Pure water is passing through a tube constructed of solid Citric acid. Since citric acid is slightly soluble in water (denote solubility as C^(**) moles aci(d)/(c)m^(3) solution), the inner walls of the tube will dissolve very slowly. By weighing the dried tube before and after exposure, it is possible to calculate the rate of mass transfer. a. Ske

Question

Pure water is passing through a tube constructed of solid Citric acid. Since citric acid is slightly soluble in water (denote solubility as

C^(**)

moles

aci(d)/(c)m^(3)

solution), the inner walls of the tube will dissolve very slowly. By weighing the dried tube before and after exposure, it is possible to calculate the rate of mass transfer. a. Sketch a flow diagram of the system (

5pts

) b. Take a quasi-steady-state material balance for plug velocity profiles and show that the ODE obtained is: (

10pts

q,

where D denotes the inner tube diameter (taken as approximately invariant),

v_(0)

is liquid velocity, and

k_(C)

is the (constant) mass transfer coefficient.

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