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Q9. A venturi meter is used in a freshwater pipeline. The meter entrance has an area of 0.00331 m² and is at a height of 5 m above the deck.

The meter throat has a diameter of 25 mm and is at a height of 2 m above the deck.

The difference in pressure between the entrance and throat due to flow velocity changes is 120 mm of mercury and the frictional losses are equivalent to 0.85 m of head of fresh water.

Note: ρ_water = 1000 kg/m³, rmercury = 13600 kg/m³, g = 9.81 m/s²

Calculate EACH of the following:

a) the velocity at the entrance (10)

b) the volumetric flow rate. (3)

c) the mass flow rate. (3)