GATE CE 2018 Set 2 — Question 56
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Water Resources Engineering → Fluid Properties & Statics → Fluid Pressure
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Question
A three-fluid system (immiscible) is connected to a vacuum pump. The specific gravity values of the fluids (, ) are given in the figure.
Unit weight of water, kN/m
Atmospheric Pressure, kPaThe gauge pressure value (in kN/m, up to two decimal places) of is ______
Atmospheric Pressure, kPaThe gauge pressure value (in kN/m, up to two decimal places) of is ______
Correct answer
-9
Solution
From the hydrostatic pressure distribution, we can equate the pressure at the bottom (level 0 m) from both the side tubes and the main tank.From the side tubes (open to atmosphere at 1.0 m level):
From the main tank:
Equating the two expressions for :
The gauge pressure :
Substituting the given values (, , kN/m):
Rounding to two decimal places, the gauge pressure is kN/m.
From the main tank:
Equating the two expressions for :
The gauge pressure :
Substituting the given values (, , kN/m):
Rounding to two decimal places, the gauge pressure is kN/m.
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