# Thermal Equation of State. Examples. First Reversal Theorem

Chapter

## Abstract

**Axiom I**(Existence of a Thermal Equation of State, Euler, 1757).

*The pressure p acting upon a given body is determined by the volume and temperature of that body:*

$$p = \varpi (V,\theta ),$$

(2.1)

*the domain of ϖ being D. The function ϖ is continuous and has continuous partial derivatives*∂ ϖ /∂

*V and*∂ ϖ /∂

*θ*;

*also*

$${{\partial \varpi } \over {\partial V}} < 0.$$

(2.2)

**Remark**. The relation (2.1) is called the

*thermal equation of state*of a particular

*fluid body*described by the theory; the function v is the

*of that body. The function v, like the domain D, is a constitutive quantity.*

**pressure function**## Keywords

Liquid Water Continuous Partial Derivative Primitive Concept Natural Fluid Thermal Equation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer-Verlag New York Inc. 1977