Redlich Kwong EOS in FPROPS - Revision history

RichardTowers: /* Departure Functions */

2011-06-15T10:15:17Z

Departure Functions

← Older revision		Revision as of 10:15, 15 June 2011
Line 12:		Line 12:
	==Departure Functions==		==Departure Functions==
	Other thermodynamic properties can be calculated from the departure functions:		Other thermodynamic properties can be calculated from the departure functions:

			Helmholtz Energy:

	<math>		<math>
Line 18:		Line 20:
	\end{align}		\end{align}
	</math>		</math>

			Entropy:

	<math>		<math>
Line 24:		Line 28:
	\end{align}		\end{align}
	</math>		</math>

			Enthalpy:

	<math>		<math>
Line 30:		Line 36:
	\end{align}		\end{align}
	</math>		</math>

			Internal Energy:

	<math>		<math>
Line 36:		Line 44:
	\end{align}		\end{align}
	</math>		</math>

			Gibbs free energy:

	<math>		<math>
Line 42:		Line 52:
	\end{align}		\end{align}
	</math>		</math>

			Specific Heat Capacity at Constant Pressure:



			Specific Heat Capacity at Constant Temperature:



			==Other Properties==
			Fugacity:

	<math>		<math>

RichardTowers: /* Overview */

2011-06-09T11:20:50Z

Overview

← Older revision		Revision as of 11:20, 9 June 2011
Line 10:		Line 10:
	</math>		</math>

			==Departure Functions==
	Other thermodynamic properties can be calculated from the departure functions:		Other thermodynamic properties can be calculated from the departure functions:

RichardTowers: Basics of Redlich Kwong

2011-06-09T11:19:31Z

Basics of Redlich Kwong

New page

{{task}}
Work on this continues as part of GSoC 2011 ([[User:richardTowers|Richard Towers]]). See also [[FPROPS]], [[PengRobinson EOS in FPROPS]].
==Overview==
The Redlich-Kwong equation of state is one of several cubic equations of state that FPROPS aims to implement in the future. In its basic form it relates pressure to temperature and relative volume:

<math>
\begin{align}
P=\frac{RT}{V-b}-\frac{a}{V(V+b)}
\end{align}
</math>

Other thermodynamic properties can be calculated from the departure functions:

<math>
\begin{align}
A-A^{0}=-RT\ln\frac{V-b}{V}-\frac{a}{b}\ln\frac{V+b}{V}-RT\ln\frac{V}{V^{0}}
\end{align}
</math>

<math>
\begin{align}
S-S^{0}=R\ln\frac{V-b}{V}-\frac{a}{2bT}\ln\frac{V+b}{V}+R\ln\frac{V}{V^{0}}
\end{align}
</math>

<math>
\begin{align}
H-H^{0}=\frac{bRT}{V-b}-\frac{a}{V+b}-\frac{3a}{2b}\ln\frac{V+b}{V}
\end{align}
</math>

<math>
\begin{align}
U-U^{0}=-\frac{3a}{2b}\ln\frac{V+b}{V}
\end{align}
</math>

<math>
\begin{align}
G-G^{0}=\frac{bRT}{V-b}-\frac{a}{V+b}-RT\ln\frac{V-b}{V}-\frac{a}{b}\ln\frac{V+b}{V}-RT\ln\frac{V}{V^{0}}
\end{align}
</math>

<math>
\begin{align}
\ln\frac{f}{P}=\frac{b}{V-b}-\frac{a}{RT(V+b)}-\ln\frac{V-b}{V}-\frac{a}{bRT}\ln\frac{V+b}{V}-\ln\left(\frac{V}{V-b}-\frac{a}{RT(V+b)}\right)
\end{align}
</math>