Reactant A decomposes in an isothermal batch reactor (C_Ao = 100) to produce wan

Question

Reactant A decomposes in an isothermal batch reactor (C_Ao = 100) to produce wanted R and unwanted S. and progressive concentration readings are recorded in the table below. Additional runs show that adding R or S does not affect the distribution of products formed and that only A does. Also, it is noted that the total number of moles of A, R, and S is constant. (a) Calculate and hence plot a graph of instantaneous Fractional Yield phi (R/A) versus C_A for this reaction. (b) With a feed of C_Ao = 100mmol/L, find the maximum product concentration C_Rmax using a mixed flow reactor (Use the graph drawn in question (a)). (c) If any 2-reactor combination can be used, determine which setup should be used (show your explanation in the graph phi (R/A) versus C_A drawn for question (a)).

Explanation / Answer

Instantaneous fractional yields :

(R/A) = [R/(R + S)] = dCR / (dCR + dCS) = k1CR0 / (k1CR + k2CR2) = k1 / (k1 + k2 CR )

Considering A, R & S constant as 1 & CA as 100

Here is the value to plot against CA

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