Calculate the minimum solvent that can be used. [Hint: In this case, the tie line through the feed L0 represents the condition for minimum solvent flow rate.

Minimum Solvent and Countercurrent Extraction of Acetone. An aqueous feed solution of 1000 kg/h containing 23.5 wt % acetone and 76.5 wt % water is being extracted in a countercurrent multistage extraction system using pure methylisobutyl ketone solvent at 298–299 K. The outlet water raffinate will contain 2.5 wt % acetone. Use equilibrium data from Appendix A.3.

a. Calculate the minimum solvent that can be used. [Hint: In this case, the tie line through the feed L0 represents the condition for minimum solvent flow rate. This gives V1min. Then, draw lines LNV1min and L0VN+1 to give the mixture point Mmin and the coordinate xAMmin. Using Eq. (27.4-4), solve for VN+1min, the minimum value of the solvent flow rate VN+1.]

b. Using a solvent flow rate of 1.5 times the minimum, calculate the number of theoretical stages.

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