The cubic equations of state (EoS), such as Peng-Robinson (PR) [
41], Redlich-Kwong (RK) [
42], and Soave Redlich-Kwong (SRK) [
43], are the most preferred models in liquefaction process simulation [
44,
45]. The cubic EoS cannot properly describe the liquid properties in most cases [
41], especially for the mixtures. As a result, large discrepancies between computational results and experimental data may be introduced by these inaccuracies [
46,
47]. However, the prediction accuracy can be improved by experimental measurement of thermophysical properties, such as vapor-liquid equilibrium (VLE), vapor and liquid densities, and specific heat. Since for PR EoS, only one adjusting parameter (i.e., binary interaction parameter) is required to describe the thermophysical properties of the mixtures, which can be determined by regressing the experimental data [
41,
48–
50]. As shown in Fig. 9, a series of apparatuses are established, including several VLE devices aimed at different temperature zones [
48–
50], one
pvT measurement apparatus [
51] based on Archimedes’ principle of buoyancy, and one adiabatic batch calorimeter [
52] for constant-volume specific heat. The accurate experimental data were used for the development of correlation and predictive thermodynamic models. For example, for the R14-based mixtures (R14+ R50, R14+ R170, R14+ R290), the estimated VLE (dashed line in Fig. 10) by setting binary interaction parameters
kij = 0 by default presents a big deviation from the correlated VLE by experimental data, as shown in Fig. 10. This inaccuracy will definitely affect the simulation of the MRC system, and eventually lead to a large deviation between the design and actual construction. Therefore, the VLE, vapor and liquid densities, and isochoric specific heat data for more than 30 mixtures were measured, and the equation of state for simulation of MRC system was established [
48–
50]. This makes the simulations more convincing, compared to other simulations/works supported with no experimental data. At last, the mixture consisting of N
2, CH
4, CF
4 (or C
2H
4), C
2H
4, C
2H
6, C
3H
8, and iC
4H
10 is selected for the MRC system.