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where By substituting for Ɛ in the Equation 1.4, Χ can alternatively be calculated from6: T P log10 s (1.6) (1.7) i o = polarizabilityofcomponentiperunitvolume,wherecomponentiisthe adsorbate = polarizabilityofcomponentoperunitvolume,wherecomponentois thereference component, n-heptane. n2 1 n2 2 (1.8) (1.9) Once X and Γ are known, Y can be calculated from: 𝑌 = 𝜒 𝛤 VP m i The next step in calculating Y is to calculate the relative polarizability, Γ. i o Calgon also has a proprietary, seventh-order form in which two additional coefficients are added to the Calgon fifth-order polynomial, but the degree of fit reportedly is improved only modestly. [8] Additional sources of isotherm data include activated carbon vendors, handbooks (such as Perry’s Chemical Engineer’s Handbook), and the literature. 1.6 Design Procedure 1.6.1 Sizing Parameters Data received from adsorber vendors indicate that the size and purchase cost of a fixed- bed or canister carbon adsorber system primarily depend on five parameters: 1. The volumetric flow of the VOC laden gas passing through the carbon bed(s); 2. The inlet and outlet VOC mass loadings of the gas stream; 3. The adsorption time (i.e., the time a carbon bed remains on-line to adsorb VOC before being taken off-line for desorption of the bed); 6 Alternatively, if the available values for T, Pi, Ps, and Vm are in English units, they may be substituted into this equation without conversion. However, to make the result dimensionally consistent with Equation 1.3, it be multiplied by the conversion factor, 34.7. 1-15PDF Image | Carbon Adsorbers
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