a. We are distilling methanol and water in a column packed with 1-in. ceramic Berl saddles. The bottoms composition is \(0.01 \mathrm{~mol} \%\) methanol. A total reboiler is used. The column operates at \(1.0 \mathrm{~atm}\) pressure. The feed to the column is a saturated liquid at 1000.0 \(\mathrm{kmol} /\) day and is \(40.0 \mathrm{~mol} \%\) methanol. \(\mathrm{L} / \mathrm{D}=2.0\). The distillate product is \(99.8 \mathrm{~mol} \%\) methanol. If we will operate at a vapor flow rate that is \(80 \%\) of flooding, calculate the diameter based on conditions at the bottom of the column. Data are available in Tables 2-8 and 10-4. Vapor is an ideal gas. Viscosity of water at \(100.0^{\circ} \mathrm{C}\) is \(0.26 \mathrm{cP}\).

Suppose we wanted to use 1 -in. plastic Intalox saddles. What diameter is required?

Part b can be done in one line once part a is finished.

Table 2-8

Table 10-4

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0 TABLE 2-8. Vapor-liquid equilibrium data for methanol water (p = 1 atm) (mol %) Methanol Liquid 0 Methanol Vapor Temp., C 100 2.0 13.4 96.4 4.0 23.0 93.5 6.0 30.4 91.2 8.0 36.5 89.3 10.0 41.8 87.7 15.0 51.7 84.4 20.0 57.9 81.7 30.0 66.5 78.0 40.0 72.9 75.3 50.0 77.9 73.1 60.0 82.5 71.2 70.0 87.0 69.3 80.0 91.5 67.6 90.0 95.8 66.0 95.0 97.9 65.0 100.0 100.0 64.5