The following liquid phase reactions (Van de Vusse) take place simultaneously on an isothermal continuous stirred tank reactor (CSTR). It is assumed that the reactor is equipped with propellers providing perfect mixing and a heat transfer system to maintain temperature constant. There is no change in density between the input stream and the reacting mixture. The desired product is B. (1) ) (2) Both reactions are first order (rate constants constant, The reaction is second order (rate The rate of reaction for all species is given by : Given that Additional information: CAo=10mol/L,=V/Q space time (min) a. Using mole balance on the CSTR with equal input and output flow rate and inserting the corresponding reaction rates, determine mathematical model for , , , . b. For CSTR at steady state, determine how the concentration of the desired product as a function of ? Plot this relation (? c. What is the optimum space time () that maximize the desired product concentration () . d. Use MATLAB (ode15s) or POLYMATH software to determine how the concentration of all species (change with time up to steady state conditions. e. Calculate the selectivity at the optimum conditions ( ). f. Discuss the obtained results with respect to the design of the CSTR. The following liquid phase reactions (Van de Vusse) take place simultaneously on an isothermal continuous stirred tank reactor (CSTR). It is assumed that the reactor is equipped with propellers providing perfect mixing and a heat transfer system to maintain temperature constant. There is no change in density between the input stream and the reacting mixture. The desired product is B. (1) ) (2) Both reactions are first order (rate constants constant, The reaction is second order (rate The rate of reaction for all species is given by : Given that Additional information: CAo=10mol/L,=V/Q space time (min) a. Using mole balance on the CSTR with equal input and output flow rate and inserting the corresponding reaction rates, determine mathematical model for , , , . b. For CSTR at steady state, determine how the concentration of the desired product as a function of ? Plot this relation (? c. What is the optimum space time () that maximize the desired product concentration () . d. Use MATLAB (ode15s) or POLYMATH software to determine how the concentration of all species (change with time up to steady state conditions. e. Calculate the selectivity at the optimum conditions ( ). f. Discuss the obtained results with respect to the design of the CSTR