A \(50.0 \mathrm{~cm}\) long column contains activated carbon and is initially saturated with acetic acid at \(\mathrm{c}=0.007 \mathrm{kmol} / \mathrm{m}^{3}\) at \(4^{\circ} \mathrm{C}\). At \(\mathrm{t}=0\), column is eluted with pure water \((\mathrm{C}=0)\) at \(60^{\circ} \mathrm{C}\) at a superficial velocity of \(12.0 \mathrm{~cm} / \mathrm{min}\). Data are in problem 20.D7.

a. At what time does temperature increase?

b. What does the outlet concentration profile look like? Give concentration values and times for changes in exiting fluid.

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D7.* An initially clean 60.0 cm long column contains activated carbon. At t = 0, we feed a dilute aqueous solution of acetic acid (c = 0.010 kmol/m) at 4C in an upward direction. Superficial velocity of feed is 15.0 cm/min. After a very long time (1200 min) and when the column is certainly totally saturated (c = 0.010 everywhere), feed is stopped, flow direction is reversed, and the column is eluted with pure water at 60C at a superficial velocity of 15.0 cm/min. This elution continues for another 1200 minutes. Data: Equilibrium at 4C, q = 0.08943 c; equilibrium at 60C, q = 0.045305 c, with c in kmol/m and q in kmol/kg carbon; p = 1000 and ps = 1820.0 kg/m; Kd = 1.0; E = 0.434; p = 0.57; and Cps = 0.25 and Cpf = 1.00 cal/(g C). Ignore wall heat capacity effects.