You are tasked with designing a chemical reactor for the production of a desired compound through a firstorder chemical reaction. The reaction proceeds according to the following elementary reaction kinetics: → Where, A, is the reactant and B, is the desired product. Objective: Your objective is to determine the concentration profile of , A as a function of time within the reactor. Problem Statement: Consider a batch reactor with an initial concentration of A (0) of 2.0 mol/L. The rate constant (k) for the reaction is 0.1 s−1. You are required to model the concentration profile of over a period of 10 seconds using the fourth-order Runge-Kutta method. Tasks: a) Formulate the first-order ordinary differential equation (ODE) governing the concentration of A with respect to time. b) Implement the fourth order Runge-Kutta method in Microsoft Excel to solve the ODE numerically. c) Create a time-step of 1 second and calculate the concentration of at each time step up to 10 seconds. d) Plot the concentration profile of A as a function of time. 2 e) Analyze, interpret and discuss any trends or observations observed in the concentration profile