A First-order irreversible reaction (response rate constant = k[min-1]) for component A is per- formed in a CSTR reactor in which volume V is constant. The inlet concentration of reactant A is Gf [lbmol/ft?], separately, pure A is continuously supplied at a flow rate of m [lbmol/min). The volume flow rate q [ft3/min] of the incoming reactant and the outgoing product remains constant, and when Cyand m change over time, answer the following questions. (The con- centration of component A in the CSTR reactor is C) (1) Establish the material balance equation for A in the reactor and specify the units of each term. Then, find Cs, the concentration of component A in the CSTR reactor under steady state. (2) Defining deviation variables of C, Cf, m as = C-Cs, Cf = -Cfis m=m- ms , Find the transfer function expressed with the deviation variable for the material balance equation obtained in (1) and answer what order the transfer function is when m is constant. (Use t= 9 K1 K2 = q+kV q+kV q+kv) + (3) Use the following values to find the steady-state concentration(Cs) of compo- nent A in the CSTR reactor , time constant(t), gain constant(K1), and steady- state gain of m(s) 3 V = 9 1 9 V = 300 ft, q = 100 ft/min, m, = 1.0 lbmol/min C.x = 0.1 lbmol/ft", k 10 h (4) Draw a block diagram of feedback control and feedforward control that con- stantly controls concentration C despite changes in the inflow concentration (Cf) in a given CSTR reactor.(the transfer functions of the sensor, valve, and controller are Gt, Gu, Gc,and the set value to the controller is R.)