Question

3. An irreversible reaction occurs in a jacketed, stirred reactor shown below. Feed CARI 9.7 Coolant out 4. T. Coolant in 9. Ta Jacketed reactor Product CA.C.C.T. Figure E2.9 Derive a dynamic model based on the following assumptions: a. The contents of the tank and cooling jacket are well mixed. The volumes of the mixing jacket and in the tank do not vary with time. b. The reaction rate is, c. The thermal capacitances of the tank and jacket are negligible compared to the contents and can be neglected. d. Constant physical properties and heat transfer coefficients can be assumed.

the reaction rate is : r = ke^ -E/RT (A) (mol A/L A)

Answer 1

Given Symboly one 9.9c, 9.9ci feed Cfi, CBi qi, Ti Coolantio > Coolantou guito quii Ta Jackered - produce Reacta 1 CACB, C..Tig. The material equation for the rant is given by 193-9-01 Csince vis constant) . Lety consider that ABtc Reaction from AAB Reaction and Btc Volem a PICA? –qca – kie1PC-JCA (A-batance] Vales - Picgi-966+ K, exp code] CA-KZ COP ( ceny ce [8.bou vace kz exp(- 62 ] CB {C. Balance] The material balance in the jacket is !!! 1961 – Ycool :: The volume is constant The Energy balance for the Jacket (trae copacity: Op and tank is Hear Inpee) - Heat output)+(Lieneration) Accumulation. from the above figure we have to substitute the input and Out value in above equation and weget.

= 9.17cp - 9874 + f(ni-cn] atliv +(CP-() Allsv+ qapciep-alicep=0 :: 9199 and 9 Ci=1c Vo constant substitute the qi and qc; and u unlug in above equalian and we get a pop (13-1) + {[cni-en] 441 +[C6;=<6] atuju +4lq Clcinj o ... The final Answiris 98cp[7:TJ¥(Chi-CA] A H1 + (CB-Ce] Are you +Hcpcp (Tci=1c]=9| * Please give 'RATE if helpful. Thank you *