A process to remove contaminant A includes two independent pipes flowing into a

Question

A process to remove contaminant A includes two independent pipes flowing into a cylindrical reactor, and a single outlet port. The reactor has a diameter of 2.8 m and a height of 2 m. The flow in the larger of the inlet pipes is 2.5 m3/s and contains 50 g/L of A. The smaller pipe also carries contaminant A at a rate of 5.104 Hg/s. Under these conditions, the reactor's outlet flow is 3.25 m3/s. Assuming that the removal of contaminant A follows first-order kinetics (k 0.35 s1): a) Sketch the described process and write a mass-balance equation for contaminant A around the entir 2. control volume assuming the reactor behaves as an ideal CSTR. Calculate the steady-state concentrati of A in the reactor, in ug/L b) Calculate the flow and concentration of A in the smaller pipe, in m'/s and ug/L, respectively. c) If the smaller pipe inlet valve is suddenly closed so that its flow into the reactor is completely stop what is the new steady-state concentration of A in the reactor, in g/L? How long does it take the contaminant A concentration to regain steady-state condition after this ch Express answer in seconds. d)

Explanation / Answer

a) For first order CSTR we use

dm/dt=m(in)-m(out)+m(rxn)

0=QC(in)-QC-KCV

C=C(in)*Q/Q+KV

C=50 ug/L*2.5mt cubic sec/(2.5m^3/s +0.35*50ug/L).

Hence calculate to get A reactor in ug/L

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