Question 4. An industrial process produces a by-product compound ‘X’ which exceeds the sewer use limit. Therefore, before the wastewater can be discharged to the sewer, the concentration of ‘X’ must be reduced to below 30 mg C/L. The industrial wastewater, with a concentration of 1780 mg C/L, flows through a long series of channels before reaching the treatment reactor. The long series of channels can be modelled as a PFR with a volume of 23 m3 and the treatment reactor can be modelled as a CSTR with a volume of 15 m3. The compound ‘X’ naturally degrades in the series of channels before the treatment reactor with a reaction rate constant of 0.75 mg/(L·min). In the treatment reactor the addition of chemicals and catalysts cause compound ‘X’ to degrade according to second order kinetics described with a reaction rate constant of 0.015 L/(mg·min). a) Derive the appropriate HRT equations for the PFR channels and the CSTR treatment reactor (state all assumptions and show all work). b) Does the final effluent meet the required concentration of compound ‘C’ if the flow rate is 330 m3/d in the channel and through the treatment reactor? If not determine the maximum flow rate that can be accommodated to meet the discharge limit of 30 mg C/L.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question 4. An industrial process produces a by-product compound ‘X’ which exceeds the sewer use limit. Therefore, before the wastewater can be discharged to the sewer, the concentration of ‘X’ must be reduced to below 30 mg C/L. The industrial wastewater, with a concentration of 1780 mg C/L, flows through a long series of channels before reaching the treatment reactor. The long series of channels can be modelled as a PFR with a volume of 23 m3 and the treatment reactor can be modelled as a CSTR with a volume of 15 m3. The compound ‘X’ naturally degrades in the series of channels before the treatment reactor with a reaction rate constant of 0.75 mg/(L·min). In the treatment reactor the addition of chemicals and catalysts cause compound ‘X’ to degrade according to second order kinetics described with a reaction rate constant of 0.015 L/(mg·min). a) Derive the appropriate HRT equations for the PFR channels and the CSTR treatment reactor (state all assumptions and show all work). b) Does the final effluent meet the required concentration of compound ‘C’ if the flow rate is 330 m3/d in the channel and through the treatment reactor? If not determine the maximum flow rate that can be accommodated to meet the discharge limit of 30 mg C/L.

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Step 1

Concentration in industrial waste water = 1780 mg C/L

Volume of PFR $(V_{p}) = 23 m^{3}$

Volume of CSTR $(V_{c}) = 15 m^{3}$

Reaction rate in PFR $(R_{p}) = 0.75 mg$

Constant $(k) = 0.015 L / (m g . m i n)$

Rate of flow $(Q) = 330 m^{3} / day$

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