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Question 1.25: The Reaumur temperature scale, while now obscure, was once i...

The Reaumur temperature scale, while now obscure, was once in common use in some parts of the world. The normal freezing point of water is defined as 0 degrees Reaumur and the normal boiling point of water is defined as 80 degrees Reaumur. Tolstoy’s War and Peace mentions the temperature “minus 20 degrees Reaumur.” What is this in Celsius, Fahrenheit, Kelvin and Rankine?

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The interval between the freezing and boiling points of water is 80° Reaumur, 100° Celsius and 180°F. Consequently, one degree Reaumur is equal in magnitude to 1.25 (100/80) degrees Celsius or 2.25 degrees Fahrenheit.

0° Reaumur is equivalent to 0°C, 32°F, 273 K or 492 Rankine.

−20 Reaumur (1.25) = −25°C
−20 Reaumur(2.25) + 32 = −13°F
−20 Reaumur(2.25) + 492 = 447 Rankine
−20 Reaumur \left(\frac{5}{4}\right) + 273 = 248 Kelvin

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