A distillation column with a partial reboiler and a total condenser is being used to separate \(1000.0 \mathrm{kmol} / \mathrm{h}\) of a saturated liquid feed that is \(40.0 \mathrm{~mol} \%\) benzene, \(30.0 \mathrm{~mol} \%\) toluene, and \(30.0 \mathrm{~mol} \%\) cumene. Reflux is a saturated liquid, and \(\mathrm{L} / \mathrm{D}=2.0\). Recover \(95.0 \%\) of cumene in bottoms and \(95.0 \%\) of toluene in distillate. Pressure is at \(1 \mathrm{~atm}\). Assume constant relative volatilities, \(\alpha_{\mathrm{BT}}=2.25, \alpha_{\mathrm{TT}}=1.0\), and \(\alpha_{\mathrm{CT}}=0.21\). Find the optimum feed stage and the total number of equilibrium contacts required. Use Eq. (5-26) or (5-28) (in Problem 5.C1) for equilibrium.

Equation (5-26)

Equation (5-28)

Problem 5.C1)

Transcribed Image Text:

Yij= (xij-ref)/ (xij i-ref)