Repeat Problem 10.D9, part a only, except at (1.50 mathrm{~atm}). The Antoine equation constants to determine the

Question:

Repeat Problem 10.D9, part a only, except at \(1.50 \mathrm{~atm}\). The Antoine equation constants to determine the vapor pressure of methanol are in Table 2-3. Other physical properties are in Problem 10.D9. VLE data are in Table 2-8.

Problem 10.D9

\(1000.0 \mathrm{kmol} / \mathrm{h}\) of a saturated vapor feed that is \(60.0 \mathrm{~mol} \%\) methanol and \(40.0 \mathrm{~mol} \%\) water is distilled in a sieve plate column operating at \(75 \%\) of flooding velocity. Distillate is \(99.9 \mathrm{~mol} \%\) methanol, and bottoms is \(1.0 \mathrm{~mol} \%\) methanol. \(\mathrm{L} / \mathrm{V}=0.6\) and \(\mathrm{p}=1.0 \mathrm{~atm}\). Use a \(0.4572-\mathrm{m}\) tray spacing and \(\eta=0.90\). Density of pure liquid methanol is \(0.7914 \mathrm{~g} / \mathrm{ml}\). Data are available in Table 2-8 and Table 2-3. Assume an ideal gas. The surface tension of pure methanol can be estimated as \(\sigma=\) \(24.0-0.0773 \mathrm{~T}\) with \(\mathrm{T}\) in \({ }^{\circ} \mathrm{C}\) (Dean, 1985, p. 10-110).

a. Calculate the diameter based on the conditions at the top of the column.

b. Calculate \((\mathrm{L} / \mathrm{D})_{\min }\) and multiplier \(\mathrm{M}=(\mathrm{L} / \mathrm{D}) /(\mathrm{L} / \mathrm{D})_{\min }\).

Table 2-3

image text in transcribed