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The equilibrium line for extraction of acetic acid from water into 3-heptanol at 25 C is y=0.828x (where x and y are wt fractions of acetic acid in water and 3-heptanol, respectively). We have an aqueous feed being fed into a liquid-liquid extractor (LLE) at 400 kg/hr that has x0=0.005 wt fraction acetic acid in water. The feed is contacted in the counter current LLE with 560 kg/hr of the extraction solvent that is yN+1=0.0001 wt fraction acetic acid. We desire an outlet concentration of xN=0.0003 wt fraction acetic acid in the raffinate. Assume water and 3-heptanol are immiscible. Clearly stating your assumptions, answer the following questions;

1. What is the wt fraction of acetone in the extract (y1) leaving the LLE?
2. Determine y1* (wt fraction of acetone in equilibrium with x0)
3. Determine the number of equilibrium stages (including fractional stages) required for this separation using the Kremser equation.
4. Determine the slope and intercept of the operating line
5. Determine the total number of equilibrium stages (including fractional stages) using the McCabe-Thiele graphical approach.
6. What is the minimum solvent flow rate? Hint: Think about pinch point!