A saturated liquid feed of 1000 kmol/h consists of 40 mol% benzene, 45 mol% toluene and 15 mol% cumene. A distillate recovery of 97 mol% benzene and bottoms recovery of 98 mol% toluene is desired. The...

A saturated liquid feed of 1000 kmol/h consists of 40 mol% benzene, 45 mol% toluene and 15 mol% cumene.

A distillate recovery of 97 mol% benzene and bottoms recovery of 98 mol% toluene is desired.

The average relative volatility isαbenzene−toluene=2.25;" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">αbenzene−toluene=2.25;αbenzene−toluene=2.25; αtoluene−toluene=1.00;" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">αtoluene−toluene=1.00;αtoluene−toluene=1.00;andαcumene−toluene=0.21" role="presentation" style="display: inline; line-height: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">αcumene−toluene=0.21αcumene−toluene=0.21

Constant molar overflow (CMO) is valid. Reflux is returned as a saturated liquid. The column has a partial reboiler and a total condenser.

Calculate the total vapour flow rate in the enriching section at minimum reflux (Vmin) in kmol/h

You must state the answer in 2 decimal places.

Additional Information:

D = 397 kmol/h

ϕ = 1.4234 [Trial and Error]