Abstract
In this chapter, the correlation between the thermal state variables pressure p, specific volume v and temperature T is investigated. As already discussed in the previous chapter, thermal state values can easily be measured. Furthermore, according to Gibbs’ phase law for ideal gases two intensive state values, i.e. pressure and temperature, fix the state of a thermodynamic system unequivocally. Thus, a mathematical function to calculate the third thermal state value v must exist:
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- 1.
Joseph Louis Gay-Lussac (\(*\)6 December 1778 in Saint-Léonard-de-Noblat, \(\dagger \)9 May 1850 in Paris).
- 2.
Assuming, that the ambient pressure \(p_{\text {env}}\) is constant as well. This is an essential assumption for the environment: Its state is constant and homogeneous!
- 3.
Robert Boyle (\(*\)4 February 1627 in Lismore, Ireland, \(\dagger \)10 January 1692 in London).
- 4.
Edme Mariotte (\(*\)1620 in Dijon, \(\dagger \)12 May 1684 in Paris).
- 5.
Lorenzo Romano Amedeo Carlo Avogadro (\(*\)9 August 1776 in Turin, \(\dagger \)9 July 1856 in Turin).
- 6.
According to DIN 1343.
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Schmidt, A. (2019). Thermal Equation of State. In: Technical Thermodynamics for Engineers. Springer, Cham. https://doi.org/10.1007/978-3-030-20397-9_6
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DOI: https://doi.org/10.1007/978-3-030-20397-9_6
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