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A wastewater stream containing 100 ppm of a particular organic compound is to be treated using activated carbon adsorption. The activated carbon has a surface

A wastewater stream containing 100 ppm of a particular organic compound is to be treated using activated carbon adsorption. The activated carbon has a surface area of 500 m2/g and a pore volume of 0.5 cm3/g. The adsorption isotherm for this compound on the activated carbon is given by the Langmuir equation with a Langmuir constant of 0.02 L/mg. If a bed of activated carbon with a height of 1 m is used, what will be the breakthrough time for the bed if the flow rate of the wastewater stream is 10 L/min? Assume a constant bed porosity of 0.4 and ideal plug flow behavior.

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