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Unformatted text preview: dc A dt = F V ( c Afc A )k 1 c Ak 3 c 2 A (3) dc B dt =F V c B + k 1 c Ak 2 c B (4) where k 1 = 5 6 min1 k 2 = 5 3 min1 , k 3 = 1 6 liters mol min , c Af = 10 mol liter . (a) Assume the steadystate value of c A is c As = 3 mol liter . Find the steadystate 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 statespace 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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 '12
 piere
 Thermodynamics, International System of Units, Stirred tank heater, steadystate dilution rate

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