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Baumé scale

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Tool used for measuring the density of liquids
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TheBaumé scale is a pair ofhydrometer scales developed by French pharmacistAntoine Baumé in 1768 to measuredensity of various liquids. The unit of the Baumé scale has been notated variously asdegrees Baumé,,Bé° and simply Baumé (the accent is not always present). One scale measures the density of liquids heavier than water and the other, liquids lighter than water. The Baumé ofdistilled water is 0. TheAPI gravity scale is based on errors in early implementations of the Baumé scale.

Definitions

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This sectionis missing information about how the scales are merged -- source NIST65 may be useful. Please expand the section to include this information. Further details may exist on thetalk page.(September 2021)

Baumé degrees (heavy) originally represented the percent by mass of sodium chloride in water at 60 °F (16 °C). Baumé degrees (light) was calibrated with 0 °Bé (light) being the density of 10% NaCl in water by mass and 10 °Bé (light) set to the density of water.

Consider, at near room temperature:

  • +100 °Bé (specific gravity, 3.325) would be among thedensest fluids known (except some liquid metals), such asdiiodomethane.
  • Near 0 °Bé would be approximately the density of water.
  • −100 °Bé (specific gravity, 0.615) would be among thelightest fluids known, such as liquidbutane.

Thus, the system could be understood as representing a practical spectrum of the density of liquids between −100 and 100, with values near 0 being the approximate density of water.

Conversions

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The relationship between specific gravity (s.g.; i.e., water-specific gravity, thedensity relative to water) and degrees Baumé is a function of the temperature. Different versions of the scale may use different reference temperatures. Different conversions formulae can therefore be found in various handbooks.

As an example, a 2008 handbook[1] states the conversions between specific gravity and degrees Baumé at a temperature of 60 °F (16 °C):[a]

degrees Baume´={145(11s.g.)for density greater than water140s.g.130for density lesser than waters.g.={145145degrees Baume´for density greater than water140130+degrees Baume´for density lesser than water{\displaystyle {\begin{aligned}\mathrm {degrees\ Baum{\acute {e}}} &={\begin{cases}\displaystyle 145\left(1-{\frac {1}{\text{s.g.}}}\right)&{\text{for density greater than water}}\\[3pt]\displaystyle {\frac {140}{\text{s.g.}}}-130&{\text{for density lesser than water}}\end{cases}}\\[3pt]{\text{s.g.}}&={\begin{cases}\displaystyle {\frac {145}{145-{\text{degrees Baum}}\mathrm {\acute {e}} }}&{\text{for density greater than water}}\\[3pt]\displaystyle {\frac {140}{130+{\text{degrees Baum}}\mathrm {\acute {e}} }}&{\text{for density lesser than water}}\end{cases}}\end{aligned}}}

The numerator in the specific gravity calculation is commonly known as the "modulus".

An older handbook[4] gives the following formulae (no reference temperature being mentioned):[b]

s.g.={144144degrees Baume´for density greater than water144134+degrees Baume´for density lesser than water{\displaystyle {\text{s.g.}}={\begin{cases}\displaystyle {\frac {144}{144-{\text{degrees Baum}}\mathrm {\acute {e}} }}&{\text{for density greater than water}}\\[3pt]\displaystyle {\frac {144}{134+{\text{degrees Baum}}\mathrm {\acute {e}} }}&{\text{for density lesser than water}}\end{cases}}}

Other scales

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Because of vague instructions or errors in translation a large margin of error was introduced when the scale was adopted. TheAPI gravity scale is a result of adapting to the subsequent errors from the Baumé scale. The Baumé scale is related to the Balling,Brix,Plato and 'specific gravity times 1000' scales.[remove or clarification needed]

Use

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Before standardization onspecific gravity around the time ofWorld War II the Baumé scale was generally used in industrial chemistry andpharmacology for the measurement of density of liquids. Today the Baumé scale is still used in various industries such assugar beet processing, ophthalmics,starch industry, winemaking, industrial water treatment, metal finishing, and printed circuit board (PCB) fabrication. It is also used for caustic in refining process.[citation needed]

See also

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Notes

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  1. ^This definition, with two different moduli, is the American standard of Baumé.[2][3]
  2. ^NIST source refers to the 144-based heavy scale as "Holland" or "old".[2]

References

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  1. ^'Perry's Chemical Engineers' Handbook (8th Edition)', McGraw-Hill, 2008. Table 1-13 (page 1-19).ISBN 978-0-07-142294-9
  2. ^ab"NEW BAUME SCALE FOR SUGAR SOLUTIONS"(PDF). October 30, 1918.
  3. ^"59. UNITED STATES STANDARD BAUME HYDROMETER SCALES"(PDF).CIRCULAR OF THE Bureau of Standards. April 5, 1916.
  4. ^Smithells, Colin J. and Al. 'Metals Reference Book', London Butterworths Scientific Publications, 1949. Page 41

Further reading

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  • Boulton, Roger; Vernon Singleton; Linda Bisson; Ralph Kunkee (1996).Principles and Practices of Winemaking. Chapman & Hall.ISBN 0-412-06411-1
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