Using the gas equation of state: real (Redlich-Kwong):

In the program polymath (code from this program please) calculate the volume of one kilogram of the given substance properties under certain temperature conditions and pressure. Compare the obtained results with the experimental values for gas and liquid phase (Vg and Vc).

Solution (RK):

(p+n2V(V+nb)Ta)(Vnb)=nRT \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline T [K] & p [MPa] & Tk [K] & pk [MPa] & Tb [K] & M [g/mol] & Vg [dm3/kg] & Vc [dm/kg] \\ \hline 344 & 3,24964 & 355,31 & 4,0645 & 227,53 & 111,600 & 4,0999 & 1,1051 \\ \hline \end{tabular} modelClapeyronvdWRKRKSPRVc[dm3/kg]1.4695971.3719031.222461Vc[dm3/kg]0.3644970.2668030.117361Vc[%]32.9824.1410.62Vg[dm3/kg]7.8862224.878264.4102914.2742944.057229Vg[dm3/kg]3.7863220.778360.3103910.1743940.042671Vg[%]92.3518.987.574.251.04