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Science of Water : Concepts and Applications

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

p wh<br />

3<br />

62.4 lb/ft 18ft<br />

2<br />

1123<br />

lb/ft or 1123 psf<br />

<strong>Water</strong>works operators generally measure pressure in pounds per square inch rather than pounds per<br />

square foot; to convert, divide by 144 in. 2 /ft 2 (12 in. × 12 in. = 144 in. 2 ):<br />

1123psf<br />

2<br />

P 78<br />

. lb/in. or psi (rounded)<br />

2<br />

144in. /ft<br />

PROPERTIES OF WATER<br />

Table 3.1 shows the relationship between temperature, specifi c weight, <strong>and</strong> density <strong>of</strong> water.<br />

DENSITY AND SPECIFIC GRAVITY<br />

When it is said that iron is heavier than aluminum, it means that iron has greater density than aluminum.<br />

In practice, what is really being said is that a given volume <strong>of</strong> iron is heavier than the same<br />

volume <strong>of</strong> aluminum.<br />

√ Important Point: What is density? Density is the mass per unit volume <strong>of</strong> a substance.<br />

Suppose you had a tub <strong>of</strong> lard <strong>and</strong> a large box <strong>of</strong> cold cereal, each having a mass <strong>of</strong> 600 g. The<br />

density <strong>of</strong> the cereal would be much less than the density <strong>of</strong> the lard because the cereal occupies a<br />

much larger volume than the lard occupies.<br />

The density <strong>of</strong> an object can be calculated by using the formula:<br />

mass<br />

Density <br />

volume<br />

In water treatment operations, perhaps the most common measures <strong>of</strong> density are pounds per<br />

cubic foot (lb/ft 3 ) <strong>and</strong> pounds per gallon (lb/gal).<br />

TABLE 3.1<br />

<strong>Water</strong> Properties (temperature, specifi c weight, <strong>and</strong> density)<br />

Temperature<br />

(°F)<br />

Specifi c Weight<br />

(lb/ft 3 )<br />

Density<br />

(slugs/ft 3 )<br />

Temperature<br />

(°F)<br />

Specifi c Weight<br />

(lb/ft 3 )<br />

Density<br />

(slugs/ft 3 )<br />

32 62.4 1.94 130 61.5 1.91<br />

40 62.4 1.94 140 61.4 1.91<br />

50 62.4 1.94 150 61.2 1.90<br />

60 62.4 1.94 160 61.0 1.90<br />

70 62.3 1.94 170 60.8 1.89<br />

80 62.2 1.93 180 60.6 1.88<br />

90 62.1 1.93 190 60.4 1.88<br />

100 62.0 1.93 200 60.1 1.87<br />

110 61.9 1.92 210 59.8 1.86<br />

120 61.7 1.92<br />

(3.2)

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