Question

3. You have been assigned the task of completing the chemical reaction engineering part of the design for a reactor capable of producing 3000 kg per week of tert-butanol from the hydrolysis of tert-butyl bromide. The reaction proceeds via an Sn1 mechanism and has k 1.13 x 10-2 min-1 at the intended reaction temperature. For operational reasons, the process will need to accept a feed of 40.1 g/L of tert-butyl bromide and 440 g/L of water dissolved in acetone. A conversion of at least 0.80 must be achieved. A 3KL CSTR is already available for this process and your technical director wants to use this reactor in conjunction with a new tubular reactor. Write a short report (200 words, typed) to your technical director outlining the appropriate design for this process and include your calculations as an appendix to this report (hand-written calculations and hand-drawn diagrams are acceptable in the appendix).

Answer 1

6 74 Molwt o Test-Butanol (TB) = CHO Mol- wt of Test-Butyl Bromide (Br) = C4th Br=136 mot at of Acetone EgH60 ) = 56 production of TB = 3000kg/week 17.86 18/ hr 3000+1000 7* 24 17.86 74 0.241 kmolho = 241 mollhor Consider the hydrolysis of t-butyl bromide in Acetone je Cathy Br+ the Ho+ ABY I mot of TB will be required to form I mol of TB 241 mol of TBY → 241 mol of TB ( conversion 301.25 mol 241 0.8 i 80% TBM required 40. 18 gleit Feed TBr = 40.16 136 0.294 moyect

301-25 0.294 Actual flow rate of feed (F) = 102169 litr Actual flow tecutart = (v.) = 1021.69 ert/hr Given CSTR volume (v) = 3KL = 3000 kit rate constant (K) = 1.13 * 10 min! ie finst obden kinetics in we know that for first older han KA I-TA 0.0113 T = 7 = 353.98 min 353-98 3000 = 8.475 lit/ 353-98 this eithhr white CSTR can handle flow 508.5 lisho for so%. Conversion 0-8 1-0.8 V Vo -> V = 508.5 lit

Hence Tubular reactor flow 1021.69-508-5 = 513 19 lith For PFR first orden kineties KT = - In (1-xA) 0.013 T = – In (0.2) T = 123.8 min V vo = 123.8 min = 2.06hr =/v- = 123.8+519.19 = 1058.9 lit 60 Hence 1058.9 lit PFR is required in parallel with 3000 lit CSTR to acheine 80°), Conversion of TBM.
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