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Science of Water : Concepts and Applications

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<strong>Water</strong> Treatment Calculations 397<br />

Example 10.121<br />

total chemical in inventory, gal<br />

Days’ supply in inventory <br />

average use, gpd<br />

Problem:<br />

The pounds (lb) calcium hypochlorite used for each day during a week is given below. Based on these<br />

data, what was the average lb/day hypochlorite chemical use during the week?<br />

Solution:<br />

Example 10.122<br />

Monday—50 lb/day Friday—56 lb/day<br />

Tuesday—55 lb/day Saturday—51 lb/day<br />

Wednesday—51 lb/day Sunday—48 lb/day<br />

Thursday—46 lb/day<br />

Average use, lb/day <br />

total chemical used, lb<br />

number <strong>of</strong> days<br />

357<br />

7<br />

51 lb/day average use<br />

Problem:<br />

The average calcium hypochlorite use at a plant is 40 lb/day. If the chemical inventory in stock is<br />

1100 lb, how many days’ supply is this?<br />

Solution:<br />

CHLORINATION CHEMISTRY<br />

total chemical in inventory, lb<br />

Days’ supply in inventory <br />

average<br />

use, lbday 1100 lb in inventory<br />

Days’ supply in inventory <br />

40 lbday average use<br />

27.5 days’ supply in inventory<br />

(10.98)<br />

As mentioned, chlorine is used in the form <strong>of</strong> free elemental chlorine or as hypochlorites. Temperature,<br />

pH, <strong>and</strong> organic content in the water infl uence its chemical form in water. When chlorine gas is<br />

dissolved in water, it rapidly hydrolyzes to hydrochloric acid (HCl) <strong>and</strong> hypochlorous acid (HOCl):<br />

According to G.C. White (1972), the equilibrium constant is:<br />

<br />

Cl2H2O↔ H ClHOCl (10.99)<br />

KH<br />

<br />

[H ][Cl ][HOCl]<br />

<br />

[Cl ]<br />

2(aq)<br />

4.48104at 25° C<br />

(10.100)

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