Transcription of CHAPTER 6:The Energy Balance for Chemical Reactors
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CHAPTER 6:The Energy Balance for Chemical Reactors Copyright 2022 by Nob Hill Publishing, LLC. To specify the rates of reactions in a nonisothermal reactor, we require a model to determine the temperature of the reactor, for the reaction k1. A + B . C. k 1. r = k1 (T ) cA cB k 1 (T ) cC. The temperature is determined by the Energy Balance for the reactor. We derive the Energy Balance by considering an arbitrary reactor volume element, shown in Figure 1 / 149. General Energy Balance Q W . V. m1. m0. E 1. E 0. cj1. cj0. The statement of conservation of Energy for this system takes the form, . rate of Energy rate of Energy . rate of Energy = entering system leaving system accumulation . by inflow by outflow . rate of heat rate of work + + (1). added to system done on system 2 / 149. Work Term In terms of the defined variables, we can write Equation as, dE. = m0 E 0 m1 E 1 + Q + W ( ). dt in which the hat indicates an Energy per unit mass.
The material balance is d (c A V R) dt = R A V R Substituting in the reaction-rate expression, r = k (T )c A, and using the number of moles of A, n A = c A V R yields dn A dt = k (T )n A (6.20) Notice the temperature dependence of k (T ) prevents us from solving this di erential equation immediately. We must solve it simultaneously with the ...
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