Problem 2: Pseudo-Steady State Hypothesis Consider a unimolecular, gas-phase reaction with an intermediate product. k2 B This reaction is carried out in a BSTR under isothermal and isobaric conditions. The initial concentrations of A, B, and Care 1.0 M, O M, and 0 M respectively. Each reaction is irreversible and first order with respect to the reactants (i.e. r^=-kCA, rc = k Cu). a. What is the reaction rate expression for the generation of species B? For each parts b, c, and d, where b. k, = 0,1 sec" and k, = 0.01 sec c. k - 0.1 secl and k, -0.1 see! d. k, = 0.01 sec' and k, = 0.1 sec Solve the rate of equations analytically (with calculus, with a complete solution with work fully shown) to find analytical expressions for C, C., Co Coss, and Ccss where Cass and Cc ss are the concentrations of B and C calculated using PSSH. For each part, plot the concentrations CA Co. Co Coss, and Cc ss as a function of time for 0 st s 120 sec. Write 2-3 sentences for each plot that discuss the results and whether the PSSH is valid. For this problem, do not solve the reaction rate equations numerically (i.e. using MATLAB, WolframAlpha, or other numerical software packages). Instead, solve the reaction rate equations analytically with calculus. Identify the methods used to solve the equations and identify the specific equations in your solution that you used to generate each of the three plots