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GATE 2020 PI – Question 49

General Engineering · Thermal and Fluids Engineering · 2 marks · Numerical answer

A large tank contains5 m water depth under surface pressure0.2 MPa. A small smooth bottom tap opens to atmosphere at0.1 MPa. With water density1000 kg/m³ and g=9.81 m/s², find exit speed in m/s (one decimal).

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Correct answer: 17.2 to 17.4

Explanation

Apply Bernoulli from the nearly stationary free surface to the outlet: v²/2=(p₁−p₂)/ρ+gH=100000/1000+9.81(5)=149.05. Thus v=√298.1=17.27 m/s, or17.3. Both pressure head and elevation head drive the flow.

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