Light component Linear flow rate

Solution of the equations is a process in which the coefficients of Eq. (14.28) are iteratively improved. To start, estimates must be made of the flow rates of all components in every stage. One procedure is to assume complete removal of a light key into the extract and of the heavy key into the raffinate, and to keep the solvent in the extract phase throughout the system. The distribution of the keys in the intermediate stages is assumed to vary linearly, and they must be made consistent with the overall balance, Eq. (14.27), for each component. With these estimated flowrates, the values of xik and yik are evaluated and may be used to find the activity coefficients and distribution ratios, Kik. This procedure is used in Example 14.9. 

---