Question

4) Consider the following irreversible elementary gas phase reaction is carried out in a PBR: A+B+20 [k = 1 (dm3/kg)2.s] The feed is equal molar in A and B with Fao=100 mol/s and Cao = 1 mol/dm3. Given that pressure drop parameter of the packing a = 0.0096 kg 1, and that pressure at the entrance is 10 atm. a) Set up the stoichiometric table. b) Derive correlations to quantify concentrations of each species in the process based on results in (a) and quantify at a total conversion of 75% c) Derive the design equation for the PBR as a function of a, X, W. d) Calculate pressure drop through packing (Ap). e) Calculate conversion would be achieved with total catalyst of 5000 kg. f) Calculate the conversion achieved using the same bed in (e) but in the absence of pressure drop. g) For turbulent flow, what would be the pressure drop if the cross-sectional area was increased by a factor of 2 and the particle size decreased by a factor of 10?

Answer 1

100 mells FBO = 100 malls Species Feed Effluent A Change B Foo C1-x) c -EBOX 2 FAOX 2 FAX X 0.75 Flow rate of A= FAO (1-x) = 100 (1-0.75). = 25 moles is Flow rak & B - FBO (1-x) = 100 C1-0-75) = 25 molesls Flow rate of T 2 FAX 2x BOX 0.25 = 150 molls YA KCA -YA - FAO dx الا و FAO dx dw KCA SACix) (1+Ex) P Po dw d = 2 Bo to Po Ac (1-0) Sc م ہے Po 품 FL FTO 2 (P/Po) To dw - (1+8 x) Et Fo

Page No. Data: dp dw Po (Pleo) (HEX) a = 0.0090 kg x=0.75 From eah 1 P d (Pipo) dw (- (+ x)) PO 2 w (-2 Citas ) PO 10 atm We get 7.7 is alm Pressure drope = P-Po 10- 7.71 = 2.28 atm