Alcohol dehydrogenase (ADH) is an enzyme that occurs in many organisms and facilitates the interconversion between alcohols and aldehydes or ketones with the reduction of nicotinamide adenine dinucleotide \(\left(\mathrm{NAD}^{+}\right)\)to NADH. In humans and many other animals, it serves to break down alcohols that otherwise are toxic. Consider the partitioning of ADH in the PEG 8000/dextran T-500/water ATPE system at \(4{ }^{\circ} \mathrm{C}\). One tie line for this system-in terms of wt\% for PEG, dextran, and water-shows a top-phase composition of 7.1, 0.9, and 92.0, with a bottom-phase composition of 1.1, 13.9, and 85.0. Calculate the partition coefficient for ADH under these conditions using information from Table 7.6.

Data From Table 7.6:-

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Table 7.6 Parameters of Equation (7-63) for Proteins Partitioning in the PGE 8000/Dextran T-500/Water ATPES Protein Lipase Cytochrome c Ribonuclease Molecular weight A* b* 6669 18.1 -217.0 12,400 -17.7 -47.9 12,600 -6.7 -25.3 Lysozyme Myoglobin 13,900 -16.1 31.3 16,900 -7.6 -78.0 Trypsin 23,200 -4.8 -14.8 Rhodanese 37,570 8.0 -178.0 Ovalbumin 44,000 8.7 -74.5 -Amylase 45,000 -20.8 -10.0 Protease 48,410 5.5 -37.3 Bovine Serum Albumin (BSA) 67,500 2.4 -183.0 Transferrin 77,000 1.1 -186.0 Conalbumin 86,810 -12.0 -122.0 Hexokinase 102,000 11.9 -194.0 Alc. Dehydrogenase 145,000 5.8 -147.0 Invertase 270,000 17.3 -387.0 Thyroglobulin (Tg) 669,000 81.2 -753.0 Source: Diamond and Hsu (1990).