4. Consider an isothermal, continuous stirred tank reactor in which the following irre- versible reaction occurs: A + B. Let CA and Cb denote the molar concentrations of the reaction species. The reaction rate constant is denoted k, and the reaction rate per unit volume is: r = kCA. Let V denote the constant reactor volume, and 9 denote the volumetric flow rate of the inlet and outlet streams. The reactor is fed with pure component A at a molar concentration Caf. Consider the following constant operating conditions: CAS 1, and V = 1. To determine the unknown reaction rate constant k, steady-state experiments was performed at three different volumetric flow rates. The following data {, CA} was obtained: {0.5, 0.35}, {1.0, 0.45}, {2.0, 0.70}. Steady- state component balances combined with the experimental data yield the following overdetermined set of linear algebraic equations: 0.350 0.450 0.700 k = 0.325 0.550 0.600 (a) Formulate and analytically solve the least-square parameter estimation problem to obtain an estimate of k. (b) Compare the least-squares estimate of k to the estimates obtained from each individual experiment and the estimate obtained as the average of the individual estimates