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preface to fifteenth edition

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GENERAL INFORMATION, CONVERSION TABLES, AND MATHEMATICS 2.69<br />

may be used <strong>to</strong> find d<br />

t,<br />

the density (weight of 1 mL) of a liquid at any temperature (t) between 0<br />

and 40C if the specific gravity at 25/25C (S) and the coefficient of cubicalexpansion () are<br />

known. Substitutions are made in the equations:<br />

d<br />

t<br />

SF t<br />

(2.2)<br />

d t<br />

S (2.3)<br />

F t<br />

Fac<strong>to</strong>rs (F t )<br />

Density tC sp. gr. 25/25 F t<br />

C.<br />

*b 10 3 0 5 10 15 20 25 30 35 40<br />

1.3 1.0306 1.0237 1.0169 1.0102 1.0036 0.99705 0.99065 0.9843 0.9780<br />

1.2 1.0279 1.0216 1.0154 1.0092 1.0031 0.99705 0.9911 0.9853 0.9794<br />

1.1 1.0253 1.0195 1.0138 1.0082 1.0026 0.99705 0.9916 0.9963 0.9809<br />

1.0 1.0227 1.0174 1.0123 1.0072 1.0021 0.99705 0.9921 0.9872 0.98234<br />

0.9 1.0200 1.0153 1.0107 1.0060 1.0016 0.99705 0.99262 0.9882 0.9838<br />

0.8 1.0174 1.0133 1.0092 1.0051 1.0011 0.99705 0.9931 0.98918 0.9851<br />

0.7 1.0148 1.0113 1.0077 1.0041 1.0006 0.99705 0.9935 0.99015 0.98672<br />

0.6 1.0122 1.0092 1.0061 1.0031 1.0001 0.99705 0.9941 0.9911 0.9882<br />

0.5 1.0097 1.0072 1.0046 1.0021 0.99958 0.99705 0.9944 0.9921 0.9897<br />

0. 1.0071 1.0051 1.0031 1.0011 0.99908 0.99705 0.9951 0.9931 0.9911<br />

* coefficient of cubicalexpansion.<br />

Examples. All examples are based upon an assumed coefficient of cubical expansion, , of<br />

3<br />

1.3 10 .<br />

20<br />

Example 1. To find the density of a liquid at 20C, d , which has a specific gravity (S) of<br />

25<br />

1.2500 :<br />

25<br />

From the table above<br />

F t<br />

at 20C 1.0036.<br />

20 t<br />

d d SF t<br />

1.2500 1.0036 1.2545<br />

Example 2. To find the density at 20C<br />

20<br />

(d ) of a liquid which has a specific gravity of<br />

17<br />

1.2500 :<br />

4<br />

17<br />

Since the density of water at 4C is equal<strong>to</strong> 1, specific gravity at 17/4 d 1.2500.<br />

Substitution in Equation 3 with F t<br />

at 17C, by interpolation from the table, equal <strong>to</strong> 1.00756,<br />

gives<br />

Sp. gr. 25/25 S 1.2500 1.00756<br />

Substitution of this value for S in Equation 2 with F t<br />

at 20C, from the table, equal <strong>to</strong> 1.0036,<br />

gives<br />

20 t<br />

d d (1.2500 1.00756) 1.0036 1.2451

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