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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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- Thermodynamics, International System of Units, Stirred tank heater, steady-state dilution rate