Chapter 8, Problem 8.8P

Consider the reaction $A\stackrel{k_2}{\to }D\stackrel{k_2}{\to }U$

Pure A is fed to a 1.0 -dm ${}^3$

CSTR where it reacts to form a desired product (D), which can then react further to produce an undesired product (U); both reactions are elementary and irreversible, and everything is liquid phase. The entering concentration of A is 1 mole dm ${}^3$ at a molar flow rate of 1 mol/min.

(a) Sketch the conversion of A, X, the instantaneous selectivity of $D$ to $U,S_D$ iu, and the instantaneous yield of $D,Y_D$, as a function of space time (make sure to label them on the plot). You may want to write a sentence or two of reasoning for partial credit purposes.

(b) If at $\tau =1.0$ minutes the instantaneous selectivity, $S_0/\mu$ is (1/2) and the conversion of A is (0.5), what are the specific reactions rates ${\text{k}}_{\text{x}}$ and ${\text{k}}_2?$