The following table shows the specific gravities of solutions corresponding to baumé degrees from 1° to 75° consecutively[31]:
| Degree baumé | Specific gravity | Degree baumé | Specific gravity | Degree baumé | Specific gravity | Degree baumé | Specific gravity |
|---|---|---|---|---|---|---|---|
| 0 | 1.0000 | 19 | 1.1516 | 38 | 1.3574 | 57 | 1.6527 |
| 1 | 1.0069 | 20 | 1.1608 | 39 | 1.3703 | 58 | 1.6719 |
| 2 | 1.0140 | 21 | 1.1702 | 40 | 1.3834 | 59 | 1.6915 |
| 3 | 1.0212 | 22 | 1.1798 | 41 | 1.3968 | 60 | 1.7115 |
| 4 | 1.0285 | 23 | 1.1895 | 42 | 1.4104 | 61 | 1.7321 |
| 5 | 1.0358 | 24 | 1.1994 | 43 | 1.4244 | 62 | 1.7531 |
| 6 | 1.0433 | 25 | 1.2095 | 44 | 1.4386 | 63 | 1.7748 |
| 7 | 1.0509 | 26 | 1.2197 | 45 | 1.4530 | 64 | 1.7968 |
| 8 | 1.0586 | 27 | 1.2301 | 46 | 1.4678 | 65 | 1.8194 |
| 9 | 1.0665 | 28 | 1.2407 | 47 | 1.4829 | 66 | 1.8427 |
| 10 | 1.0744 | 29 | 1.2514 | 48 | 1.4983 | 67 | 1.8665 |
| 11 | 1.0825 | 30 | 1.2624 | 49 | 1.5140 | 68 | 1.8909 |
| 12 | 1.0906 | 31 | 1.2735 | 50 | 1.5301 | 69 | 1.9161 |
| 13 | 1.0989 | 32 | 1.2849 | 51 | 1.5465 | 70 | 1.9418 |
| 14 | 1.1074 | 33 | 1.2964 | 52 | 1.5632 | 71 | 1.9683 |
| 15 | 1.1159 | 34 | 1.3081 | 53 | 1.5802 | 72 | 1.9955 |
| 16 | 1.1246 | 35 | 1.3201 | 54 | 1.5978 | 73 | 2.0235 |
| 17 | 1.1335 | 36 | 1.3323 | 55 | 1.6157 | 74 | 2.0523 |
| 18 | 1.1424 | 37 | 1.3447 | 56 | 1.6340 | 75 | 2.0819 |
55. Correction for Temperature.—The baumé hydrometer should be used at the temperature for which it is graduated, usually 15°. In this country the mean temperature of our working rooms is above 15°. The liquid in the hydrometer flask should therefore be cooled to a trifle below 15°, or kept in a bath exactly at 15° while the observation is made. When this is not convenient, the observation may be made at any temperature, and the reading corrected as follows: When the temperature is above 15° multiply the difference between the observed temperature and fifteen, by 0.0471 and add the product to the observed reading of the baumé hydrometer; when the temperature on the other hand, is below fifteen, the corresponding product is subtracted.[32]
56. The Balling or Brix Hydrometer.—The object of the balling or brix instrument is to give in direct percentages the solid matter in solution. It is evident that for this purpose the instrument must be graduated for a particular kind of material, since ten per cent of sugar in solution, might have a very different specific gravity from a similar quantity of another body. Instruments of this kind graduated for pure sugar, find a large use in technical sugar analysis. To attain a greater accuracy and avoid an instrument with too long a stem, the brix hydrometers are made in sets. A convenient arrangement is to have a set of three graduated as follows; one from 0° to 30°, one from 25° to 50°, and one from 45° to 85°. When the percentage of solid matter dissolved is over seventy the readings of the scale are not very reliable.
57. Correction for Temperature.—The brix as the baumé scale is graduated at a fixed temperature. This temperature is usually 17°.5. The following table shows the corrections to be applied to the scale reading when made at any other temperature:[33]
Per Cent of Sugar in Solution.
| 0. | 5. | 10. | 15. | 20. | 25. | 30. | 35. | 40. | 50. | 60. | 70. | 75. | |
| Temp. | To be subtracted from the degree read. | ||||||||||||
| 0° | 0.17 | 0.30 | 0.41 | 0.52 | 0.62 | 0.72 | 0.82 | 0.92 | 0.98 | 1.11 | 1.22 | 1.25 | 1.29 |
| 5° | 0.23 | 0.30 | 0.37 | 0.44 | 0.52 | 0.59 | 0.65 | 0.72 | 0.75 | 0.80 | 0.88 | 0.91 | 0.94 |
| 10° | 0.20 | 0.26 | 0.29 | 0.33 | 0.36 | 0.39 | 0.42 | 0.45 | 0.48 | 0.50 | 0.54 | 0.58 | 0.61 |
| 11° | 0.18 | 0.23 | 0.26 | 0.28 | 0.31 | 0.34 | 0.36 | 0.39 | 0.41 | 0.43 | 0.47 | 0.50 | 0.53 |
| 12° | 0.16 | 0.20 | 0.22 | 0.24 | 0.26 | 0.29 | 0.31 | 0.33 | 0.34 | 0.36 | 0.40 | 0.42 | 0.46 |
| 13° | 0.14 | 0.18 | 0.19 | 0.21 | 0.22 | 0.24 | 0.26 | 0.27 | 0.28 | 0.29 | 0.33 | 0.35 | 0.39 |
| 14° | 0.12 | 0.15 | 0.16 | 0.17 | 0.18 | 0.19 | 0.21 | 0.22 | 0.22 | 0.23 | 0.26 | 0.28 | 0.32 |
| 15° | 0.09 | 0.11 | 0.12 | 0.14 | 0.14 | 0.15 | 0.16 | 0.16 | 0.17 | 0.17 | 0.19 | 0.21 | 0.25 |
| 16° | 0.06 | 0.07 | 0.08 | 0.09 | 0.10 | 0.10 | 0.11 | 0.12 | 0.12 | 0.12 | 0.14 | 0.16 | 0.18 |
| 17° | 0.02 | 0.02 | 0.03 | 0.03 | 0.03 | 0.04 | 0.04 | 0.04 | 0.04 | 0.04 | 0.05 | 0.05 | 0.06 |
| To be added to the degree read. | |||||||||||||
| 18° | 0.02 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.03 | 0.02 |
| 19° | 0.06 | 0.08 | 0.08 | 0.09 | 0.09 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.10 | 0.08 | 0.06 |
| 20° | 0.11 | 0.14 | 0.15 | 0.17 | 0.17 | 0.18 | 0.18 | 0.18 | 0.19 | 0.19 | 0.18 | 0.15 | 0.11 |
| 21° | 0.16 | 0.20 | 0.22 | 0.24 | 0.24 | 0.25 | 0.25 | 0.25 | 0.26 | 0.26 | 0.25 | 0.22 | 0.18 |
| 22° | 0.21 | 0.26 | 0.28 | 0.31 | 0.31 | 0.32 | 0.32 | 0.32 | 0.33 | 0.34 | 0.32 | 0.29 | 0.25 |
| 23° | 0.27 | 0.32 | 0.35 | 0.37 | 0.38 | 0.39 | 0.39 | 0.39 | 0.40 | 0.42 | 0.39 | 0.36 | 0.33 |
| 24° | 0.32 | 0.38 | 0.41 | 0.43 | 0.44 | 0.46 | 0.46 | 0.47 | 0.47 | 0.50 | 0.46 | 0.43 | 0.40 |
| 25° | 0.37 | 0.44 | 0.47 | 0.49 | 0.51 | 0.53 | 0.54 | 0.55 | 0.55 | 0.58 | 0.54 | 0.51 | 0.48 |
| 26° | 0.43 | 0.50 | 0.54 | 0.56 | 0.58 | 0.60 | 0.61 | 0.62 | 0.62 | 0.66 | 0.62 | 0.58 | 0.55 |
| 27° | 0.49 | 0.57 | 0.61 | 0.63 | 0.65 | 0.68 | 0.68 | 0.69 | 0.70 | 0.74 | 0.70 | 0.65 | 0.62 |
| 28° | 0.56 | 0.64 | 0.68 | 0.70 | 0.72 | 0.76 | 0.76 | 0.78 | 0.78 | 0.82 | 0.78 | 0.72 | 0.70 |
| 29° | 0.63 | 0.71 | 0.75 | 0.78 | 0.79 | 0.84 | 0.84 | 0.86 | 0.86 | 0.90 | 0.88 | 0.80 | 0.78 |
| 30° | 0.70 | 0.78 | 0.82 | 0.87 | 0.87 | 0.92 | 0.92 | 0.94 | 0.94 | 0.98 | 0.94 | 0.88 | 0.86 |
| 35° | 1.10 | 1.17 | 1.22 | 1.24 | 1.30 | 1.32 | 1.33 | 1.35 | 1.36 | 1.39 | 1.34 | 1.27 | 1.25 |
| 40° | 1.50 | 1.61 | 1.67 | 1.71 | 1.73 | 1.79 | 1.79 | 1.80 | 1.82 | 1.83 | 1.78 | 1.69 | 1.65 |
| 50° | — | 2.65 | 2.71 | 2.74 | 2.78 | 2.80 | 2.80 | 2.80 | 2.80 | 2.79 | 2.70 | 2.56 | 2.51 |
| 60° | — | 3.87 | 3.88 | 3.88 | 3.88 | 3.88 | 3.88 | 3.88 | 3.90 | 3.82 | 3.70 | 3.43 | 3.41 |
| 70° | — | — | 5.18 | 5.20 | 5.14 | 5.13 | 5.10 | 5.08 | 5.06 | 4.90 | 4.72 | 4.47 | 4.35 |
| 80° | — | — | 6.62 | 6.59 | 6.54 | 6.16 | 6.38 | 6.30 | 6.26 | 6.06 | 5.82 | 5.50 | 5.33 |
According to observations of Gerlach, the correction for temperature varies with the concentration of the solution and the range of temperature as shown in the table.
58. Comparison of Brix and Baumé Degrees.—The following table shows the degree baumé and the specific gravity of a sugar solution for each degree brix (per cent of sugar in solution) from zero to ninety-five:[34]