Problem 1 (20 pts) Problem 1.3 rice Pure water is passing through a tube constructed of...

Problem 1 (20 pts) Problem 1.3 rice
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 acid/cm3 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 ( 5 pts)
b. Take a quasi-steady-state material balance for plug velocity profiles and show that the ODE obtained is: (10 pts)
−??????+??(4?)(?∗−?)=0
where D denotes the inner tube diameter (taken as approximately invariant), v0 is liquid velocity, and kC is the (constant) mass transfer coefficient.
c. Solve the equation in a to express C as a function of Z? (5 pts)

Expert Solution

Amanda K answered 6 months ago

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