Solve the below example correctly and urgently, thank you! Chemical Process Control Course

A continuous stirred-tank reactor ( CSTR ) is used to produce a compound R in the liquid-phase elementary reaction AR. Feed enters the reactor at rate of qi(L/s) : the concentration of reactant in the feed is CAo(molA/L). The volume of the tanks content is V(L). The vessel may be considered perfectly mixed, so that the concentration of A in the product stream equals that in the tank. For this process the rate of consumption of A is rA (mol A/sL). A ilf fluids (the feed, the tank content, and the product) may be taken to have the same density) (g/L). The reaction takes place under isothermal conditions. (a) Write the mathematical model to describe the variation of reactant concentration with time (b) Do Degree of Freedom Analysis: Parameters: ,k NV=5(CAo,CA,V,qi,q)NE=2 NF=52=33 input variables should be specified. Input variables: qi,CAo,V Output variables: CA and q (c) Find the steady-state concentration and conversion if the reaction rate constant is k=0.01s1, the liquid volume is 250L, the reactant feed concentration is o.6 mol/L, and the feed flow rate is 0.4L/s ? d) Suppose the feed flow rate changes suddenly from 0.4 to 0.8L/s and remains at this new value, p lot the response of concentration CA(t). (e) Suppose that you would like to introduce a level controller to control the liquid volume, V, by manipulating the outlet flow rate, q, and concentration controller to control CA by manipulating qi. How the dynamic model will be for such control tasks?. Input variables: qi,CAo,q Output variables: CA and V