Consider a non-isothermal CSTR with jacket cooling where reactant A is converted to product by a first order reaction (AB ). Assume constant volume system and constant density system. (i) Write the dynamic model equations (overall material balance, component balance and energy balance). For the parameter set given below show that 350K and 0.5 gmmole /lit are the steady state temperature and concentration. (ii) Linearize the model equations around the steady state and express the dynamic equation in state-space form (in terms of deviation variables). Evaluate the eigen values and check the stability of the steady state. What type of phase plot do you expect? Data: F (feed rate )=100 liters /min,V( volume )=100 liters, Tj(jacket temperature) =300K,ko( reaction rate constant )=7.21010min1,(H) (Heat of reaction) =50000J/gm mole, E/R=8750K,8Cp=239J/ liter K,T1( feed temperature )=350K,CA( feed concentration )=10kgmole/m3,UA=50000J/minK