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Question # 5 (17 marks) a. Briefly explain how the Bernoulli equation is derived. Discuss its...

Question # 5
a. Briefly explain how the Bernoulli equation is derived. Discuss its application in oil / gas productions, including its limitation. [4 marks]
b. The water level in a tank shown in Figure Q5b is 20 m above the ground. A hose is connected to the bottom of the tank, and the nozzle at the end of the hose is pointed straight up. The tank cover is airtight, and the air pressure above the water surface is 4 atm gage. Assuming the system is at sea level, determine: [5 marks]
i. The maximum height to which the water stream could rise.
ii, If the water level in the tank was 15 m, would the maximum water rise at the nozzle increase? Justify with calculation. (4 marks]
iii. If the gauge pressure increases to 5 atm for 20 m water level, show the formula of finding water velocity at the nozzle exit. [4 marks] 4 atm 20 m Figure Q5b

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