5. Consider a continuous stirred tank reactor in which the following irreversible reaction occurs: A + B, B+ A. The reaction rates per unit volume of the forward and reverse reactions are r;= kjCA and T, = k CB, respectively. The reactor has two inlet streams, with the first stream having volumetric flow rate q and concentrations CA and Cei 0 and the second stream having volumetric flow rate 42 and concentrations CA2 and CB2. The reactor has an outlet stream with volumetric flow rate q3 and concentrations CAs and CB3. The reactor operates isothermally with constant volume V and density p. At steady state the reactor is described by the following linear algebraic equations: 0 C+CA2-(45+ + Ca3 + k Ces Cait 2 higt V ) ,CB3 V 0 C82 + kCA3 (kr + // + 2 ) Ces 93 V V V (a) Given the parameter values kg = 2, kr = 1, y = 2, = 1, CA1 = 1, CA2 = 1 and CB2 = 6, formulate and solve a matrix problem Ax = b by Gaussian elimination to find the steady-state values C A3 and CB3. (b) Perform Gauss-Jordan elimination on the matrix A to find the inverse matrix A-1 (c) Use A-1 to determine the solution x. Calculate the 2-norm of x. 3 - = = =