Réaumur scale

From HandWiki
Revision as of 17:36, 6 February 2024 by Dennis Ross (talk | contribs) (fixing)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Short description: A Thermometry Scale
Old thermometer in a pharmacy in Vienna, showing room temperature by Reaumur scale.
Réaumur and Celsius scale on thermometer. Private collection, central Europe.

The Réaumur scale (French pronunciation: ​[ʁeomy(ː)ʁ]; °Ré, °Re, °r), also known as the "octogesimal division",[1] is a temperature scale for which the melting and boiling points of water are defined as 0 and 80 degrees respectively. The scale is named for René Antoine Ferchault de Réaumur, who first proposed a similar scale in 1730.[2]

Change in scale

Réaumur's thermometer contained diluted alcohol (ethanol) and was constructed on the principle of using 0° for the melting temperature of water, and graduating the tube into degrees, each of which was one-thousandth of the volume contained by the bulb and tube up to the zero mark. He suggested that the concentration of alcohol employed be such that it began boiling at 80 °Ré – that is, when it had expanded in volume by 8%. He chose alcohol instead of mercury because it expands more visibly, but this posed problems: his original thermometers were very bulky, and the low boiling point of alcohol made them unsuitable for many applications. Instrument-makers generally chose different liquids, and then used 80 °Ré to signify the boiling point of water, causing much confusion.

During 1772 Jean-André Deluc studied the several substances then used in thermometers and concluded that mercury thermometers were the best for practical use, on the grounds that among these substances its volume varies the most linearly with the method of mixtures. In detail, if two portions of water of equal masses A, B were mixed, and let the resulting water be C, and if we immerse a thermometer in A, B, C, we obtain lengths [math]\displaystyle{ l_A, l_B, l_C }[/math]. Deluc expected that [math]\displaystyle{ l_C = \frac 12 (l_A + l_B) }[/math], and similarly for other ratios of mixtures. He found that thermometers made using mercury allowed the closest fit to his expectation of linearity.[3]

From the late 18th century mercury was used almost without exception.[4] Its range is 0 to 80 degrees.

Use

The Réaumur scale was used widely in Europe, particularly in France, Germany and Russia, and was referenced in the works of Thomas Mann, Dostoyevsky, Flaubert, Joyce, Tolstoy, and Nabokov.[5][6][7][8] For example, at the beginning of Book X of The Brothers Karamazov, the narrator says, "We had eleven degrees of frost", i.e. −11 °Ré, equivalent to −14 °C or 7 °F.[9] By the 1790s, France had chosen the Celsius scale as part of the metric system, rather than the Réaumur measurement,[2] but it was used commonly in some parts of Europe until at least the mid-19th century,[10] and in parts of Russia until the early 20th. While living in Paris, George Orwell mentions "translating Réaumur into Fahrenheit" even in 1929. Its main modern uses are in some Italian and Swiss factories for measuring milk temperature during cheese production,[11] and in the Netherlands for measuring temperature when cooking sugar syrup[citation needed] for desserts and sweets.

Uses outside of Europe include a Mexican colonel in Santa Anna's army in San Antonio, Texas in 1836 recording the night's temperature as 34 °F and 1 °Ré.[12]

Conversion between different temperature units

<timeline> ImageSize = width:905 height:50 PlotArea = left:80 right:15 bottom:20 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:223 till:383 TimeAxis = orientation:horizontal ScaleMajor = unit:year increment:10 start:230 ScaleMinor = unit:year increment:1 start:223

PlotData=

 align:center textcolor:black fontsize:8 mark:(line,black) width:25 shift:(0,-5)

LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 at:233.15 color:lightline layer:back
 at:253.15 color:lightline layer:back
 at:273.15 color:lightline layer:back
 at:293.15 color:lightline layer:back
 at:313.15 color:red layer:back
 at:333.15 color:lightline layer:back
 at:353.15 color:lightline layer:back
 at:373.15 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,13)
  text: Kelvin K

</timeline>
<timeline> ImageSize = width:905 height:50 PlotArea = left:80 right:15 bottom:20 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:-50 till:110 TimeAxis = orientation:horizontal ScaleMajor = unit:year increment:10 start:-50 ScaleMinor = unit:year increment:1 start:-50

PlotData=

 align:center textcolor:black fontsize:8 mark:(line,black) width:5 shift:(0,-5)

LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 at:-40 color:lightline layer:back
 at:-20 color:lightline layer:back
 at:0 color:lightline layer:back
 at:20 color:lightline layer:back
 at:40 color:red layer:back
 at:60 color:lightline layer:back
 at:80 color:lightline layer:back
 at:100 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,13)
  text: Celsius °C

</timeline>
<timeline> ImageSize = width:905 height:50 PlotArea = left:80 right:15 bottom:20 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:-58 till:230 TimeAxis = orientation:horizontal ScaleMajor = unit:year increment:10 start:-50 ScaleMinor = unit:year increment:1 start:-58 PlotData=

 align:center textcolor:black fontsize:8 mark:(line,black) width:25 shift:(0,-5)

LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 at:-40 color:lightline layer:back
 at:-4 color:lightline layer:back
 at:32 color:lightline layer:back
 at:68 color:lightline layer:back
 at:104 color:red layer:back
 at:140 color:lightline layer:back
 at:176 color:lightline layer:back
 at:212 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,13)
  text:Fahrenheit °F

</timeline>
<timeline> ImageSize = width:905 height:50 PlotArea = left:80 right:15 bottom:20 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:402 till:690 TimeAxis = orientation:horizontal ScaleMajor = unit:year increment:10 start:410 ScaleMinor = unit:year increment:1 start:402 PlotData=

 align:center textcolor:black fontsize:8 mark:(line,black) width:25 shift:(0,-5)

LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 at:419.7   color:lightline layer:back
 at:455.7   color:lightline layer:back
 at:491.7   color:lightline layer:back
 at:527.7   color:lightline layer:back
 at:563.7 color:red layer:back
 at:599.7 color:lightline layer:back
 at:635.7  color:lightline layer:back
 at:671.7 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,13)
  text:Rankine °Ra

</timeline>
<timeline> ImageSize = width:905 height:50 PlotArea = left:80 right:15 bottom:20 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:-18.75 till:65.25 TimeAxis = orientation:horizontal ScaleMajor = unit:year increment:5 start:-15 ScaleMinor = unit:year increment:1 start:-18

PlotData=

 align:center textcolor:black fontsize:8 mark:(line,black) width:5 shift:(0,-5)

LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 
 at:-13.5 color:lightline layer:back
 at:-3 color:lightline layer:back
 at:7.5 color:lightline layer:back
 at:18 color:lightline layer:back
 at:28.5 color:red layer:back
 at:39 color:lightline layer:back
 at:49.5 color:lightline layer:back
 at:60 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,13)
  text:Rømer °Rø

</timeline>
<timeline> ImageSize = width:905 height:50 PlotArea = left:80 right:15 bottom:20 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:-16.5 till:36.3 TimeAxis = orientation:horizontal ScaleMajor = unit:year increment:5 start:-15 ScaleMinor = unit:year increment:1 start:-15

PlotData=

 align:center textcolor:black fontsize:8 mark:(line,black) width:5 shift:(0,-5)

LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 
 at:-13.2 color:lightline layer:back
 at:-6.6 color:lightline layer:back
 at:0 color:lightline layer:back
 at:6.6 color:lightline layer:back
 at:13.2 color:red layer:back
 at:19.8 color:lightline layer:back
 at:26.4 color:lightline layer:back
 at:33 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,13)
  text:Newton °N

</timeline>
<timeline> ImageSize = width:905 height:50 PlotArea = left:80 right:15 bottom:20 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:-15 till:225 DateFormat = yyyy TimeAxis = orientation:horizontal order:reverse format:yyyy ScaleMajor = unit:year increment:15 start:-15 ScaleMinor = unit:year increment:1 start:-15


LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 
 at:0 color:lightline layer:back
 at:30 color:lightline layer:back
 at:60 color:lightline layer:back
 at:90 color:red layer:back
 at:120 color:lightline layer:back
 at:150 color:lightline layer:back
 at:180 color:lightline layer:back
 at:210 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,13)
  text:Delisle °D 

</timeline>
<timeline> ImageSize = width:905 height:100 PlotArea = left:80 right:15 bottom:70 top:5 AlignBars = justify Colors =

 id:black  value:black
 id:white  value:white
 id:lightline  value:rgb(0.8,0.8,0.8)

Period = from:-40 till:88 TimeAxis = orientation:horizontal ScaleMajor = unit:year increment:10 start:-30 ScaleMinor = unit:year increment:1 start:-40 PlotData=

 align:center textcolor:black fontsize:8 mark:(line,black) width:25 shift:(0,-5)

LineData=

 at:start      color:green layer:front
 at:end        color:green layer:front
 at:-32 color:lightline layer:back
 at:-16 color:lightline layer:back
 at:0 color:lightline layer:back
 at:16 color:lightline layer:back
 at:32 color:red layer:back
 at:48 color:lightline layer:back
 at:64 color:lightline layer:back
 at:80 color:lightline layer:back

TextData =

  fontsize:10
  textcolor:blue
  pos:(0,60)
  text:Réaumur °Ré
  fontsize:12
  textcolor:red
  pos:(110,20)
  text:313.15 K   =   40 °C   =   104 °F   =   563.67 °Ra   =   28.5 °Rø   =    13.2 °N   =   90 °D   =   32 °Ré

</timeline>

See also

Notes and references

  1. Division octogesimale in French.
  2. 2.0 2.1 Simons, Paul (17 October 2007). "How Reaumur fell off the temperature scale". The Times. https://www.thetimes.co.uk/article/how-reaumur-fell-off-the-temperature-scale-gg862jbms8b. 
  3. Chang, Hasok (2007). Inventing temperature : measurement and scientific progress. Oxford. p. 64. ISBN 978-0-19-533738-9. OCLC 457147642. https://www.worldcat.org/oclc/457147642. 
  4. Herbert Dingle. The scientific adventure: essays in the history and philosophy of science. Sir Isaac Pitman and Sons, London, 1952. Page 131.
  5. Thomas Mann, The Magic Mountain, p. 93, Random House, Chapter IV on Google Books.
  6. Fyodor Dostoyevsky, Crime and Punishment, p. 268 Vintage Books. Part 3, Chapter VI on Project Gutenberg.
  7. Leo Tolstoy, Anna Karenina, p. 685, Wordsworth Editions Limited
  8. Vladimir Nabokov, The Real Life of Sebastian Knight, p. 1. Penguin Books.
  9. The Brothers Karamazov, trans. Pevear and Volokhovsky (Vintage, 1991), p. 515.
  10. Draper, John William (1852). Textbook on chemistry. New York: Harper and Brothers. p. 20. https://archive.org/details/bub_gb_HKwS7QDh5eMC. "draper, john william." 
  11. Reaumur thermometer for Parmigiano-Reggiano cheese)
  12. Hansen, Todd E. (2003). The Alamo Reader. Stackpole Books. p. 364.