The ordinary tables of alcoholic strengths at 15.56° are given in the section on "Alcohol-ometry." The following data, due to Osborne, McKelvy, and Bearce,8 allow of the specific gravity of aqueous alcohol mixtures being calculated for any temperature between 10° and 40°.

1 Phil. Trans., 1847, 249. 2 Phil. Mag., 1848, 22, 123.

3 Gilb. Anna!.., 1811. 4 Pogg. Ann., 1869, 138, 230.

5 Trans. Chem. Soc, 1902, 81, 717.

6 Arkiv Kern. Min. Geol, 1906, 2, No. 24.

7 Ephemeris, 1884-5; Pharm. J., [iii], 1884, 15, 44, and 1885, 16, 147-8.

8 Bull. U.S. Bureau of Standards. Scientific Paper No. 197.

The specific gravity of alcohol at 25° was found to be 0.78506 gram per c.c.

The specific gravity of various mixtures of alcohol and water was determined at 10°, at 40°, and at each interval of 5° between these temperatures. From the results, the values of the coefficients in the following equation were calculated: by weight.

A = D25 + a(t - 25) +β (t - 25)2 + y(t . 25)3.

Here Dt is the specific gravity at any temperature t° between 10° and 40°, and D25 is the specific gravity at 25°. The values of the coefficients a, β, and γ are given in the following table.

Alcohol per cent.

Sp. gr. at

25°. Gram per c.c.

α X 107.

β X 108.

γ X 1010.

0 . .000 (water).

0.997077

- 2565

- 484

+ 319

4.907

0.988317

- 2684

- 502

+ 311

9.984

0.980461

- 3119

- 484

+ 258

19.122

0.967648

- 4526

- 393

+ 180

22.918

0.962133

- 5224

- 331

+ 100

30.086

0.950529

- 6431

- 226

+ 47

39.988

0.931507

- 7488

- 145

- 4

49.961

0.909937

- 8033

- 128

- 24

59.976

0.887051

- 8358

- 121

- 24

70.012

0.863380

- 8581

- 117

- 9

80.036

0.839031

- 8714

- 108

- 69

90.037

0.813516

- 8746

- 93

- 51

99.913

0.785337

- 8593

- 57

- 62

With the aid of this table and the following one giving an extended range of alcohol percentages, the specific gravity of any mixture of ethyl alcohol and water, at any temperature between 10° and 40°, can be calculated from the foregoing equation.

Alcohol per cent.

by weight.

Sp. gr. at

25°. Gram per c.c.

0

0.997077

2

0.993359

5

0.988166

6

0.986563

10

0.980434

15

0.973345

20

0.966392

25

0.958946

30

0.950672

35

0.941459

40

0.931483

45

0.920850

50

0.909852

Alcohol per cent.

by weight.

Sp. gr. at

25°. Gram per c.c.

55

0.898502

60

0.886990

65

0.875269

70

0.863399

75

0.851336

80

0.839114

85

0.826596

90

0.813622

95

0.799912

98

0.791170

99

0.788135

100

0.785058