The liquid-phase reaction
A + B→C
follows an elementary rate law and takes place in a 1-m3 CSTR, to which tin’ volumetric flow rate is 0.5 m3/min and the entering concentration of A is 1 M- When the reaction takes place isothermally at 300 K with an equimolar feed of A and B, the conversion is 20%. When the reaction is carried out adiabatically, the exit temperature is 350 K and the conversion is 40%. The heat capaci ties of A, B, and C are 25, 35, and 60 J/mol • K, respectively. It is proposed
to add a second reactor of the same size downstream in series with the first CSTR. There is a heat exchanger attached to the second CSTR with UA = 4.0 kJ/min • K, and the coolant fluid enters and exits this reactor at virtually the same temperature of 350 K.
(a) What is the rate of heat removal necessary for isothermal operation?
(b) What is the conversion exiting the second reactor?
(c) What would be the conversion if the second CSTR were replaced with a 1-m3 PFR with Ua= 10 kJ/m3 • min • K and Ta = 300 K?
(c) A chemist suggests that at temperatures above 380 K the reverse reaction cannot be neglected. From thermodynamics, we know that at 350 K, Kc = 2 dm3/mol. What conversion can be achieved if the entering temperature to the PFR in part (c) is 350 K?
(e) Write an in-depth question that extends this problem and involves critical thinking, and explain why it involves critical thinking.
(f) Repeat part (c) assuming the reaction takes place entirely in the gas phase (same constants for reaction) with CTO = 0.2 mol/dm3.
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