A tile drainage system having a drainage coefficient of 25 mm drains an area of 0.2 km². The average discharge from the system (in m³·s⁻¹) is ________. (Rounded off to three decimal places)
Official Answer Key:
0.055 to 0.060
Step-by-Step Solution & Explanation
The drainage coefficient is defined as the depth of water removed from the drained area in a 24-hour period. Here it is 25 mm/day.
Step 1 — area in m²:
A = 0.2 km² = 0.2 × 10⁶ = 200,000 m²
Step 2 — daily volume removed:
V = 0.025 m × 200,000 m² = 5000 m³ per day
Step 3 — average discharge:
Q = 5000/(24 × 3600) = 5000/86,400 = 0.058 m³·s⁻¹
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