Table 2: Results of LLE parameter identification in selected ternary and quaternary systems using FPA and MFPA and closure equations with different parameter elimination.

RMSD for NRTL model RMSD for UNIQUAC model
Thermodynamic system Parameter Elimination FPA-C MFPA-C FPA-C MFPA-C
water + levulinic acid + dimethyl succinate A12 0.0087 0.0021 0.0065 0.0018
A21 0.0098 0.0013 0.0072 0.0028
A13 0.0086 0.0035 0.0068 0.0016
A31 0.0094 0.0018 0.0078 0.0011
A23 0.0092 0.0017 0.0069 0.0026
A32 0.0084 0.0023 0.0085 0.0036
water + levulinicacid + glutarate A12 0.0092 0.0018 0.0070 0.0025
A21 0.0082 0.0021 0.0052 0.0013
A13 0.0078 0.0040 0.0061 0.0013
A31 0.0075 0.0032 0.0054 0.0018
A23 0.0073 0.0015 0.0047 0.0026
A32 0.0083 0.0020 0.0045 0.0035
palm oil + palmitic acid + (ethanol 93.9% + water 6.10%) 3 parameters Aij 0.0092a 0.0078b 0.0088c 0.0032d
limonene + carvone + (ethanol 76.36% + water 23.64%) 3 parameters Aij 0.0072e 0.0037f 0.0081g 0.0041h

aThe best eliminated parameters are: A12, A31, A32;
bThe best eliminated parameters are: A12, A14, A23;
cThe best eliminated parameters are: A13, A34, A41;
dThe best eliminated parameters are: A23, A24, A34;
eThe best eliminated parameters are: A24, A31, A34;
fThe best eliminated parameters are: A23, A34, A41;
gThe best eliminated parameters are: A21, A32, A41;
hThe best eliminated parameters are: A13, A14, A43.

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