3.1. The reaction A + B takes place in a liquid-phase batch reactor at a constant temperature. The initial concentration of A is 1.2 mol/L. Determine the time required to achieve 75 % of the maximum possible conversion if the forward reaction is second order and the reverse reaction is first order: k, = 0.4 and k2 = 0.1 min . mol.min Hint: rA = -k, C, + K2CB CA = CA0 x = 1.2 x Cg = CBo + x = 0+ x = x %3D For maximum conversion dCA dt TA = 0 %3D TA = -0.4(1.2 - x)2 + 0.1x = 0 Determine: i. The roots of the equation using fzero near 2 (5) ii. The real zero (5) 3.2. Determine the real zero, and a complex conjugate pair of zeros for the equation below. x* 12x3 + 55x2 + 120x + 112