Question

5.33. When B is mixed with A, the liquid phase reaction A+BC rkCA has a rate constant k 0.2 min. This reaction is to be carried out isothermally in a CSTR at steady state. The reactant A costs $2/mol and reactant B costs $0.10/mol. The product C sells for $6/mol. The cost of operating the reactor is $0.05 per liter per hour. We wish to produce 360,000 moles of C per day to meet the market demands The available reactants, A and B, are from different sources: The solution for A has a concentration of 1 mol L, and the solution for B has a concentration of 4 mol L. As- sume no cost or value to dispose of unreacted A and B (a) What is the overall feed stream concentration of A if a stoichiometric feed is chosen? Is this the best choice and why? 252 S. IDEAL FLOW REACTORS (b) Perform a mole balance on the reactor to relate the conversion of A with the reactor size. (c) Express the profit per mole of A feed to the reactor as a function of the conversion (d) What is the optimum conversion of A (for a stoichiometric feed) and what is the corresponding reactor size?

Answer 1

Solution: me Given data- nuove Il This Reaction At B C S Reaction is to be carried out theranally in a CSTR at Steady State. The Reactant A costs 52/mole and react B costs $0-10/mole. The cost of opearting the reactor is $0.05 leter per haver (a) if he wish to produce 360,000 mole of'c per day, he need 360,000 moles of A day. as on mole of A Reacts with one mole of B to form one male C. as the source of a mole. So, it is Required = 360x103 litres of a per day This is the lest choice A may act as imiting Reactant becouse of its low centration in the same volume, relatine to B.

(b) for a CSTR for a CSTR in steady State Vx XA O FAO NA Era = KCA) => x -Ya) = a fo W CKCA) =YA FAO | 1 ( Cao)- (yo Cao) Have fun - Vũ Cao VK/= XA VO CÃO k=0.2 mint 0-2V=XA VO> By using male balonce, At B No of males Required tof Realt 360x103 males 360 x103 C Required 360x10² mol govor umoles 360x103 moles (gine, in know h. requined a no. of males Requined conc of solution in malé 360x 103 males motell = 360x10L

There e force Rate = force, we require a flow 360 x 10%+90x103) L Vo=450x103 L/day Vo=5.214/sec = 12.5L/min from @ and > 0.2V= 312.54A V=1562.5XA How rate moles of of a po feedint rate of A Required = 360x103 U/day s of tead into Reactor 360x18 moles Cost of A fed into reactor=720 x10 $ ofta 41, he will require a larger no. of moles and a larger volumetrie flow rate of Aldoy flow rate of A Required at XA (1 = 360x10 dan moles of A fed into Reacto) - 360 Xoʻmiles dues cost of a bed into Reactor . 720x103 the ****0% day Total profit = Gelling cost of 360x10² males of c-cost of a cost of B - Cost at opeartion Assuming a s the limiting Reactant

X oon J. Daw 26-06-2010 Socks Tonod Shox Son and exactly 90x103 L/day of 360 x103 moles of B React to form 300x183 mole of A ... cost of A = 720 X 103 & day . Cost of B = 90x1080.10x4 8 (day = 36x103/day cost of operation -0-05 Henr = 1-2 5/day cax af = 1-2 $11day - 540x18% $ (doy – Selling price profit = 360x10²x6 & day 52160x10? $ day 30% 10 XA - 2160 x103 - 540 X 103-36x103-720X10 WOO vwo 30 GUG 242 స్రావు, ఆలయశిల్పి ఆనందసాయి తదితరులతో దేవాలయ నిషతకు, దైవ సంబంద అండ 5 InIMdaritala Ton www Am = 1584X103 - 720 x 102 $ o da. moles of a used 360 x 103 moles 1584 X10?– dao yote 360X103 > . moles of a (d) from @ | 02V - %. where, Vo=4508103 L/ day (at Conversion 1)

TMara - 312.5 L/min Va 18312.5.4 31562.54 0.2 e) from @ if x=1 profit = 1584x 102_920x109. 248/moles of A 360 x 103 where నరావు, ఆలయశిల్పి ఆనందసాయి తదితరులతో దేవాలయ నిగనక సె సneni llb C