Examples

Abstract

Since in the theory so far constructed the three constitutive functions ϖ,Λ _V , and K _V are independent of one another, a fluid body with a given pressure function ϖ may have as adiabats curves of any shape compatible with arbitrary assignment of the functions A _v and K _v satisfying the conditions in Axiom II. This generality is excessive. The pressure function ϖ of a body should lay conditions upon Λ _V and K _V and thus restrict the shapes allowable to the adiabats of that body. One of the objectives of thermodynamics is to find such conditions, and Chapter 9 will provide them. In considering now some possible forms of adiabats, isobars, piezotropes, and neutral curves, for economy's sake we choose only such as are compatible with all restrictions to be derived later on the basis of further axioms.