A rectangular chemical reactor with a single entry and an exit point as illustrated in Figure l is modelled as a one-dimensional reactor with length L. Figure l l-dimensional rectangular chemical reactor The reactor is lled with water until the inlet and outlet ow is steady. At t = 0, a chemical is injected into the reactor's inflow at a constant level of cm, and it is assumed that the chemical leaves reactor without an),r dispersion at the outlet. The boundary conditions at the inlet and outlet of the reactor are: cm = Co - 32;: at the inlet 20., t) = 0 at the outlet 61' The distribution of concentration along the length of the reactor can be calculated using advection-diffusion equation: 6.: 6% ac aD(m)-Uakc where: c = concentration (mg/m3) r = time (min) 1: = distance along the reactor (to), where x = 0 at inlet U = velocity in the x direction (mfmin) where: C = concentration (mg/m) t = time (min) x = distance along the reactor (m), where x = 0 at inlet U = velocity in the x direction (m/min) D = diffusion coefficient (m /min) k = reaction rate (min") whereby the chemical decays to another form [i] Develop an explicit scheme to solve this equation numerically. Use k = 0.15, D = 50, U = 1 and length of reactor, L = 5. Note that at t = 0, the initial concentration is zero and that the inflow concentration is given as cin = 100. [ii] Using Ar = 1 and At = 0.005, perform numerical calculations up to t = 0.01. Tabulate the results of concentration at specific location along the reactor. [iii] Repeat [i] and [ii] using control volume approach (as Assignment 2)