, AND RESIDUAL<br />

Common terms used in chlorination include the following:<br />

•<br />

•<br />

•<br />

Chlorine dose—The amount <strong>of</strong> chlorine added to the system. It can be determined by<br />

adding the desired residual for the fi nished water to the chlorine dem<strong>and</strong> <strong>of</strong> the untreated<br />

water. Dosage can be either milligrams per liter (mg/L) or pounds per day (lb/day). The<br />

most common is mg/L.<br />

Chlorine dose, mg/L = chlorine dem<strong>and</strong>, mg/L + chlorine, mg/L<br />

Chlorine dem<strong>and</strong>—The amount <strong>of</strong> chlorine used by iron, manganese, turbidity, algae, <strong>and</strong><br />

microorganisms in the water. Because the reaction between chlorine <strong>and</strong> microorganisms<br />

is not instantaneous, dem<strong>and</strong> is relative to time. For instance, the dem<strong>and</strong> 5 min after<br />

applying chlorine will be less than the dem<strong>and</strong> after 20 min. Dem<strong>and</strong>, like dosage, is<br />

expressed in mg/L. The chlorine dem<strong>and</strong> is as follows:<br />

Chlorine dem<strong>and</strong> = chlorine dose – chlorine residual<br />

Chlorine residual—The amount <strong>of</strong> chlorine (determined by testing) remaining after the<br />

dem<strong>and</strong> is satisfi ed. Residual, like dem<strong>and</strong>, is based on time. The longer the time after<br />

dosage, the lower the residual will be, until all <strong>of</strong> the dem<strong>and</strong> has been satisfi ed. Residual,<br />

like dosage <strong>and</strong> dem<strong>and</strong>, is expressed in mg/L. The presence <strong>of</strong> a free residual <strong>of</strong> at least<br />

0.2–0.4 ppm usually provides a high degree <strong>of</strong> assurance that the disinfection <strong>of</strong> the water<br />

is complete. Combined residual is the result <strong>of</strong> combining free chlorine with nitrogen<br />

compounds. Combined residuals are also called chloramines. Total chlorine residual is<br />

the mathematical combination <strong>of</strong> free <strong>and</strong> combined residuals. Total residual can be determined<br />

directly with st<strong>and</strong>ard chlorine residual test kits.<br />

The following examples, using Equation 10.89, show the calculation <strong>of</strong> chlorine dose, dem<strong>and</strong>,<br />

<strong>and</strong> residual.<br />

Example 10.107<br />

Chlorine dose, mgLCl dem<strong>and</strong>, mg/L Cl residual, mg L (10.89)<br />

Problem:<br />

A water sample is tested <strong>and</strong> found to have a chlorine dem<strong>and</strong> <strong>of</strong> 1.7 mg/L. If the desired chlorine<br />

residual is 0.9 mg/L, what is the desired chlorine dose in mg/L?<br />

Solution:<br />

Chlorine dose, mg/L chlorine dem<strong>and</strong>, mgLchlorine residual,<br />

mgL 1.7 mgL0.9 mgL 2.6 mg L chlorine dose

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