Question

year mark worth 30% of your Question 1 Consider a continuous stirred tank reactor system as shown below: Reactant CAi F T Coolant F, T Coolant F Tai Product CA, F, T CSTR with cooling jacket A simple exothermic reaction A B takes place in the reactor. The reactor is cooled by a coolant that flows through the jacket around the reactor. The operational objectives Of the system are: to maintain the effluent concentration at the desired value, CAs to maintain the effluent temperature at the desired value, Ts to maintain the volume of the liquid in the reactor at the desired value Vs Use the principles you have learnt to devise the model(s) for this process. Identify all the required parameters as per the four steps of modelling principles. [25 marks] 15

Answer 1

Answen:- Reacton >Fco, Tco VVolume of Reactox Fei Tci A B KCA Rate 0f Rx A Mateswal or mole Balance rReacton:- (For Component Na accumulation NA Consumet Na;- Nao NA-Num ber of moles of A ir Reactor NA accumalation - at any time t dwA Na Consured NAD NAi - t k CA NAConsusecl V- Volume of Reachn CATs Some asoutlet Conc o CSTR NA CAF NAO CA V NA

2 vdeA af Steady 5tate d CAS CAsf-kCns (2) CAi Fi in tenms of deviatios (2) out of Cbr ge ffing Sub tnacing Vasuable dc'A V CFi C'A kc' t3) Deviateol va suable CAi'S Sleady State value 0f inlet Cone chansed Value of inlet Cone Jeady State Value CA AS Value after change Inlel Cone CA; from Cais to CAi

Heat Balance Acsoss Reactosr Heat accumalateol (on Heatoul + Heat genenaded Heat in- Beyd esnral Energy change= v (-A)e T-T) Fe C)= AHU d't where CpSpeciic Heat mol k し= NloCgT C- Conc d To tal tone. is to Constaut AHU kCA t Cpete Tic) p C Fo To Gp Efi T dt KAH CA cep CVep Mend Hemp ア→ is fo KAH CA 上(1;-1) Wんte an cu cp 213

by Coutent Heat taken kAH CA L(7;-T) dt Cep 7 Vary 6 me) Fo. duap teady date We Can Paicdhing laeu with vanying are Vaxying (molk prochuced Reaction is To maintain volume of Reactor:- dvCA Caf-kCA CAi f - values change Assuning No dv CA kCA CAF- CA; Fi dt dv dt CA Fi-F-x CA dus CAi fis dt CA )-1F-F) CAi fis CA f CAi [fi') d v dt CA

V- Us Ffi-fis - cleuation Vasuiables like you changed inlet Flow All ae by the n fi loy loy