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By applying the rule-of-thumb discussed in Section 1.6.3.2, the working capacity may be estimated at 50% of the equilibrium capacity, as follows: wc 0.5wc (max) 0.167 lbVOC / lbCarbon wc(max) = Equilibrium capacity at the adsorber inlet (lb VOC/lb carbon) Carbon Requirement: When operating, the adsorber will have two beds adsorbing and one bed regenerating/in stand-by at all times. Using equation 1.12 we can estimate the amount of the desorption time (ΘD): where where ND = NA = ΘA = ΘD = Number of desorbing beds Number of adsorbing beds Total time for adsorption (hours) Total time needed for bed regeneration, drying, and cooling (hours) N 1 D A D 12hours 6hours NA 2 Because the stated design desorption time of 5 hours is less than the 6 hours needed for bed regeneration, the proposed bed configuration is feasible. Equation 1.14 is used to calculate the amount of carbon required (Mc): m N 100lbVOC /hour12hours 1 Mc voc A1 D 1 10,800lbs we NA 0.167lbVOC /lbCarbon 2 Adsorber Vessel Dimensions: Assuming the vessels will be erected horizontally, the vessel diameter (D), length (L), and surface area (S) are calculated using Equations 1.18, 1.19, and 1.24, respectively. D0.127Mc'vb 0.127(3,600)(75)6.86ft Q ' 5,000 7.87Q'2 7.87 5,0002 L M 'v 3,600 75 9.72ft cb D 6.86 ft S D L 2 ( 6 . 8 6 f t ) 9 . 7 2 f t 2 2 8 3 f t Where the volumetric flow rate (Q') and quantity of carbon required (Mc') for each bed are calculated as follows: 1-36PDF Image | Carbon Adsorbers
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