Editing Twu-Sim-Tassone equation of state
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Twu, Sim and Tassone presented a cubic | 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]]. This allows it 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>. | ||
The equation follows the general cubic form resulting in the equation: | |||
The equation follows the general cubic form resulting in the equation | |||
:<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]]. 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: | |||
:<math> | :<math>a=\frac{0.427481R^2T_c^2}{P_c}</math> | ||
:<math>b=\frac{0.086641RT_c}{P_c}</math> | |||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: equations of state]] | [[category: equations of state]] |