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Generalized Force
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The generalized forces (intensive variables) and their corresponding conjugate variables (extensive variables) represent how various microscopic parameters can be calculated from microscopic distributions.

>Model

ID:(438, 0)


Examples of intensive and extensive variables
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An article that summarizes most of the thermodynamic relationships very well is Use of Legendre Transforms in Chemical Thermodynamics, Robert A. Alberty, Pure Appl. Chem., Vol. 73, No. 8, pp. 13491380, 2001 containing the following table of pairs of extensive and intensive variables:

ID:(11545, 0)


Generalized Force
Model

The generalized forces (intensive variables) and their corresponding conjugate variables (extensive variables) represent how various microscopic parameters can be calculated from microscopic distributions.

Variables
Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$T$
T
Absolute temperature
K
$\beta$
beta
beta
-
$\beta$
beta
Beta del sistema
1/J
$E$
E
Energía del sistema
J
$X_i$
X_i
Fuerza generalizada
-
$Z$
Z
Función Partición
-
$\Omega_h$
Omega_h
Número de Estados
-
$N$
N
Numero de Partículas
-
$p$
p
Presión
Pa
$p$
p
Pressure
Pa
$x_i$
x_i
Variable extensiva
-
$V$
V
Volume
m^3
$V$
V
Volumen
m^3

Calculations

First, select the equation:   to ,  then, select the variable:   to 
Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used


Equations

Examples

An article that summarizes most of the thermodynamic relationships very well is Use of Legendre Transforms in Chemical Thermodynamics, Robert A. Alberty, Pure Appl. Chem., Vol. 73, No. 8, pp. 13491380, 2001 containing the following table of pairs of extensive and intensive variables:

(ID 11545)

ID:(438, 0)