Table S1 ANOVA for Response Surface Quadratic Model.

Source / PBAC / F400
df / SS / MS / F Value / Prob > F / SS / MS / F Value / Prob > F
Model / 14 / 7951.03 / 567.93 / 30.47 / < 0.0001 / 6459.25 / 461.38 / 48.66 / < 0.0001
X1 / 1 / 287.04 / 287.04 / 15.40 / 0.0014 / 368.93 / 368.93 / 38.91 / < 0.0001
X2 / 1 / 5046.3 / 5046.3 / 270.8 / < 0.0001 / 4063.6 / 4063.6 / 428.60 / < 0.0001
X3 / 1 / 39.94 / 39.94 / 2.14 / 0.1638 / 52.17 / 52.17 / 5.50 / 0.0332
X4 / 1 / 562.31 / 562.31 / 30.17 / < 0.0001 / 379.04 / 379.04 / 39.98 / < 0.0001
X1. X2 / 1 / 66.14 / 66.14 / 3.55 / 0.0791 / 201.08 / 201.08 / 21.21 / 0.0003
X1. X3 / 1 / 0.98 / 0.98 / 0.053 / 0.8216 / 24.20 / 24.20 / 2.55 / 0.1310
X1. X4 / 1 / 2.70 / 2.70 / 0.14 / 0.7089 / 0.34 / 0.34 / 0.036 / 0.8517
X2. X3 / 1 / 1.81 / 1.81 / 0.097 / 0.7594 / 20.30 / 20.30 / 2.14 / 0.1641
X2. X4 / 1 / 196.88 / 196.8 / 10.56 / 0.0054 / 96.96 / 96.96 / 10.23 / 0.0060
X3. X4 / 1 / 53.49 / 53.49 / 2.87 / 0.1109 / 49.26 / 49.26 / 5.20 / 0.0377
X12 / 1 / 192.39 / 192.39 / 10.32 / 0.0058 / 67.81 / 67.81 / 7.15 / 0.0173
X22 / 1 / 1597.03 / 1597.03 / 85.69 / < 0.0001 / 1166.36 / 1166.3 / 123.02 / < 0.0001
X32 / 1 / 19.84 / 19.84 / 1.06 / 0.3185 / 1.81 / 1.81 / 0.19 / 0.6680
X42 / 1 / 124.37 / 124.37 / 6.67 / 0.0208 / 61.42 / 61.42 / 6.48 / 0.0224
Residual / 15 / 279.55 / 18.64 / 142.22 / 9.48
Lack of Fit / 10 / 278.34 / 27.83 / 115.15 / < 0.0001 / 141.38 / 14.14 / 84.39 / < 0.0001
Pure Error / 5 / 1.21 / 0.24 / 0.84 / 0.17
Cor Total / 29 / 8230.58 / 6601.47
Std. Dev. / 4.32 / R2 / 0.9660 / Adj. R2 / 0.9243 / Std. Dev. / 3.08 / R2 / 0.9785
Adeq
Precision / 21.1 / Pred R2 / 0.8051 / C.V. % / 5.41 / Adj. R2 / 0.9483 / Adeq
Precision / 27.2
Pred R2 / 0.8765

SS: Sum of squares; MS: Mean squares; Prob: Probability values (P-values).

Table S2Nonlinear isotherm equation parameters.

Isotherm / Parameters / F400 / PBAC
20°C / 40°C / 60°C / 20°C / 40°C / 60°C
Langmuir / qm(mg∙g-1) / 6.8078 / 4.3181 / 4.4789 / 3.334 / 4.7419 / 4.4764
kL (L∙mg-1) / 0.2429 / 0.4747 / 0.9346 / 0.0994 / 0.2367 / 0.8221
R2 / 0.9927 / 0.9972 / 0.9878 / 0.973 / 0.9942 / 0.9964
AICc / 38.538 / 39.891 / 31.657 / 36.65 / 33.270 / 37.839
wi / 0.0377 / 0.00289 / 0.1169 / 0.0371 / 0.2707 / 0.0058
Freudlich / kF ( mg1−γ∙Lγ∙g-1) / 1.1504 / 1.4484 / 2.026 / 0.4841 / 1.0649 / 1.8958
nF / 0.9889 / 0.4311 / 0.4024 / 0.5138 / 0.5132 / 0.4184
R2 / 0.9984 / 0.9714 / 0.9787 / 0.9971 / 0.9925 / 0.972
AICc / 46.365 / 28.246 / 28.843 / 35.365 / 44.445 / 27.581
wi / 0.00075 / 0.9753 / 0.4774 / 0.0708 / 0.00101 / 0.9936
Temkin / bT (KJ∙mol-1) / 1.6058 / 4.9866 / 3.1601 / 3.6384 / 1.5786 / 2.8824
kT (mg∙L-1) / 2.2673 / 2.8086 / 12.913 / 1.2566 / 1.3817 / 8.5760
R2 / 0.9762 / 0.9937 / 0.9971 / 0.9598 / 0.9851 / 0.9986
AICc / 32.584 / 35.848 / 29.169 / 30.301 / 31.292 / 42.846
wi / 0.7415 / 0.02179 / 0.4056 / 0.8919 / 0.7281 / 0.00048
Khan / qm(mg∙g-1) / 0.5292 / 1.7153 / 2.0718 / 3.546 / 1.646 / 3.0372
kK (L∙mg-1) / 2.4773 / 1.7713 / 2.8697 / 0.0896 / 0.9190 / 1.3841
nK / 0.0788 / 0.7163 / 0.7564 / 1.0224 / 0.6428 / 0.8487
R2 / 0.9968 / 0.9926 / 0.9931 / 0.9721 / 0.9982 / 0.9985
AICc / 62.732 / 55.050 / 54.443 / 62.587 / 53.096 / 62.225
wi×10-8 / 21.1 / 148 / 132 / 8.7 / 1341 / 2.98
Koble-
Corrigan / qm(mg∙g-1) / 1.9439 / 4.5538 / 5.6593 / 3.0566 / 6.767 / 5.5449
kKC(L∙mg-1)n / 1.0033 / 0.4442 / 0.5976 / 0.1212 / 0.1714 / 0.5598
nKC / 1.4367 / 0.9285 / 0.7428 / 1.0002 / 0.7679 / 0.7556
R2 / 0.5013 / 0.9976 / 0.9957 / 0.9688 / 0.9991 / 0.9959
AICc / 35.016 / 60.826 / 56.843 / 65.522 / 52.547 / 57.291
wi×10-8 / 2.19×107 / 8.218 / 39.7 / 2.01 / 1762 / 3.51
Radke-
Prausnitz / a(mg∙g-1) / 1.2763 / 2.2984 / 6.8314 / 2.6869 / 1.7913 / 4.4185
kRPz (L∙mg-1)n / 15.710 / 3.6391 / 3.0953 / 1.6559 / 2.1758 / 3.675
nRPz / 0.3940 / 0.0718 / 0.1944 / 0.5438 / 0.2811 / 0.1036
R2 / 0.9972 / 0.9976 / 0.9939 / 0.9962 / 0.9979 / 0.9984
AICc / 63.403 / 60.760 / 55.088 / 61.736 / 50.716 / 61.924
wi×10-8 / 15.11 / 8.498 / 95.51 / 13.3 / 4413 / 3.46
Redlich-
Peterson / a (L∙g-1) / 1.4873 / 2.2961 / 5.6945 / 1.8529 / 1.7641 / 4.4179
kRPn (L∙mg-1)n / 0.2785 / 3.5959 / 1.6657 / 1.2598 / 0.7760 / 1.2020
nRPn / 0.1244 / 0.0794 / 0.8518 / 0.5682 / 0.7324 / 0.8964
R2 / 0.9983 / 0.9973 / 0.9977 / 0.9956 / 0.9985 / 0.9984
AICc / 65.819 / 60.760 / 54.621 / 63.503 / 62.336 / 61.922
wi×10-8 / 4.501 / 8.491 / 121 / 5.5 / 13.2 / 3.46