Subtopic: Calculation of power, torque, fuel consumption, heat load and power losses
Question Statement:
An unconfined aquifer covering an area of 50 ha has a hydraulic conductivity of 20 m day⁻¹ and specific yield of 12%. After a significant rainfall event, the water table rises from 17 m to 14.5 m below the ground level. Assuming no abstraction and outflow of groundwater during the recharge period, the amount of groundwater recharge contributed by the rainfall in m³ is _____.
Official Answer Key:
150000
Step-by-Step Solution & Explanation
Groundwater recharge volume = Specific yield × Area × rise in water table.
Area = 50 ha = 50×10000 = 500000 m². Rise in water table = 17 − 14.5 = 2.5 m.
Recharge = 0.12 × 500000 × 2.5 = 150000 m³. Matches the official key exactly. (The hydraulic conductivity value given is not needed for this particular calculation — it would be relevant to a separate flow/discharge computation, not to the storage-based recharge volume.)
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