# 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

Calorimetry Compressibility## Preview

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## Copyright information

© Springer-Verlag New York Inc. 1977