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A stream contains a waste chemical, W, with a concentration of 1 mol/liter. To meet Environmental Protection Agency and state standards, at least 90% of the chemical must be removed by reaction.
The chemical decomposes by a second-order reaction with a rate constant of 1.5 liter/(mol hr). The stream flow rate is 100 liter/hour and two available reactors (400 and 2000 liters ) have been placed in series (the smaller reactor is placed before the larger one).
a. Write the modeling equations for the concentration of the waste chemical.
Assume constant volume and constant density. Let
C_w1 = concentration in reactor 1, mol/liter
C_w2 = concentration in reactor 2, mol/liter
F = volumetric flow rate, liter/hr
V_1 = liquid volume in reactor 1, liters
V_2 = liquid volume in reactor 2, liters
k = second-order rate constant, liter/(mol hr)
