Réaumur to Rankine: A Comprehensive Guide

This guide explores the conversion between the Réaumur and Rankine temperature scales, offering insights into their historical contexts and practical applications.

Understanding the Scales

Réaumur Scale

Developed by René Antoine Ferchault de Réaumur in 1730, the Réaumur scale is a historical temperature scale. It's characterized by a descending scale, with the freezing point of water set at 0°R and the boiling point at 80°R.

Rankine Scale

Named after William John Macquorn Rankine, the Rankine scale is an absolute thermodynamic temperature scale. 0°R represents absolute zero, the lowest possible temperature. The scale utilizes the same degree size as Fahrenheit but with a shifted zero point.

The Conversion Formula

The formula to convert Réaumur (°R) to Rankine (R) is:

**Rankine (°R) = (Réaumur (°R) * 9/4) + 491.67**

Example Conversion

Let's convert 20°R (Réaumur) to Rankine:

  1. Multiply the Réaumur temperature by 9/4: 20R * (9/4) = 45
  2. Add 491.67 to the result: 45 + 491.67 = 536.67R

Therefore, 20 degrees Réaumur is equivalent to 536.67 degrees Rankine.

Applications of the Conversion

Understanding this conversion is valuable in several contexts:

  • Historical Research:** Analyzing data recorded using the Réaumur scale and comparing it with data on the Rankine scale.
  • Engineering Applications:** Working with thermodynamic systems that utilize the Rankine scale and require data from historical sources using the Réaumur scale.
  • Scientific Data Analysis:** Converting between different temperature scales for accurate data interpretation and comparison.
Réaumur Rankine Réaumur Rankine Réaumur Rankine Réaumur Rankine
1ºRé493.92°R21ºRé538.92°R41ºR583.92°R61ºRé628.92°R
2ºRé496.17°R22ºRé541.17°R42ºR586.17°R62ºRé631.17°R
3ºRé498.42°R23ºRé543.42°R43ºR588.42°R63ºRé633.42°R
4ºRé500.67°R24ºRé545.67°R44ºR590.67°R64ºRé635.67°R
5ºRé502.92°R25ºRé547.92°R45ºR592.92°R65ºRé637.92°R
6ºRé505.17°R26ºRé550.17°R46ºR595.17°R66ºRé640.17°R
7ºRé507.42°R27ºRé552.42°R47ºR597.42°R67ºRé642.42°R
8ºRé509.67°R28ºRé554.67°R48ºR599.67°R68ºRé644.67°R
9ºRé511.92°R29ºRé556.92°R49ºR601.92°R69ºRé646.92°R
10ºRé514.17°R30ºRé559.17°R50ºRé604.17°R70ºRé649.17R
11ºRé516.42°R31ºRé561.42°R51ºRé606.42°R71ºRé651.42°R
12ºRé518.67°R32ºRé563.67°R52Ré608.67°R72ºRé653.67°R
13ºRé520.92°R33ºRé565.92°R53ºRé610.92°R73ºRé655.92°R
14ºRé523.17°R34ºRé568.17°R54ºRé613.17°R74ºRé658.17°R
15ºRé525.42°R35ºRé570.42°R55ºRé615.42°R75ºRé660.42°R
16ºRé527.67°R36ºRé572.67°R56ºRé617.67°R76ºRé662.67°R
17ºRé529.92°R37ºRé574.92°R57ºRé619.92°R77ºRé664.92°R
18ºRé532.17°R38ºRé577.17°R58ºRé622.17°R78ºRé667.17°R
19ºRé534.42°R39ºRé579.42°R59ºRé624.42°R79ºRé669.42°R
20ºRé536.67R40ºRé581.67°R60ºRé626.67°R80ºRé671.67°R