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):
To determine the area of each filter, we can use the formula:
Area = Flow Rate / Filtration Rate
First, let's calculate the flow rate:
Flow Rate = Capacity + Expansion
Flow Rate = 50,000 m3/year
Since the peak flow factor is 1.5, the actual flow rate would be:
Actual Flow Rate = Flow Rate * Peak Flow Factor
Actual Flow Rate = 50,000 m3/year * 1.5
Now, let's convert the flow rate to m3/hour for consistency with the filtration rate:
Actual Flow Rate = (50,000 m3/year * 1.5) / (365 days/year * 24 hours/day)
Actual Flow Rate ≈ 8.56 m3/hour
Finally, we can calculate the area of each filter using the filtration rate:
Area = Actual Flow Rate / Filtration Rate
Area = 8.56 m3/hour / 5 m/hour
Hence, the area of each filter is approximately 1.71 square meters.