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Science of Water : Concepts and Applications

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<strong>Water</strong> Treatment Calculations 395<br />

Calculate the gpd hypochlorite solution required:<br />

180 lbday <br />

8.34 lbgal 21.6 gpd hypochlorite<br />

CALCULATING PERCENT STRENGTH OF SOLUTIONS<br />

If a teaspoon <strong>of</strong> salt is dropped into a glass <strong>of</strong> water it gradually disappears. The salt dissolves in<br />

the water. A microscopic examination <strong>of</strong> the water would not show the salt. Only examination at the<br />

molecular level, which is not easily done, would show salt <strong>and</strong> water molecules intimately mixed.<br />

If we taste the liquid, <strong>of</strong> course, we would know that the salt is there, <strong>and</strong> we could recover the salt<br />

by evaporating the water. In a solution, the molecules <strong>of</strong> the salt, the solute, are homogeneously<br />

dispersed among the molecules <strong>of</strong> water, the solvent. This mixture <strong>of</strong> salt <strong>and</strong> water is homogenous<br />

on a molecular level. Such a homogenous mixture is called a solution. The composition <strong>of</strong> a solution<br />

can be varied within certain limits.<br />

There are three common states <strong>of</strong> matter—gas, liquid, <strong>and</strong> solid. In this discussion, <strong>of</strong> course, we are<br />

only concerned, at the moment, with solid (calcium hypochlorite) <strong>and</strong> liquid (sodium hypochlorite).<br />

CALCULATING PERCENT STRENGTH USING DRY HYPOCHLORITE<br />

In calculating the percent strength <strong>of</strong> a chlorine solution, we use Equation 10.93.<br />

(hypochlorite, lb)(% available chlorine100) % Cl strength <br />

100 (10.93)<br />

<strong>Water</strong>, lb (hypochlorite, lb)(% available chlorine100) Example 10.119<br />

Problem:<br />

If a total <strong>of</strong> 72 oz <strong>of</strong> calcium hypochlorite (65% available chlorine) are added to 15 gal <strong>of</strong> water, what is<br />

the percent chlorine strength (by weight) <strong>of</strong> the solution?<br />

Solution:<br />

Convert the ounces <strong>of</strong> hypochlorite into pounds <strong>of</strong> hypochlorite:<br />

72 oz<br />

4.5 lb chemical<br />

16 oz/lb<br />

(hypochlorite, lb)(% available chlorine100) % Cl strength <br />

100<br />

water, lb (hypochlorite, lb)(% available chlorine100) (4.5 lb)(0.65)<br />

<br />

100<br />

(15 gal)(8.34 lbgal) (4<br />

lb)(0.65)<br />

2.9 lb<br />

<br />

100<br />

125.1 lb 2.9 lb<br />

(2.9)(100)<br />

<br />

126<br />

2.3 chlorine strength

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