GATE AG 2016 • Q19 NAT • 1 Mark

Section 5: Irrigation and Drainage Engineering

Wells and Pumps

Subtopic: Pump characteristics

Question Statement:

A gear pump discharges 100 L min⁻¹ against a system pressure of 15 MPa. The overall efficiency of the pump is 0.75. Input power to run the pump in kW is ______

Official Answer Key:

32 to 34

Step-by-Step Solution & Explanation

Hydraulic (output) power = Q×P = (100/1000/60 m³/s)×(15×10⁶ Pa) = 0.001667×15×10⁶ = 25,000 W = 25 kW. Input (shaft) power = hydraulic power / overall efficiency = 25/0.75 = 33.3 kW, within the accepted band 32–34.

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