4.4. A stream consisting of 44.6 mole% benzene and 55.4% toluene is fed at a constant rate to a process unit that produces two product streams, one a vapor and the other a liquid. The vapor flow rate is initially zero and asymptotically approaches half of the molar flow rate of the feed stream. Throughout this entire period, no material accumulates in the unit. When the vapor flow rate has become constant, the liquid is analyzed and found to be 28.0 mole% benzene. (a) Sketch a plot of liquid and vapor flow rates versus time from startup to when the flow rates become constant. (b) Is this process batch or continuous? Is it transient or steady-state before the vapor flow rate reaches its asymptotic limit? What about after it becomes constant? (c) For a feed rate of 100 mol/min, draw and fully label a flowchart for the process after the vapor flow rate has reached its limiting value, and then use balances to calculate the molar flow rate of the liquid and the composition of the vapor in mole fractions.

Question
4.4. A stream consisting of 44.6 mole% benzene and 55.4% toluene is fed at a constant rate to a process unit
that produces two product streams, one a vapor and the other a liquid. The vapor flow rate is initially
zero and asymptotically approaches half of the molar flow rate of the feed stream. Throughout this
entire period, no material accumulates in the unit. When the vapor flow rate has become constant, the
liquid is analyzed and found to be 28.0 mole% benzene.
(a) Sketch a plot of liquid and vapor flow rates versus time from startup to when the flow rates become
constant.
(b) Is this process batch or continuous? Is it transient or steady-state before the vapor flow rate reaches
its asymptotic limit? What about after it becomes constant?
(c) For a feed rate of 100 mol/min, draw and fully label a flowchart for the process after the vapor flow
rate has reached its limiting value, and then use balances to calculate the molar flow rate of the
liquid and the composition of the vapor in mole fractions.

Image Transcription

4.4. A stream consisting of 44.6 mole% benzene and 55.4% toluene is fed at a constant rate to a process unit that produces two product streams, one a vapor and the other a liquid. The vapor flow rate is initially zero and asymptotically approaches half of the molar flow rate of the feed stream. Throughout this entire period, no material accumulates in the unit. When the vapor flow rate has become constant, the liquid is analyzed and found to be 28.0 mole% benzene. (a) Sketch a plot of liquid and vapor flow rates versus time from startup to when the flow rates become constant. (b) Is this process batch or continuous? Is it transient or steady-state before the vapor flow rate reaches its asymptotic limit? What about after it becomes constant? (c) For a feed rate of 100 mol/min, draw and fully label a flowchart for the process after the vapor flow rate has reached its limiting value, and then use balances to calculate the molar flow rate of the liquid and the composition of the vapor in mole fractions.

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