Consider the reaction
A→k1D→k2U
Pure A is fed to a 1.0-dm³ 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/dm³ 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/U, 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 explaining your reasoning for partial credit purposes.
b. If at τ= 1.0 minutes the instantaneous selectivity, S_D/U, is (1/2) and the conversion of A is (0.5), what are the specific reactions rates k₁ and k₂?