The liquid-phase reactionfollows an elementary rate law and is carried out isothermally in...

The liquid-phase reaction

follows an elementary rate law and is carried out isothermally in a flow system. The concentrations of the A and B feed streams are 2 M before mixing. The volumetric flow rate of each stream is 5 dm3/min, and the entering temperature is 300 K. The streams are mixed immediately before entering. Two reactors are available. One is a gray 200.0-dm3 CSTR that can be heated to 77 °C or cooled to 0 °C, and the other is a white 800.0-dm3 PFR operated at 300 K that cannot be heated or cooled but can be painted red or black. Note k = 0.07 dm3/mol-min at 300 K and E = 20 kcal/mol.

(a) Which reactor and what conditions do you recommend? Explain the reason for your choice (e.g., color, cost, space available, weather conditions). Back up your reasoning with the appropriate calculations.

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(b) How long would it take to achieve 90% conversion in a 200-dm3 batch reactor with CA0 = CB0 = 1 M after mixing at a temperature of 77 °C?

(c) What would your answer to part (b) be if the reactor were cooled to 0 °C?

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(d) What conversion would be obtained if the CSTR and PFR were operated at 300 K and connected in series? In parallel with 5 mol/min to each?

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(e) Keeping Table 4–3 in mind, what batch reactor volume would be necessary to process the same amount of species A per day as the flow reactors while achieving 90% conversion? Referring to Table 1–1, estimate the cost of the batch reactor.

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(f) Write a couple of sentences describing what you learned from the problem and what you believe to be the point of the problem.