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unsw ceic3000 tutorial w2 process modeling and analysis

# unsw ceic3000 tutorial w2 process modeling and analysis -...

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School of Chemical Engineering CEIC3000 Process Modelling and Analysis Tutorial 2 1. Consider a perfectly mixed stirred-tank heater, with a single feed stream and a single product stream, as shown in Figure 1. Assume that the ﬂowrate ( F i ) and temperature of the inlet stream ( T i ) can vary, the tank is perfectly insulated, and the rate of heat added per unit time ( Q ) can vary. Develop a model from which you can find how would F i , T i and Q affect the tank temperature as a function of time. State your assumptions . Figure 1: Stirred tank heater 2. Consider the following set of series and parallel reactions A k 1 B k 2 C (1) A + A k 3 D (2) Material balances on components A and B yield the following two equations

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Unformatted text preview: dc A dt = F V ( c Af-c A )-k 1 c A-k 3 c 2 A (3) dc B dt =-F V c B + k 1 c A-k 2 c B (4) where k 1 = 5 6 min-1 k 2 = 5 3 min-1 , k 3 = 1 6 liters mol min , c Af = 10 mol liter . (a) Assume the steady-state value of c A is c As = 3 mol liter . Find the steady-state dilution rate ( F/V ) and concentration of B (show all units). 1 (b) Linearize the model given in Equations (3) and (4) and put in the state-space form: ˙x = Ax + Bu (5) y = Cx , (6) (i.e., to ﬁnd the numerical values of the A , B and C matrices), assuming that the input variable is dilution rate ( F/V ), and the output variable is c B . 2...
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