A city has a population of 100,000 with an average rate of demand of 160 litres of water per head per day. Find the area of rapid sand filter if the filtration rate is 4500 litres per hour per m2.

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  1. 222.2 m2
  2. 160 m2
  3. 148.13 m2
  4. 445.5 m2

Answer (Detailed Solution Below)

Option 3 : 148.13 m2
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Concept:

To calculate the area of a rapid sand filter, use:

\( \text{Area} = \frac{\text{Total Water Demand (litres/hour)}}{\text{Filtration Rate}} \)

  • Population = 100,000
  • Demand per person = 160 litres/day
  • Filtration rate = 4500 litres/hour/m²

Total hourly demand = \( \frac{100000 \times 160}{24} = 666666.67 \) litres/hour

Area = \( \frac{666666.67}{4500} \approx 148.15 \, \text{m}^2 \)

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