GATE CE 2018 Set 1 — Question 43
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Environmental Engineering → Drinking Water Treatment → Filtration
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Question
A rapid sand filter comprising a number of filter beds is required to produce of potable water. Consider water loss during backwashing as , rate of filtration as and length to width ratio of filter bed as . The width of each filter bed is to be kept equal to . One additional filter bed is to be provided to take care of break-down, repair and maintenance. The total number of filter beds required will be
- A.
- B.
- C.
- D.
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Correct answer
(C;D)
Solution
1.Calculate total water to be filtered per day ():
Potable water required = Water loss during backwashing =
2.Calculate total area of filter beds required ():
Rate of filtration () = 3.Calculate area of each filter bed ():
Width () = Length () =
4.Calculate number of operational filter beds ():
Rounding up to the next integer, beds.
5.Calculate total number of beds including standby:
Total beds = .Note: Depending on rounding conventions or specific design standards, some might round the operational beds to , leading to a total of . Both options (C) and (D) were accepted in the official answer key.Continue learning with Success Tracker
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