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# L22 - Lecture 22 A Material Balance Equation l dl c w c(1 p...

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Lecture 22 A April 11, 2002

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Material Balance Equation dl l ) ( ) 1 ( ) 1 ( * c c a K t w l c u t w t c c p o p = = + ρ ε + D l ε∂ 2 c/ l 2 Where c* = fluid concentration in equilibrium with solid concentration, W
Special Case: - Neglect dispersion - Mass transfer resistance is negligible -K c ~ -c = c * Å instantaneous equilibrium Case 1: - Linear Absorption Isotherm - w = bc*=bc b u t l l c u t c b l c u t bc t c p o c o p o p ρ ε ) 1 ( ) ( ) ) 1 ( ( ) ( ) 1 ( + = = + = + Velocity of concentration front, u c

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0L l t1 t2 l c c t l t t l = 1 2 The velocity with which concentration fronts move is independent of concentration. t1 t2 t3 l c Velocity of Concentration front b u p o ρ ε ) 1 ( + =
Time for saturation of bed = t* = o p u b L ] ) 1 ( [ ρ ε + c l Concentration fronts maintain shape because concentration velocity is independent of concentration.

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- For other adsorption isotherms, u c = w c dc dw u dt dl p o c ρ ε ) 1 (
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L22 - Lecture 22 A Material Balance Equation l dl c w c(1 p...

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