namely the inverse of the absolute temperature

Overview

In 1834, Emile Clapeyron, in his “Memoir on the Motive Power of Heat”, in his discussion of the work of Sadi Carnot (1824), supposedly (Cardwell, 1971), alluded, defined, and or outlined the roots of the Carnot function in some way; the following is a take on this: [4]

In 1849, William Thomson, in his “An Account of Carnot’s Theory of the Motive Power of Heat: with Numerical Results Deduced from Regnault’s Experiments on Steam”, is said (Cardwell, 1971) to have defined things such that μ (mu) was the reciprocal of Carnot’s function C: [5]

In 1850, Rudolf Clausius, in his 1850 paper “On the Motive Power of Heat”, building on precursory formulations of William Thomson (1849), Emile Clapeyron (1834), and Sadi Carnot (1824), is said to have derived the Carnot function exactly. [2] Specifically, Carnot had initially shown that the efficiency

where

with

In 1865, Clausius, in the footnotes to Memoir One (1850), of his textbook of memoirs, following some derivation referred C as the Carnot function, which he was it was "frequently called", in the context of the following formula: [6]

(add)

Quotes

The following are related quotes:

The following are related quotes:

“The reciprocal ofCarnot’s function, as defined by Clapeyron, is the work done by a unit of heat ‘falling through’ one degree, and on the gas scale it decreases as the temperature increase.”— Donald Cardwell (1971),From Watt to Clausius(pg. 239) [4]

See also

● Thermodynamic function

References

1. Alekseev, G.N. (1978).

2. Clausius, Rudolf. (1850). “On the Moving Force of Heat and the Laws of Heat which may be Deduced Therefrom”, Communicated to the Academy of Berlin, Feb.; in: Poggendorff’s

3. Müller, Ingo. (2007).

4. (a) Clapeyron, Émile. (1834). “Memoir on the Motive Power of Heat”,

(b) Clapeyron, Emile. (1837). “Memoir on the Motive Power of Fire” (pg. 347-58),

(c) Cardwell, Donald S.L. (1971).

5. (a) Thomson, William. (1849). “An Account of Carnot’s Theory of the Motive Power of Heat – with Numerical Results Deduced from Regnault’s Experiments on Steam”, (127-203)

(b) Cardwell, Donald S.L. (1971).

6. Clausius, Rudolf. (1865).

Further reading

● Potter, James H. (1963). “A Note on the Carnot Function” (abs)