Project ForgeFluid Mechanics
Bernoulli's Equation & Flow
GATE 2017
Easy
Water (density = 1000 kg/m³) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of 1 kg/s. If the pressure drop across the pipe is 100 kPa, the minimum power required to pump the water across the pipe, in watts, is __________.
100 W(± 1 accepted)
Explanation
Volumetric flow rate Q = mdot/ρ = 1/1000 = 1e-3 m³/s. Pumping power = Q×Δp = 1e-3 × 100000 = 100 W.
Source: GATE ME 2017 Session 1 (ME-1) (2017)
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