Twu-Sim-Tassone equation of state: Difference between revisions

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Twu, Sim and Tassone presented a cubic equation of state for accurate representation of hydrocarbon that has become known as the '''Twu-Sim-Tassone''' or '''TST equation of state'''<ref>Twu, C.H., et al, "A Versatile Liquid Activity Model for SRK, PR and A New Cubic Equation of State TST." ''Fluid Phase Equilibria'', 194-197, pp. 385-399, (2002)</ref>.  With a critical compressibility factor <math>Z_c</math> of 0.2962, it better represents many the compressibility of than the [[Redlich-Kwong equation of state]], including the Soave modified version, and the [[Peng and Robinson equation of state]] and has been shown to better represent long chain hydrocarbons<ref>Twu, C.H., Sim, W.D., Tassone, V. "Getting a Handle on Advanced Cubic Equation of State." ''Measurement & Control'', pp. 58-65, (2002).</ref>.
Twu, Sim and Tassone presented a cubic [[Equations of state|equation of state]] for accurate representation of hydrocarbons that has become known as the '''Twu-Sim-Tassone''' or '''TST equation of state'''<ref>[http://dx.doi.org/10.1016/S0378-3812(01)00663-X Chorng H. Twu, Wayne D. Sim and Vince Tassone "A versatile liquid activity model for SRK, PR and a new cubic equation-of-state TST", Fluid Phase Equilibria '''194-197''' pp. 385-399 (2002)]</ref>.  With a critical [[compressibility factor]] of (Eq. 5)


The equation follows the general cubic form resulting in the equation:
:<math>Z_c = \frac{p_cv_c}{RT_c} = \frac{8}{27} </math>
 
it better represents  the compressibility than many of than the [[Redlich-Kwong equation of state]]s, including the [[Redlich-Kwong equation of state#Soave modification | Soave modified version]], and the [[Peng and Robinson equation of state]].
 
The equation follows the general cubic form resulting in the equation (Eq. 2):


:<math>p=\frac{RT}{V_m-b}-\frac{a}{(V_m-0.5b)(V_m+3b)}</math>
:<math>p=\frac{RT}{V_m-b}-\frac{a}{(V_m-0.5b)(V_m+3b)}</math>


Where <math>V_m</math> is the molar volume, and <math>a</math> and <math>b</math> are the attractive and repulsive parameters akin to those of the [[Van der Waals equation of state]].
where <math>V_m</math> is the molar volume, <math>R</math> is the [[molar gas constant]], <math>T</math> is the [[temperature]], <math>p</math> is the [[pressure]], and <math>a</math> and <math>b</math> are the attractive and repulsive parameters akin to those of the [[Van der Waals equation of state]]. Relations exists between <math>a</math> and <math>b</math> and the critical parameters <math>T_c</math> and <math>p_c</math> in the forms (Eqs. 3 and 4):
 
:<math>a_c= Z_c \frac{343}{216}\frac{R^2T_c^2}{p_c}</math>
 
:<math>b_c= Z_c \frac{RT_c}{4p_c}</math>


==References==
==References==
<references/>
<references/>
;Related reading
*[http://www.aiche.org/uploadedFiles/CEP/Issues/110258.pdf Chorng H. Twu, Wayne D. Sim and Vince Tassone "Getting a Handle on Advanced Cubic Equation of State", Chemical Engineering Progress '''November''' pp. 58-65 (2002)]
[[category: equations of state]]

Latest revision as of 05:06, 9 April 2024

Twu, Sim and Tassone presented a cubic equation of state for accurate representation of hydrocarbons that has become known as the Twu-Sim-Tassone or TST equation of state[1]. With a critical compressibility factor of (Eq. 5)

it better represents the compressibility than many of than the Redlich-Kwong equation of states, including the Soave modified version, and the Peng and Robinson equation of state.

The equation follows the general cubic form resulting in the equation (Eq. 2):

where is the molar volume, is the molar gas constant, is the temperature, is the pressure, and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle a} and are the attractive and repulsive parameters akin to those of the Van der Waals equation of state. Relations exists between Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle a} and and the critical parameters and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p_c} in the forms (Eqs. 3 and 4):

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a_c= Z_c \frac{343}{216}\frac{R^2T_c^2}{p_c}}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b_c= Z_c \frac{RT_c}{4p_c}}

References[edit]

  1. ↑ Chorng H. Twu, Wayne D. Sim and Vince Tassone "A versatile liquid activity model for SRK, PR and a new cubic equation-of-state TST", Fluid Phase Equilibria 194-197 pp. 385-399 (2002)
Related reading
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