A solution of carbon tetrachloride and carbon disulfide containing \(50 \mathrm{wt} \%\) each is to be continuously fractionated at standard atmospheric pressure at the rate of \(5000 \mathrm{~kg} / \mathrm{h}\). The distillate product is to contain \(95 \mathrm{wt} \%\) carbon disulfide, the residue \(2.5 \mathrm{wt} \%\). The feed will be \(30 \mathrm{~mol} \%\) vaporized before it enters the tower. A total condenser will be used, and reflux will be returned at the bubble point. VLE data at \(1 \mathrm{~atm}\) (Treybal, 1980), \(x, y^{*}=\mathrm{mol}\) fraction of \(\mathrm{CS}_{2}\), are as follows:

(a) Determine the product rates, in \(\mathrm{kg} / \mathrm{h}\).

(b) Determine the minimum number of theoretical stages required.

(c) Determine the minimum reflux ratio.

(d) Determine the number of theoretical trays required, and the location of the feed tray, at a reflux ratio equal to 1.5 the minimum.

(e) Estimate the overall tray efficiency of a sieve-tray tower of "conventional design" and the number of real trays. The viscosity of liquid \(\mathrm{CCl}_{4}\) and liquid \(\mathrm{CS}_{2}\) as functions of temperature are given by equation (6-42) with:

Data From Equation 6-42:-

Transcribed Image Text:

T, K X y* T, K X y* 349.7 0.0 0.0 332.3 0.391 0.634 347.9 0.030 0.082 328.3 0.532 0.747 346.1 0.062 0.156 325.3 0.663 0.829 343.3 0.111 0.266 323.4 0.757 0.878 341.6 0.144 0.333 321.5 0.860 0.932 336.8 0.259 0.495 319.3 1.000 1.000