The excess water from a watershed of area 16.95 km² is drained out through a channel at an average rate of 2.8 m³·s⁻¹. Drainage coefficient of the watershed, in cm, is __________. (Rounded off to 2 decimal places)
Official Answer Key:
1.40 to 1.45
Step-by-Step Solution & Explanation
The drainage coefficient is the depth of water removed from the drained area in 24 hours.
Step 1 — daily volume drained:
V = 2.8 m³·s⁻¹ × 86,400 s = 241,920 m³ per day
Step 2 — watershed area in m²:
A = 16.95 km² = 16.95 × 10⁶ = 16,950,000 m²
Step 3 — equivalent depth:
d = V/A = 241,920/16,950,000 = 0.014273 m
Step 4 — convert to centimetres:
d = 0.014273 × 100 = 1.43 cm
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