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 need to use the given information and formula.
1. Start by calculating the total flow rate of all the filters:
Total flow rate = Additional flow rate capacity × Peak flow factor
Total flow rate = 50,000 m3/year × 1.5
Total flow rate = 75,000 m3/year
2. Convert the flow rate from m3/year to m3/hour:
Total flow rate = 75,000 m3/year ÷ (365 days/year × 24 hours/day)
Total flow rate = 8.56 m3/hour
3. Determine the area of each filter using the filtration rate and flow rate:
Area of each filter = Total flow rate ÷ Filtration rate
Area of each filter = 8.56 m3/hour ÷ 5 m/hour
Area of each filter = 1.71 m2
Therefore, each filter has an area of 1.71 m2.