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WOLFRAM|DEMONSTRATIONS PROJECT

Dieterici Equation of State

​
gas
He
temperature (K)
207.
This Demonstration plots a series of isotherms for a number of real gases using the Dieterici equation of state. The values of
T
c
,
P
c
, and
V
c
(critical temperature, pressure, and volume),
a
,
b
(attractive and repulsive parameters), and
Z
(compressibility factor) are calculated and displayed. The Demonstration uses Dieterici's equation for
n=1
,
P(V-b)=RT
-a/RTV
e
, the critical constants
T
c
=a/4Rb
,
P
c
=a/4
2
b
2
e
,
V
c
=2b
, and the compressibility factor
Z=
V
V-b
-a/VRT
e
. The ideal gas equation is
PV=nRT
.
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