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# hw9 - Homework#9 ChE 446 Fall 2010 Consider a constant...

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Homework #9 ChE 446 Fall 2010 Consider a constant volume continuous stirred tank reactor in which the following isomer- ization reaction occurs A B . Let C A and T denote the reactant concentration and temperature, respectively, in the reactor. The reaction rate per unit volume is: r ( C A , T ) = k 0 exp( - E/RT ) C A The dynamic model equations are: dC A dt = q V ( C Af - C A ) - r ( C A , T ) dT dt = q V ( T f - T ) + ( - Δ H ) ρC p r ( C A , T ) - UA V ρC p ( T - T j ) where V is the reactor volume, q is the volumetric feed flow rate, C Af and T f are the concentration and temperature, respectively, of the feed stream and T j is the cooling jacket temperature. The reaction and heat transfer parameters ( k 0 , E , Δ H , U , A ) and the physical properties ( ρ , C p ) are assumed to be constant. Consider the following parameter values: k 0 = 3.0 × 10 7 h - 1 , ( - Δ H ) = 5000 kcal/kmol, E = 12000 kcal/kmol, ρC p = 400 kcal/m 3 /K, UA = 150 kcal/h/K, R = 1.987 kcal/kmol/K, V = 0.9 m 3 , q = 1 m 3 /h, C Af = 10 kmol/m 3 , T f = 298 K and T j = 298 K. 1. First, find all the steady states for the reactor at the specified operating conditions assuming C Af and T j

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hw9 - Homework#9 ChE 446 Fall 2010 Consider a constant...

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