GATE Exam > GATE Questions > A rapid sand filter comprising a number of fi...
Start Learning for Free
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 beds required will be
- a)19
- b)20
- c)21
- d)22
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A rapid sand filter comprising a number of filter beds is required to ...
C or D
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, we need to consider the flow rate, water loss during backwashing, rate of filtration, and the length to width ratio of the filter bed.
Given data:
Flow rate (Q) = 99 MLD (million liters per day)
Water loss during backwashing = 5% (0.05)
Rate of filtration (V) = 6.0 m/h
Length to width ratio (L/W) = 1.35
Width of each filter bed = 5.2 m
Let's calculate the area of each filter bed first:
Area of each filter bed (A) = Q / (V * 24)
= (99 * 10^6) / (6.0 * 24)
= 685,416.67 m^2 (approx.)
To account for water loss during backwashing, we need to calculate the effective area of each filter bed:
Effective area of each filter bed = A / (1 - water loss during backwashing)
= 685,416.67 / (1 - 0.05)
= 721,065.22 m^2 (approx.)
Next, let's calculate the length of each filter bed using the length to width ratio:
Width of each filter bed = 5.2 m
Length of each filter bed = (L/W) * Width of each filter bed
= 1.35 * 5.2
= 7.02 m (approx.)
Now, let's calculate the total area required for the filter beds, including the additional bed for break-down, repair, and maintenance:
Total area required = (Number of filter beds + 1) * Effective area of each filter bed
We can rearrange the formula to find the number of filter beds:
Number of filter beds = (Total area required / Effective area of each filter bed) - 1
Plugging in the values:
Total area required = (22 * 721,065.22)
= 15,863,435.48 m^2 (approx.)
Number of filter beds = (15,863,435.48 / 721,065.22) - 1
= 21 (approx.)
Hence, the total number of filter beds required is 21, which matches option (c).
Given data:
Flow rate (Q) = 99 MLD (million liters per day)
Water loss during backwashing = 5% (0.05)
Rate of filtration (V) = 6.0 m/h
Length to width ratio (L/W) = 1.35
Width of each filter bed = 5.2 m
Let's calculate the area of each filter bed first:
Area of each filter bed (A) = Q / (V * 24)
= (99 * 10^6) / (6.0 * 24)
= 685,416.67 m^2 (approx.)
To account for water loss during backwashing, we need to calculate the effective area of each filter bed:
Effective area of each filter bed = A / (1 - water loss during backwashing)
= 685,416.67 / (1 - 0.05)
= 721,065.22 m^2 (approx.)
Next, let's calculate the length of each filter bed using the length to width ratio:
Width of each filter bed = 5.2 m
Length of each filter bed = (L/W) * Width of each filter bed
= 1.35 * 5.2
= 7.02 m (approx.)
Now, let's calculate the total area required for the filter beds, including the additional bed for break-down, repair, and maintenance:
Total area required = (Number of filter beds + 1) * Effective area of each filter bed
We can rearrange the formula to find the number of filter beds:
Number of filter beds = (Total area required / Effective area of each filter bed) - 1
Plugging in the values:
Total area required = (22 * 721,065.22)
= 15,863,435.48 m^2 (approx.)
Number of filter beds = (15,863,435.48 / 721,065.22) - 1
= 21 (approx.)
Hence, the total number of filter beds required is 21, which matches option (c).
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer?
Question Description
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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. 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 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer?.
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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. 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 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer?.
Solutions 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer?, a detailed solution 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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 beds required will bea)19b)20c)21d)22Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup