Consider the following process for converting waste shredded fibers into a useful product. Fibers and fluid are fed continuously into a mixed flow reactor where they react according to the shrinking core model with the reaction step as rate controlling. Develop the performance expression for this operation as a function of the pertinent parameters and ignore elutriation. Hydrogen sulfide is removed from coal gas by passing the gas through a moving bed or iron oxide particles. In the coal gas environment (consider uniform) the solids are converted from Fe₂0₃ to FeS by the SCM/reaction control, τ = 1 hr. Find the fractional conversion of oxide to iron sulfide if the RTD of solids in the reactor is approximated by the E curves of Figs. P26.11-P26.14.

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26.11 E 90 min 26.12 A E 26.14 A E 15 45 min 45 26.13 t 8-function t E 30 90 min t