To design a chemical reactor for the given exothermic reaction, we need to determine the type of reactor and its dimensions that will achieve the desired product concentration and residence time. In this case, we will choose a continuously-stirred tank reactor CSTR because it is well-mixed and isothermal, which are the conditions specified in the problem.1. First, let's calculate the reaction rate r using the reaction rate constant k and the concentrations of A and B:r = k * [A] * [B]Since A and B are in equal molar amounts, we can assume [A] = [B]. Let's denote their concentration as [X]. Then,r = k * [X]^22. Next, we need to determine the conversion X required to achieve a product concentration of at least 90% in the reactor effluent stream. The conversion is defined as the fraction of reactants that have been converted to products:X = C_out - C_in / C_inSince the desired product concentration is 90%, we can write:0.9 = C_out - C_in / C_inSolving for C_out, we get:C_out = 1.9 * C_in3. Now, we can use the reaction rate and the conversion to calculate the volumetric flow rate Q of the reactor:Q = F_in / 1 - X Given the total flow rate of 100 L/min, we can write:Q = 100 / 1 - X 4. The residence time t is given as 5 minutes. We can use this to calculate the reactor volume V :V = Q * tSubstituting the expression for Q from step 3, we get:V = 100 / 1 - X * 55. To determine the dimensions of the reactor, we can assume a cylindrical shape. The volume of a cylinder is given by:V = * D/2 ^2 * LWhere D is the diameter and L is the length of the reactor.6. Finally, we need to determine the value of X that will satisfy the desired product concentration and residence time. This will require iterative calculations or numerical methods to find the optimal value of X.Once the optimal value of X is found, we can use the equations from steps 4 and 5 to calculate the reactor volume V and dimensions D and L required to achieve the desired product concentration and residence time.