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Réaumur scale

Réaumur scale is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Réaumur scale rather than just read about it. In short: The Réaumur scale (French pronunciation: [ʁeomy(ː)ʁ]; °Ré, °Re, °r), also known as the "octogesimal division", is a temperature scale for which the freezing point 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.

Réaumur scale — main illustration
Réaumur scale — illustration

Key takeaways

  • Réaumur scale belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Réaumur scale to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Réaumur scale from memory before moving on to harder problems.

Reference excerpt

The Réaumur scale (French pronunciation: [ʁeomy(ː)ʁ]; °Ré, °Re, °r), also known as the "octogesimal division", is a temperature scale for which the freezing point 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.

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 l A , l B , l C {\displaystyle l_{A},l_{B},l_{C}} . Deluc expected that l C = 1 2 ( l A + l B ) {\displaystyle l_{C}={\frac {1}{2}}(l_{A}+l_{B})} , and similarly for other ratios of mixtures. He found that thermometers made using mercury allowed the closest fit to his expectation of linearity. From the late 18th century, mercury was used almost without exception.

Use The Réaumur scale was used widely in Europe, particularly in France, Germany and Russia, and was referenced in the works of Thomas Jefferson, Thomas Mann, Fyodor Dostoevsky, Gustave Flaubert, James Joyce, Leo Tolstoy, and Vladimir Nabokov. For example, in Query VII of Notes on the State of Virginia, Jefferson converts readings from the Fahrenheit thermometer at Williamsburg to the Réaumur scale. 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. By the 1790s, France had chosen the centigrade scale as part of the metric system, rather than the Réaumur measurement, but the Réaumur scale continued to be used in some parts of Europe until at least the mid-19th century, and in parts of Russia until the early 20th. Its main modern uses are in some Italian and Swiss factories for measuring milk temperature during cheese production, and in the Netherlands for measuring temperature when cooking sugar syrup 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.

Conversion between different temperature units

See also Outline of metrology and measurement

Notes and references

Illustrations

Réaumur scale: Old thermometer in a pharmacy in Vienna, showing room temperature by Réaumur scale.
Old thermometer in a pharmacy in Vienna, showing room temperature by Réaumur scale.
Réaumur scale: Réaumur and Celsius scale on thermometer. Private collection, central Europe.
Réaumur and Celsius scale on thermometer. Private collection, central Europe.
Réaumur scale: A three-scale thermometer manufactured by Pichlers Witwe and Sohn in Vienna
A three-scale thermometer manufactured by Pichlers Witwe and Sohn in Vienna

Worked examples

Example 1 — a first encounter with Réaumur scale

Start with the simplest possible case. Write down what Réaumur scale claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Réaumur scale before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Réaumur scale ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Réaumur scale

In research
Réaumur scale appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Réaumur scale in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Réaumur scale is common in secondary-school and first-year university syllabi. It links to neighbouring topics Obsolete units of measurement, Scales in meteorology, Scales of temperature, so understanding it makes those chapters shorter.
In everyday life
Look for Réaumur scale outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Réaumur scale in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Réaumur scale means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Réaumur scale out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Réaumur scale in simple terms?

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

Why does Réaumur scale matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Réaumur scale?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Réaumur scale.

Tags

  • Obsolete units of measurement
  • Scales in meteorology
  • Scales of temperature
  • Science and technology in France

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