Question 10.9: Determine the steam requirements of a fixed-bed regenerative...

Determine the steam requirements of a fixed-bed regenerative carbon adsorption system for air emission control.

The given data are as follows:

RE = 95\%
HAP_{o} = 50 ppmv
St = 0.3 lb steam/ lb carbon (see Table 3)
θ_{reg} = 2 h (see Table 3)
A_{bed} = 181 ft²

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.

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Assume θ_{dry-cool} = 0.25 h.

Use Eq. (10):

Q_{s} = NA [St(C'_{req})/(θ_{req}  −  θ_{dry-cool})]/60                    (10)
Q_{s} = 1[0.3(2,390)/( 2 − 0.25)]/60
Q_{s} = 6.84  lb steam/min
Q_{s}/A_{bed} = (6.84  lb steam/min)/181 ft²
Q_{s}/A_{bed} = 0.0378  lb steam/min ft²

Because Q_{s}/A_{bed} is less than 4 lb steam/min-ft², fluidization in the carbon bed is not expected.

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