Calculate the value of Maxwell-Stefan diffusivity for ethanol water at \(40^{\circ} \mathrm{C}\) for ethanol mole fractions of \(0.0,0.2,0.3,0.4,0.7\), and 1.0 . The Fickian diffusivities are available in Table 15-4. Which set of diffusivities are closer to linear?

Table 15-4

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TABLE 15-4. Fickian diffusivity of the system ethanol-water at 40C (all diffusivities 10-9 m/s). Mole fraction of ethanol is xE. The Cm values in kmol/m were added to the chart and are based on the liquid densities of ethanol-water mixtures. XE 0.000 0.024 0.100 0.144 0.200 0.300 0.400 0.500 0.600 0.700 0.800 0.900 1.000 DEW 1.700 1.510 1.000 0.780 0.680 0.610 0.640 0.730 0.865 1.060 1.275 1.475 1.640 Cm 55.08 52.53 45.88 42.66 39.05 33.79 29.68 26.42 23.78 21.58 19.74 18.16 16.78