Question

Question 4 125 marks An irreversible, second-order liquid-phase reaction shown below is carried out in an ideal PFR AR The inlet concentration of A, CA is 3000 mol.m and the volumetric flow rate is 1.5 m.h at the feed temperature of 175°C. At the isothermal operation at 175°C, the fractional conversion of A in the reactor effluent is expectedly 0.90. The reactor is made of a single tube with an inside diameter of 25 mm. Assuming that the physical properties of the liquid in the reactor are the same as those of water at room temperature, i) Calculate the length of the pipe reactor required to obtain 0.90 conversions. Calculate the rate of heat removal from the reactor to maintain the isothermicity at 175"C (i) Other information Reaction rate constant: 1.70 x 10 mmols Heat of reaction 165 kJ.mol Formulae: R k 3,D, -RA) M= D&CA tanh dX FO 7(-) dW L2(-TA) Mw D&CAB Mw n2 PV = nRT

Reactions engineering. Use the equation given for concentration. Please help with steps and explanation for my understanding. Will upvote if helpful

Answer 1

See the attachment below

D Ideal PER irreversible second order! second order 0 liquid phone ALAR (-A) = KG # Now as it is a constant volume the or=0 for the reaction VIAI - Vlanco - CA = Reactor & =o. #st is an iso thermal operation tex k cove eva, А. CA = CAO [ 14 ] but P = Po (No preuvre change constant v sceners) also EA =0 anisothermal & CA = which was also CAO [I-XA ] - I cleared by liquid phare statment Design Eqh for the PFR XA s dxA USJ

Now Volume = (Area of cross section) & (length of PFP) v =A*l & FA = CA x Vo = molt a hos A x I eXA don CAOXV. 2 I KLAS (I-XA) 2 Kro A e a fan = [ at KCAJA O d&A (1-X -to 12 K CAOA I XA KCAOA 1-XA Criven Lo Ans (1) XA=o.go substituting call the valus CAO = 3o0omol 10.90 I 1-5 (i-v.G0/(1-70x10 4x 60 x 3000 x Vo = 4.5 m 4.90625x107) internal diameter = d= 25 mm= 0.025m 0 = 899.2131ml - A = Id² = I x (0.025) ². A = 4, 90 625 8 10 4 K=1.70 x 10-4 m molls K=1.70 x 60 x 104 m² to moltho) (17) To maintain isothermicity at 115°C all the Heat genereted of the reaction because of its Exothermic nature should be removed by Good cooling arrangement.. freubeled = Ogenerated =Vxo Houx (males of keyl Component becozol reneted reaction o wol Hon CAUXA. "You can understand it by - Ogenereted I ky m ) e mol x CAOXA writing units cet each team

Hope this Helps,Keep Learning.

Gremoved = L Hoxn CAO XAV - ДНухи Сао Хо н. е) = 465) (3000) (0.9) (4.90x17"* 899.2131) a (m2 m) mol KJ mol Grunvel = 196, 293.72 37 KJ) Lans-