Consider the data set in Table 12-1 for the methanol (1) + dimethyl carbonate (2) system at two different temperatures: 337.35 K and 428.15 K.

Develop a modeling approach that can properly characterize the experimental data.  

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TABLE 12-1 Experimental data for the methanol (1) + dimethyl carbonate (2) system at 337.35 K and 428.15 K. T = 337.35 K Y₁ 0 0.0069 0.0955 0.1999 0.3033 0.3974 0.4993 0.5986 0.6982 0.7999 0.8500 0.9001 0.9502 1 0.0230 0.3241 0.5072 0.6168 0.6857 0.7406 0.7823 0.8161 0.8431 0.8517 0.8851 0.9373 1 P (kPa) 41.02 42.11 55.19 68.23 78.79 86.55 93.16 97.96 101.23 102.91 103.05 102.67 101.71 99.91 0 0.0062 0.0930 0.1838 0.2758 0.3757 0.4759 0.5716 0.6855 0.7935 0.9001 0.9426 1 T = 428.15 K Y₁ 0 0.0189 0.2609 0.4327 0.5509 0.6432 0.7145 0.7705 0.8267 0.8735 0.9201 0.9456 1 P (kPa) 566.47 576.56 719.04 862.38 996.22 1127.59 1245.56 1345.49 1445.39 1515.80 1556.04 1563.29 1565.62