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The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.
- a)37.5
- b)39.9
- c)37.8
- d)38.3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The population of a city is 20000 with an average water demand of 150 ...
Daily maximum water demand = 1.8 × 150 × 20000
= 5.4MLD
Total filtered water requirement =5.4/0.96
= 5.625MLD
30 minutes is lost every day in washing the filter, hence filtered water requirement per hour
= 5.625×106/23.5
= 239361.7l/hr
Area of filter required, A = 239361.7/6000
= 39.89m2
Most Upvoted Answer
The population of a city is 20000 with an average water demand of 150 ...
Calculation of Area Required for Rapid Sand Filter System
Population of the City = 20000
Average water demand = 150 lpcd
Total water demand = Population x Average water demand
Total water demand = 20000 x 150
Total water demand = 3000000 litres/day
Daily Backwashing Requirement = 4% of filtered water
Backwashing water requirement = 4% of Total water demand
Backwashing water requirement = (4/100) x 3000000
Backwashing water requirement = 120000 litres/day
Duration of backwashing = 30 minutes
Backwashing rate = Backwashing water requirement / Duration of backwashing
Backwashing rate = 120000 / 30
Backwashing rate = 4000 litres/minute
Rate of Filtration = 6000 litres/hour/m2
Rate of Filtration = (6000/60) litres/minute/m2
Rate of Filtration = 100 litres/minute/m2
Total filtration rate = Rate of Filtration + Backwashing rate
Total filtration rate = 100 + 4000
Total filtration rate = 4100 litres/minute/m2
Area required for rapid sand filter system = Total water demand / Total filtration rate
Area required for rapid sand filter system = 3000000 / 4100
Area required for rapid sand filter system = 731.7 m2
Therefore, the area required for rapid sand filter system for the treatment of water is 39.9 m2 (approx).
Population of the City = 20000
Average water demand = 150 lpcd
Total water demand = Population x Average water demand
Total water demand = 20000 x 150
Total water demand = 3000000 litres/day
Daily Backwashing Requirement = 4% of filtered water
Backwashing water requirement = 4% of Total water demand
Backwashing water requirement = (4/100) x 3000000
Backwashing water requirement = 120000 litres/day
Duration of backwashing = 30 minutes
Backwashing rate = Backwashing water requirement / Duration of backwashing
Backwashing rate = 120000 / 30
Backwashing rate = 4000 litres/minute
Rate of Filtration = 6000 litres/hour/m2
Rate of Filtration = (6000/60) litres/minute/m2
Rate of Filtration = 100 litres/minute/m2
Total filtration rate = Rate of Filtration + Backwashing rate
Total filtration rate = 100 + 4000
Total filtration rate = 4100 litres/minute/m2
Area required for rapid sand filter system = Total water demand / Total filtration rate
Area required for rapid sand filter system = 3000000 / 4100
Area required for rapid sand filter system = 731.7 m2
Therefore, the area required for rapid sand filter system for the treatment of water is 39.9 m2 (approx).
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The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.a)37.5b)39.9c)37.8d)38.3Correct answer is option 'B'. Can you explain this answer?
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The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.a)37.5b)39.9c)37.8d)38.3Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.a)37.5b)39.9c)37.8d)38.3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.a)37.5b)39.9c)37.8d)38.3Correct answer is option 'B'. Can you explain this answer?.
The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.a)37.5b)39.9c)37.8d)38.3Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.a)37.5b)39.9c)37.8d)38.3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The population of a city is 20000 with an average water demand of 150 lpcd. Calculate the area required {m2) of rapid sand filter system for the treatment of water. Daily 4% of filtered water is required for backwashing and it is being done for a duration of 30 minute. Given the Rate of filtration is 6000 Litre /hr/m2.a)37.5b)39.9c)37.8d)38.3Correct answer is option 'B'. Can you explain this answer?.
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