Find number of stages needed for a countercurrent extractor if 10 \(\mathrm{kmol} / \mathrm{h}\) feed that is \(10 \mathrm{~mol} \% \mathrm{CCl}_{4}\) and \(90 \mathrm{~mol} \%\) acetic acid is processed at \(293 \mathrm{~K}\) and \(1 \mathrm{~atm}\). Solvent is pure tri-ethylamine with a flow rate of \(14.5 \mathrm{kmol} / \mathrm{h}\). Exiting extract is \(9.1 \mathrm{~mol} \% \mathrm{CCl}_{4}\). Also find flow rates and mole fraction of exiting extract and raffinate streams. Equilibrium data in Table 13-A1 in Appendix to Chapter 13.

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TABLE 13-A1. NRTL parameters and experimental tie line data for triethylamine (1), carbon-tetrachloride (2), and acetic-acid (3) at 293K and 1 atm (Sorensen and Arlt, 1980); alpha = 0.2, units are K i j 1 2 1 3 2 3 Aij Aji -303.24 90.396 1162.9 -143.69 350.19 75.515 Experimental tie lines in mole fractions: Triethylamine-Extract phase (phase 2) Acetic-acid -Raffinate phase (phase 1) 1 2 3 1 2 3 0.914 0.020 0.066 0.412 0.0090 0.579 0.861 0.0710 0.068 0.414 0.034 0.552 0.770 0.144 0.086 0.418 0.071 0.511 0.698 0.192 0.110 0.423 0.104 0.473 0.642 0.216 0.142 0.425 0.135 0.440 0.62 0.222 0.158 0.425 0.147 0.428