Editing Redlich-Kwong equation of state
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A modification of the the Redlich-Kwong equation of state was presented by Giorgio Soave in order to allow better representation of non-spherical molecules<ref>[http://dx.doi.org/10.1016/0009-2509(72)80096-4 Giorgio Soave "Equilibrium constants from a modified Redlich-Kwong equation of state", Chemical Engineering Science '''27''' pp. 1197-1203 (1972)]</ref>. In order to do this, the square root temperature dependence was replaced with a temperature dependent [[Law of corresponding states#Acentric factor | acentric factor]] (<math>\omega</math>): | A modification of the the Redlich-Kwong equation of state was presented by Giorgio Soave in order to allow better representation of non-spherical molecules<ref>[http://dx.doi.org/10.1016/0009-2509(72)80096-4 Giorgio Soave "Equilibrium constants from a modified Redlich-Kwong equation of state", Chemical Engineering Science '''27''' pp. 1197-1203 (1972)]</ref>. In order to do this, the square root temperature dependence was replaced with a temperature dependent [[Law of corresponding states#Acentric factor | acentric factor]] (<math>\omega</math>): | ||
:<math>\alpha | :<math>\alpha=\left(1+\left(0.48508+1.55171\omega-0.15613\omega^2\right)\left(1-\sqrt\frac{T}{T_c}\right)\right)^2 </math> | ||
where <math>T_c</math> is the critical temperature. This leads to an equation of state of the form: | where <math>T_c</math> is the critical temperature. This leads to an equation of state of the form: | ||
:<math> \left[p+\frac{a\alpha | :<math> \left[p+\frac{a\alpha}{v(v+b)}\right]\left(v-b\right)=RT</math> | ||
or equivalently: | or equivalently: | ||
:<math> p=\frac{RT}{v-b}-\frac{a\alpha | :<math> p=\frac{RT}{v-b}-\frac{a\alpha}{v(v+b)}</math> | ||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: equations of state]] | [[category: equations of state]] |