Grade-efficiency calculating from size data

Although experimental values of E can be obtained from the test data via the grade efficiency curve (from which X50 is determined—see chapter 3, Efficiency of Separation ), industrialists prefer to measure the fraction of solids unsedimented (1 — Ei) and plot this against the ratio of the measured flow rate and the calculated E value (which can be varied by changing the speed of rotation). This curve, which often comes out as a straight line on log-probability paper, is naturally a function of the size distribution of the feed but can be used to find the ratio of Q/IL for acceptable efficiency with the given feed material. Extrapolation of the data over the linear parts of the graph can be made with caution. 

Use the data from Appendix 5.A the feed solids properties, the overall efficiency, the grade-efficiency curve and Eq. (16.1.1) to calculate the differential size distribution of the overflow fraction from the first-stage cyclone. 

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