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10_chap_wang.qxd  05/05/2004  5:10 pm  Page 418
                    418                                                    Lawrence K.Wang et al.

                       The working capacity value, W , is usually 50% of the equilibrium capacity (W ). Using
                                                c                                      e
                       Eq. (1) and values from Table 1, the W is calculated as follows:
                                                      e
                                                    W = k (P    ) m                            (1)
                                                      e     partial
                       where
                                                   −6
                           P    = (HAP ) (14.696 × 10 )                                        (2)
                            partial    e
                                                                            −6
                                                   −6
                           P    = (HAP ) (14.696 × 10 ) = (700 ppmv) (14.696 × 10 ) = 0.01029 psia
                            partial    e
                       Then, from Eq. (1), the equilibrium capacity is obtained.
                                                    W = k (P    ) m                            (1)
                                                      e     partial
                       From Table 1, k = 0.412 and m = 0.389.
                       Substituting these values into Eq.(1) yields the equilibrium capacity:
                                            W = (0.412) (0.01029 psia) 0.389
                                              e
                                             W = 0.06945 lb acetone/lb carbon
                                               e
                       Because the working capacity, W , is usually 50% of equilibrium capacity (W ),
                                                 c                                   e
                          W = 0.50 W = 0.50 (0.069 lb acetone/lb carbon) = 0.0345 lb acetone/lb carbon
                            c        e
                       The carbon requirement is calculated using
                                C   = M    θ /W                                               (11)
                                 req   HAP  ad  c
                                C   = (12.10 lb of acetone/h)(40 h)/(0.0345 lb acetone/lb carbon)
                                 req
                                C   = 14,029 lb of carbon
                                 req
                       Typically, each canister contains 150 lb of carbon; therefore, the required canister number
                       (RCN) is calculated as follows:
                                      RCN = (14,029 lb carbon)/(150 lb carbon/canister)
                                      RCN = 93.5 canisters, therefore use 94 canisters


                    NOMENCLATURE
                       θ ad        Adsorption cycle time (h)
                       θ dry-cool  Bed drying and cooling time (h)
                       θ           Regeneration cycle time (h)
                        req
                                             2
                       A           Bed area (ft )
                        bed
                       C           Amount of carbon required (lb)
                        req
                       C'          Amount of carbon required per vessel (lb)
                         req
                                                      3
                       D           Density of HAP (lb/ ft )
                        HAP
                       D           Vessel diameter (ft)
                        v
                       HAP         HAP emission stream concentration (ppmv)
                           e
                       HAP         HAP outlet stream concentration (ppmv)
                           o
                       k           Isotherm empirical parameter
                       LEL         Lower explosive limit (%)
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