A dispersed plug chemical reactor has an influent flow with concentration of 150 mg/L of A and a flow rate of 100 gal/min (380 L/min). The reaction is first order, The rate equation : - dC/dt = kC= -r , and the rate constant is 0.4 h^-1 . The axial or longitudinal dispersion number, D/vL is 1.0. Determine: a. The required detention time and required volume if the removal or conversion of A is 90%. Express the volume as gallons and liters. b. The required detention time and the reactor volume if the removal of A is 80%. Express volume as gallons and liters (The answers in the back of the book are for (a) is time dpf= 12.7 hr; vol=76,200 gal = 290,000 L; (b) is time dpf= 10.4 hr; vol=62,400 = 237,000 L)