Widom line prediction by the Soave-Redlich-Kwong and Peng-Robinson equations of state

Using cubic equations of state for a single-component fluid, we compute pseudocritical loci where the isobaric heat capacity is a relative maximum at constant pressure, or at constant temperature. These two loci, called the Widom line and the characteristic isobaric inflection curve (CIIC), are quite different from each other, as we show using the van der Waals equation, based on which the two loci admit a closed-form representation in the (P, T) plane. Similarly, the Redlichâ Kwong (RK) equation leads to a closed-form representation for the CIIC in the (T,v) plane. With the Soaveâ Redlichâ Kwong (SRK) and the Pengâ Robinson (PR) equations we find almost coincident predictions for the above-mentioned pseudocritical loci; furthermore, comparing our results with a correlation obtained by regression of experimental data for CO2and water shows that the increased complexity of the SRK and PR equations (as compared to RK) allows improved agreement with the experimental data.