1. A company produces wastewater containing an organic contaminant during eight hours every day at a flow rate of 1000 L/hour. The wastewater is to be treated by carbon adsorption. The waste concentration is 35 mg/L and a 90% removal is to be achieved. Two different carbon types were tested for the application and the isotherms for the contaminant on the different carbon types are given below. You are asked to choose the most economical carbon for each of two possible reactor configurations (assume all carbon types cost the same). Treatment choices are: i. A batch reactor that is big enough to hold the wastewater for one working day (=8 hours). Assume the kinetics are fast enough so that the carbon will reach equilibrium overnight. The reactor will be emptied and cleaned early the next morning and will be ready to be refilled with the wastewater produced that day. ii. fixed bed adsorber columns, arranged in series, such that the first column in the process stream is allowed to become completely saturated before regeneration (i.e. in equilibrium with the influent concentration). Each carbon column contains 100 kg of carbon. The two carbon types have the following isotherm equations (Ce (mg/L); qe (mg/g)): Carbon A: qe (mg/g)=50 Ce0.65 Carbon B: qe (mg/g)= 200 Ce0.20 a. Choose the most economical carbon for the batch reactor. What is the yearly amount of carbon needed for the batch reactor (assume 250 eight-hour workdays)? b. What is the most economical carbon for the column system? How long does it take before the first column is exhausted?

Structural Analysis
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Chapter2: Loads On Structures
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1.
A company produces wastewater containing an organic contaminant during eight
hours every day at a flow rate of 1000 L/hour. The wastewater is to be treated by
carbon adsorption. The waste concentration is 35 mg/L and a 90% removal is to be
achieved. Two different carbon types were tested for the application and the
isotherms for the contaminant on the different carbon types are given below. You are
asked to choose the most economical carbon for each of two possible reactor
configurations (assume all carbon types cost the same). Treatment choices are:
i. A batch reactor that is big enough to hold the wastewater for one working day
(=8 hours). Assume the kinetics are fast enough so that the carbon will reach
equilibrium overnight. The reactor will be emptied and cleaned early the next
morning and will be ready to be refilled with the wastewater produced that day.
ii. fixed bed adsorber columns, arranged in series, such that the first column in the
process stream is allowed to become completely saturated before regeneration
(i.e. in equilibrium with the influent concentration). Each carbon column
contains 100 kg of carbon.
The two carbon types have the following isotherm equations (Ce (mg/L); qe (mg/g)):
Carbon A: qe (mg/g)=50 Ce0.65
Carbon B: qe (mg/g)= 200 Ce0.20
a. Choose the most economical carbon for the batch reactor. What is the yearly
amount of carbon needed for the batch reactor (assume 250 eight-hour workdays)?
b. What is the most economical carbon for the column system? How long does it take
before the first column is exhausted?
Transcribed Image Text:1. A company produces wastewater containing an organic contaminant during eight hours every day at a flow rate of 1000 L/hour. The wastewater is to be treated by carbon adsorption. The waste concentration is 35 mg/L and a 90% removal is to be achieved. Two different carbon types were tested for the application and the isotherms for the contaminant on the different carbon types are given below. You are asked to choose the most economical carbon for each of two possible reactor configurations (assume all carbon types cost the same). Treatment choices are: i. A batch reactor that is big enough to hold the wastewater for one working day (=8 hours). Assume the kinetics are fast enough so that the carbon will reach equilibrium overnight. The reactor will be emptied and cleaned early the next morning and will be ready to be refilled with the wastewater produced that day. ii. fixed bed adsorber columns, arranged in series, such that the first column in the process stream is allowed to become completely saturated before regeneration (i.e. in equilibrium with the influent concentration). Each carbon column contains 100 kg of carbon. The two carbon types have the following isotherm equations (Ce (mg/L); qe (mg/g)): Carbon A: qe (mg/g)=50 Ce0.65 Carbon B: qe (mg/g)= 200 Ce0.20 a. Choose the most economical carbon for the batch reactor. What is the yearly amount of carbon needed for the batch reactor (assume 250 eight-hour workdays)? b. What is the most economical carbon for the column system? How long does it take before the first column is exhausted?
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