1. An aqueous solution, buffered to a pH of 3.4 by sodium citrate and containing 20 mol/m^3 each of glutamic acid and glycine, is separated in a chromatographic column packed with Dowex 50W-X8 in the sodium form to a depth of 470 mm. The resin is 0.07 mm in diameter and packs to a bed fraction of 0.374. The equilibrium relationship follows Henry's law (linear) with the equilibrium constants for the two components being K_glutamic acid = 1.18 and K_glycine = 1.74. The superficial solution velocity is 0.025 cm/s. Use the equilibrium theory for the following:
a. Calculate the residence times of the pulse for glutamic acid and glycine.
b. What is the maximum width of the square pulse that can be maintained at the inlet for complete separation of the two components?