(c) The rate of reaction of a microbial-mediated system is determined to be inhibited by the amount substrate in the system. The reaction rate law follows the Haldane substrate-inhibited equation: dS kSX dt S K+S+ K where k = maximum reaction rate, min S substrate concentration, mg/L Xcell concentration, mg/L Ks half velocity concentration (constant), mg/L KI substrate inhibition constant, mg/L (Eq. 2) (iv) In a system with a near constant biomass concentration of 4550 mg/L, Ks = 45 mg/L and Ki = 120 mg/L, it is observed that it takes 28.6 minutes to decrease the concentration in the batch reactor from 3600 mg/L to 10 mg/L. Determine the maximum reaction rate coefficient, k (min) for the system. (3 pts)