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Unformatted text preview: ChE 101 2012 Problem Set 8 Read Schmidt Chapter 6 1. The inclusion of temperature effects in chemical reactor models makes the mass and energy balances intractable to solve analytically, since reaction rates depend on temperature in a highly nonlinear fashion. Nevertheless, we would like to gain some general intuition regarding the dynamics of non-isothermal reactors, and this is not possible by simply plugging in a specific set of reactor parameters into ode45. As we have seen in ChE 103, much of this intuition can be obtained simply by nondimensionalizing the governing differential equations and identifying the relevant dimensionless groups. (a) Write down the mass and energy balances for the first order reaction of A to form B in a steady state, non-isothermal PFR with coolant temperature T c 6 = T , and nondi- mensionalize both equations. Hint: There are many possible ways to get the ODEs in dimensionless form, but as you know from 103, some are better than others from a physical perspective. Choose dimensionless variables that range from 0 to 1 so that the solution will be of order unity and easily interpretable.solution will be of order unity and easily interpretable....
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This note was uploaded on 03/21/2012 for the course CHE 101 taught by Professor Arnold during the Winter '11 term at Caltech.
- Winter '11