Complete the mole balance check in step E of Example \(20-7\) and show that mole balance agrees with results of solute movement analysis.

Example 20-7

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A 100.0 cm long column is packed with activated alumina. The column is initially filled with pure cyclohexane solvent (CA = 0.0 mol/L anthracene). At t = 0, feed 1 containing CA,F1 = 0.0090 mol/L anthracene in cyclohexane solvent is input. At tf2 = 10 minutes, feed 2 containing CAF2 = 0.011 mol/L anthracene in cyclohexane solvent is input. Superficial velocity is 20.0 cm/min. Predict and plot outlet concentration profile using solute movement theory. = Data: e 0.42, p = 0, Kd = 1.0, pf (cyclohexane) = 0.78 kg/L, pp = 1.465 kg/L, equilibrium: q = 22CA/(1 +375CA) where q = mol anthracene/kg adsorbent and C = mol anthracene/L solution.