(Solved): The liquid phase, non-elementary reactions will be carried out in a PFR reactor operating at a cons ...

The liquid phase, non-elementary reactions will be carried out in a PFR reactor operating at a constant temperature of 600 Kelvins and a constant pressure of $10\mathrm{atm}$. Species C is considered the desired product, while species $D$ is the undesired product. The feed volumetric rate will be 2500 liters per minute, with the following composition: With the following information, do the following: (A) Derive and write the PFR mole balances for species A, C, and D that include the expressions for the net reaction rates for each species as differential equations with respect to space time $\tau$. Have the known constants substituted in and the initial conditions written for each equation. (15 points) (B) Use POLYMATH or MATLAB to solve the differential equations for CA, CC, and CD for space-time $\tau$ from 0 minutes to 10 minutes, with increments of 1 minute. Fill the table in Part B with your values of $CA,CC$, and $CD$ after obtaining the results from the solved differential equations. (10 points) (C) Find the space time $\tau$ in minutes that maximizes species $C$ in mol/L and the maximum concentration of species $C$ from that value of tau. You may do this by looking at the plot of $CA,CC$, and $CD$ from your results or the table you filled out in Part B or the table of results from POLYMATH or MATLAB. (5 points) (D) Find the volume of the reactor corresponding to the space time identified in Part C. (5 points) (E) Calculate the selectivity of species $C\left(S_{C/D}=C/\left(C_0\right)\right)$ at the space time identified in Part $C$. (5 points)