oil is pumped from the tank of a ship to a storage tank on land 45m higher in elevation. what is the power required to pump twenty thousand litres of oil per hour given that one litre of oil has a mass of 0.8 kilogram
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The power required to pump 20000 L oil is 1962 watts.
Explanation:
Power = hAγQ
Where:
- hA = energy added to the fluid [m]
- γ = specific weight of the fluid [N /m^3]
- Q = volume flow rate [m^3 / s]
Solution:
Q = (20000 L/hr)(m^3 / 1000 L)(hr / 3600 sec) = 0.005556 m^3 / sec
γ = ρg
Where ρ is fluid density and its unit is kg / m^3.
γ = ρg = (0.8 kg / L)(1000 L / m^3) (9.81) = 7848 N / m^3
Power = hAγQ
P = 45 x 7848 x 0.005556 = 1962 watts
Thus the power required to pump 20000 L oil is 1962 watts.
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