In a process to make compound R, the following reactions occur: (a) Based on the text, explain why… 1 answer below »

In a process to make compound R, the following reactions occur:

(a) Based on the text, explain why the optimum chemical composition would be high B and low A concentrations.

(b) An idealized reactor configuration to achieve this is reactor with side stream feeds of A, as shown below:

where f(V) (in m3 side feed/h m3 reactor volume) is the distribution of side feed additions along the reactor length (volume) to be determined. Assuming the reactor to operate with plug flow, derive the following mass balances:

(c) As an appropriate optimal design, the condition will be used that the side feed be adjusted to maintain C_A = constant (i.e., C_A = C_A0 = C_AL). Also, a high conversion of A is desired, and to simplify the calculations, it will be assumed that the side feed concentration is high, C_AW >> C_A = C_A0 = C_AL. For these special conditions, show that the three mass balances become

d) Using the simplified balances, determine the total reactor volume required as a function of F₀” ,  C_Al, C_B0, and C_BL.(e) Show that to maintain the above condition of constant C_A, the side feed distribution as a function of reactor length, has to satisfy

(f) As a final condition, equal stoichiometric feeds of A and B are to be used:

Show for this case that the relationship between the outlet levels of A and B is

(g) A useful measure is the weight yield of the desired R:

For k₂/k₁ = 1, compare the yield as a function of conversion with that found in a single perfectly mixed reactor and with a single plug flow reactor without side feeds.

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