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SolutionsHW#3

# SolutionsHW#3 - SOLUTIONS HOMEWORK NO 3 CE 3400...

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SOLUTIONS HOMEWORK NO. 3 CE 3400 – Introduction of Environmental Engineering Material Covered: Chapter 6 (REACTORS) in Vesilind et al., 2010 1. A CSTR is used to treat an industrial waste, using a reaction that destroys the pollutant according to first-order kinetics with k = 0.216 day -1 . The reactor volume is 500 m 3 , the volumetric flow rate of the single inlet and exit is 50 m 3 /day, and the inlet pollutant concentration is 100 mg/L. What is the concentration of the pollutant in the treated effluent? Find : C out Assumptions : steady state (Q in = Q out ), consumption of pollutant, perfect mixing, no concentration or temperature gradients in reactor, first-order reaction kinetics Volumetric Mass Balance: Q in = Q out so use Q without subscripts in equations dC dt V = QC in QC out + r 1 V r 2 V Assume steady state so: dC dt V = 0 because dC dt in reactor not changing w/ time 0 = QC in = QC out r 2 V Since r = kC , then 0 = QC in QC out kCV C o C = 1 + k V Q C = QC o Q + kV (Equation found on p.184 of textbook)

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