## Problems

7.1 A consultant decided to recommend using an effective size of 0.55 mm and a uniformity coefficient of 1.65 for a proposed filter bed. Perform a sieve analysis to transform a run-of-bank sand you provide into a usable sand.

7.2 For the usable sand percentage distribution of Figure 7.9, what is the 50th percentile size?

7.3 The percentage p3 of a sample of stock sand is 46% and the percentage p2 is 53%. What is the percentage of stock corresponding to desired P10 size? If the percentage px were 30%, what would be p2?

7.4 The percentage of stock sand corresponding to the desired P10 is 30% and the percentage stock sand finer than or equal to the P60 is 53%. What is the percentage stock sand that is too fine to be usable?

7.5 The percentage stock sand too fine to be usable is 25.4% and the percentage corresponding to the P60 is 53%. What is the percentage stock sand corresponding to the desired P10?

7.6 The percentage stock sand corresponding to P10 is 30% and the percentage stock sand too fine to be usable is 25.4%. What is p2?

7.7 The percentage stock sand too fine to be usable is 25.4% and the percentage stock sand converted to the final sand is 46%. Calculate p5.

7.8 The percentage stock sand too coarse to be usable is 71.4% and the percentage stock sand converted to final sand is 46%. Calculate the percentage stock sand too fine to be usable.

7.9 The percentage stock sand too coarse to be usable is 71.4% and the percentage stock sand too fine to be usable is 25.4%. Calculate the percentage stock sand converted to final sand.

7.10 For the sharp filter sand of sieve analysis below, find the head loss if the sand is to be used in (a) a slow-sand filter 76 cm deep operated at

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