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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)
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)


:<math>Z_c = \frac{p_cv_c}{RT_c} = \frac{8}{27} </math>
:<math>Z_c = \frac{p_cv_c}{RT_c} =   0.296296  </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]].
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]].
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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):
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>a_c=0.470507  \frac{ R^2T_c^2}{p_c}</math>


:<math>b_c= Z_c \frac{RT_c}{4p_c}</math>
:<math>b_c=0.0740740  \frac{ RT_c}{p_c}</math>


==References==
==References==
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