The capacity of the groundwater treatment plant has recently been expanded to receive an additional 50,000 m3/year.
As a result, all of the 6 rapid sand filtration are being operated. Assume a peak flow factor of 1.5. If the filtration rate is 5 m/h, what would be the area of each filter?
Each filter has an area of (m2):
25
25 is wrong answer
To find the area of each filter, we need to divide the total flow rate by the filtration rate.
1. Start by finding the total flow rate:
Total Flow Rate = Additional Capacity / Peak Flow Factor
Total Flow Rate = 50,000 m3/year / 1.5
2. Convert the flow rate from m3/year to m3/h (since the filtration rate is in m/h):
Total Flow Rate = (50,000 m3/year) / (365 days/year) / (24 hours/day)
3. Divide the total flow rate by the filtration rate to find the area of each filter:
Area of each filter = Total Flow Rate / Filtration Rate
Now let's calculate the area of each filter using these steps:
Total Flow Rate = (50,000 m3/year) / (1.5)
= 33,333.33 m3/year
Total Flow Rate = (33,333.33 m3/year) / (365 days/year) / (24 hours/day)
≈ 3.81 m3/h
Area of each filter = 3.81 m3/h / 5 m/h
≈ 0.762 m2
Therefore, the area of each filter would be approximately 0.762 m2.