Question 10.8: Outline the step-by-step procedures for calculating the stea...

Outline the step-by-step procedures for calculating the steam requirements (lb steam/min-ft²), of a fixed-bed carbon adsorption system.

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The step-by-step procedures for calculating the steam requirements of a fixed-bed regenerative carbon system are summarized as follows:

Step 1: Carbon Adsorber Efficiency

For a given HAP outlet concentration (HAP_{e}), the adsorption time (θ_{ad}), the regeneration time (θ_{reg}),and the steam requirement (St) can be determined using Table 3.

θ_{ad} = ــــــــــــــــــــــــــــــــــــــh
θ_{reg}= ــــــــــــــــــــــــــــــــــــــh
St = ــــــــــــــــــــــــــــــــــــــlb steam/lb carbon

Table 3
Carbon Adsorber System Efficiency Variables
Steam requirement for regeneration, St (lb steam/lb carbon)
0.3 1.0
Outlet HAP concentration, HAP_{o} (ppmv) 70 10–12
Adsorption cycle time,^{a} θ_{ad} (h) 2 2
Regeneration cycle time,^{a} θ_{reg} (h) 2 2

_{}^{a}\textrm{In } some instances, cycle times may be considerably longer than the values given here. The values in this table are approximate, not definitive.

Step 2: Steam Required for Regeneration

Calculate the steam requirement using

Q_{s} =NA [St(C'_{req})/(θ_{req}  −  θ_{dry-cool})]/60                               (10)
Q_{s} = ــــــــــــــــــــــــــــــــــــــ lb/h

Calculate Q_{s}/A_{bed}:

A_{bed} =Q'_{e,a}/U_{e}                                                                               (10a)
A_{bed} = ــــــــــــــــــــــــــــــــــــــft²
Q_{s}/A_{bed} = ــــــــــــــــــــــــــــــــــــــlb steam/min-ft²

Typically, the Q_{s}/A_{bed} is limited to 4 lb steam/min-ft² to prevent fluidization of the carbon bed. Assume Q_{dry-cool} = 0.25 h, if no information is available.

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