Exothermic Reaction

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Graavfsna

Engineering

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Exothermic Reaction

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Problem 3. Exothermic Reaction Consider an exothermic oxidation of CO on the surface of a non-porous Pd particle. Assume that this reaction is very fast, and that the heat transfer within the particle is very fast. tchar a) Write down the time-dependent energy balance for the catalyst particle. Let the heat transfer coefficient be h, the mass transfer coefficient be hm, the bulk Co concentration be Co. Clearly define any other quantities that you might need. b) Non-dimensionalize the energy balance from part (a), by defining the dimensionless temperature as e = Tsurp-Tour and a dimensionless time, 1 = Tulk There are two characteristic time-scales inherent to the problem that could be used to define tehar; one has to do with the time-scale for heat transport and the other with the time-scale for mass transport. Since we are interested in the rate of change of Tsurf, use the heat transfer coefficient to define the characteristic time. That should leave one dimensionless group; let's call it B. c) In one sentence, what is the significance of B? What is the significance of the characteristic time? d) Solve the differential equation that you derived in part (b), with an appropriate initial condition to get and 1. At steady state, show that your solution is the same as what we derived in class. e) A reactor filled is filled with these catalyst particles with Tsurs = Tbulk = 298K. At t = 0, the bulk CO concentration is increased from 0 to Co. i. For tchar = 1 s, plot Tsury vs. time for B = 0.1 and 0.3. ii. For B = 0.1, plot , Tsurf vs. time for tchar = 1 s and 10 s.
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