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A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width ratio of filter bed as 1.35. The width of each filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down repair and maintenance. The total number of filter required will be
  • a)
    19
  • b)
    20
  • c)
    21
  • d)
    22
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A rapid sand filter comprising a number of filter beds is required to ...
Total water to be filtered = 99 x 1.05 MLD
 = 103.95 MLD
(Addition of 5% to be used for backwashing)
where B = 5.2 m
∴ L= 7.02 m
∴ Surface area of each filter = 36.504 m2
Total surface area required

Total no. of working units required 

1 unit is to added as standby, thus total no. of units required = 21
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Most Upvoted Answer
A rapid sand filter comprising a number of filter beds is required to ...
To determine the total number of filter beds required for a rapid sand filter system, we need to consider the water demand, filtration rate, water loss during backwashing, and the additional bed for maintenance.

Given data:
- Water demand: 99 MLD (million liters per day)
- Water loss during backwashing: 5%
- Filtration rate: 6.0 m/h
- Length to width ratio of filter bed: 1.35
- Width of each filter bed: 5.2 m

Let's calculate the number of filter beds required step by step.

Step 1: Calculate the filtration area required
Filtration Area = Water Demand / Filtration Rate
Filtration Area = 99 MLD / (6.0 m/h * 24 h/day)
Filtration Area = 99 MLD / 144 m²/day
Filtration Area = 686,111 m²

Step 2: Calculate the area of one filter bed
Length of each filter bed = Length to width ratio * Width of each filter bed
Length of each filter bed = 1.35 * 5.2 m
Length of each filter bed = 7.02 m
Area of each filter bed = Length of each filter bed * Width of each filter bed
Area of each filter bed = 7.02 m * 5.2 m
Area of each filter bed = 36.504 m²

Step 3: Calculate the total number of filter beds required
Total Number of Filter Beds = Filtration Area / Area of each filter bed
Total Number of Filter Beds = 686,111 m² / 36.504 m²
Total Number of Filter Beds ≈ 18.8

Since we cannot have a fractional number of filter beds, we need to round up to the nearest whole number. Additionally, one additional bed is required for maintenance purposes.

Total Number of Filter Beds = 19 + 1 (for maintenance)
Total Number of Filter Beds = 20

Hence, the correct answer is option 'C' - 21 filter beds are required.
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A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width ratio of filter bed as 1.35. The width of each filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down repair and maintenance. The total number of filter required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer?
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A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width ratio of filter bed as 1.35. The width of each filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down repair and maintenance. The total number of filter required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width ratio of filter bed as 1.35. The width of each filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down repair and maintenance. The total number of filter required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rapid sand filter comprising a number of filter beds is required to produce 99 MLD of potable water. Consider water loss during backwashing as 5%, rate of filtration as 6.0 m/h and length to width ratio of filter bed as 1.35. The width of each filter bed is to be kept equal to 5.2 m. One additional filter bed is to be provided to take care of break-down repair and maintenance. The total number of filter required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer?.
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