Question 10(a) please refer to the part that I circled in red . Is the solution

Question

Question 10(a) please refer to the part that I circled in red . Is the solution given wrong? I mean as in the substituted CA0 in the calculation. Shouldn't it be 2 instead of 1? Thank you! was carried out in a CSTR. For an entering concentration of 2 the conversion was 40%. For the same reactor volume and ent ditions as the CSTR, the expected PFR conversion is 48.6%, Houde the PFR conversion was, amazingly, 52.6% exactly. Brainstorm for the disparity. Quantitatively show how these conversions came (i.e., the expected conversion and the actual conversion). of 2 moldm (d) The gas-phase reaction A+B C + D is carried out in a packed-bed reactor. When the particle size was decreased by 15%, the conversion remained unchanged, when the parti- cle size was decreased by 20%, the conversion decreased, when the ong inal particle size was increased by 15%, the conversion also decreased. In all cases, the temperature, the total catalyst weight, and all other condi- tions remained unchanged. What's going on here? Applioation pS-10, The liquid-phase reaction The liquid-phase reaction P5-10s Pending for Problem Hall of Fame follows an elementary rate law and is carried out isothermally in a flow sys- tem. The concentrations of the A and B feed streams are 2 M before mixing. e flow rate of each stream is 4 dm'/min, and the entering is 300 K. The streams are mixed immediately before entering The volumetric flow rate of each st temperature Two reactors are availa reactors are available. One is a gray 200.0-dm2 CSTR that can be heated 77°C or cooled to 0C, and the other is a white 800.0-dm3 PFR operated at to 300 K that that k t cannot be heated or cooled but can be painted red or black. Note 0.07 dm)/mol . min at 300 K and E-25 k Which reactor and what conditions do you recommend? Explain the rea- son for your choice (e.g., color, c tions). Back up your (a) e.g. color, cost, space available, weather r reasoning with the appropriate calculations. (b) How long would it take to achieve 90% convers (c) What would your answer to part (b) be if the reactor ion in a 200-drms batch xinga 200-dm batch g at a temperature of 77°C? reactor with CAo- CBo1 M after mixin rt (b) be if the reactor were cooled to U'C [Ans. 5.7 days

Explanation / Answer

Ok

the ra = KCaCb Ca = Cao(1-X) now Cb = Cbo(1-X) as Ca = Cb =) Cb = Cao(1-X) because Ca and Cb have the same X because the rate law s say than it is of order one for Ca and Cb we can rewrrite

r = KCaCb = r = KCao(1-X)Cao(1-X) = KCao2(1-X)2 in the substituted we have than a 1dm3 = 1l   Cao we have than Cao = 2M/4l = 1M

a tips the order of reacction general is order 2 order 1 for Ca and order 1 for Cb when a K have unity of 1/mol or mol-1 ever the racction general will be of order 2

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