The Internal Energy of a PV = RT Gas: A Univariable or Multivariable Function |
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| Authors: | Glenn B Stracher and Albert G Guy |
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| Institution: | (1) Department of Geology, East Georgia College, University System of Georgia, Swainsboro, Georgia, 30401;(2) Materials Science and Engineering, University of Florida, Gainesville, Florida;(3) Present address: 3939 NE 5th Avenue, Apt. E105, Boca Raton, Florida, 33431 |
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| Abstract: | Historically, the characterization of the internal energy of a simple gas is based on free expansion experiments and imprecise use of the word function, which is rigorously defined in mathematics. Univariable equations of state show that the internal energy of simple monatomic, diatomic, and polyatomic gases can be expressed as a  function of temperature only. However, multivariable equations of state derived from composite functions confirm that the internal energy of these gases can in each situation also be expressed as a function of pressure and volume only. It is essential that the mathematical definition of the word function be adhered to in science because it is fundamental for the formulation of the calculus, a mathematical tool essential for solving a variety of thermodynamics problems. |
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| Keywords: | first law free expansion heat capacity equations of state |
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