Assignment 1 (2023W1)

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University of British Columbia *

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471

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English

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Oct 30, 2023

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1 CHBE 471: Assignment 1 Due on Canvas 11:59 PM September 26, 2023 Total: 75 marks 1. A pump with a 64% efficiency is used to deliver water at 18 USGPM, starting from a reservoir at atmospheric pressure to an open-air tank 3 km away. In the reservoir, the water level is at an elevation 600 ft above sea level. The water level in the tank is at an elevation of 567 ft above the sea. A 3-inch diameter pipe is being used and frictional losses (e f ) are 270 J/kg. a) What is the minimum required horsepower for the pump? ( 5 marks ) b) If the water level in the reservoir is fixed, at what water level in the tank (elevation in ft above sea level), would you not need a pump? ( 5 marks ) 2. A tank sits on the ground and is held at a pressure of 120 kPa, maintaining a fluid level of 3.6 m. The fluid, which has a 720 kg/m 3 density, exits the bottom of the tank through a 5-inch, sched. 40 pipe at 5.2 kg/s and enters a pump, which is also at ground level. The pipe has a frictional loss of 25 J/kg. The pump has 60% efficiency and a power of 1800 J/s. The fluid exits the pump through a 4-inch, sched. 40 pipe, with frictional loss of 45 J/kg. The pipe goes to a final point above the original tank level, where the pressure is 220 kPa. a) Sketch the system, numbering the different sections to assist your calculations. ( 3 marks ) b) What is the pressure at the inlet of the pump? ( 5 marks ) c) What is the velocity at the final point in the outlet pipe? ( 2 marks ) d) At what height above the ground is the final point in the outlet pipe? ( 5 marks )
2 3. Acrylic acid at 89 °C and 0.16 kPa (ρ= 970 kg/m 3 , μ = 0.46 cP) leaves the bottom of a distillation column at a rate of 1.5 L/s. The bottom of a distillation column may be assumed to behave like a tank containing vapour and liquid in equilibrium at the temperature and pressure of the exit stream. The liquid must be pumped to a supply tank 4 m above the liquid level in the distillation column, where the pressure must be 116 kPa. The liquid level at the bottom of the distillation column is 3.5 m above the pump suction line, and the frictional head loss for the suction line is 0.2 m of acrylic acid. The discharge line is 1.5-inch, sched. 40, commercial steel pipe, with an equivalent length of 200 m. There is a cooler (heat exchanger) after the pump with a pressure drop of 3.5 m of acrylic acid. The entire process may be assumed to be isothermal at 89 °C. a) Based on a pump/system curve analysis, can this portion of the process be scaled up by 20%? What is the maximum scale-up percentage? ( 15 marks ) b) Based on an NPSH analysis, is cavitation an issue at 20% scale-up? What is the maximum scale-up percentage without cavitation? ( 15 marks ) The plots required for this analysis are provided below.
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4 4. Methane has the following thermophysical properties at 25 °C: μ = 1.107x10 -5 Pa.S ρ = 0.657 kg/m 3 Cp = 35.8 J/mol.K Cv = 27.4 J/mol.K MW = 16.04 g/mol Your plant is supplying methane at this constant temperature to another plant 300 m away through a 5-inch, sched. 80, commercial steel pipe. You can assume turbulent flow. The methane leaves your plant at a pressure of 800 kPa. The receiving plant’s methan e tank pressure is 410 kPa. a) What is the critical pressure? ( 4 marks ) b) Will the flow be choked? ( 1 mark ) c) If the methane is metered at atmospheric pressure (101.3 kPa) and 25 °C, what’s the volumetric flow rate of the gas? ( 10 marks ) 5. Polyethylene oxide has the unique ability to “pour itself” out of a glass. Imagine you had to transport this fluid through a chemical processing plant. What equipment would you use? Research the fluid’s relevant properties and use these to explain your reasoning. ( 5 marks )

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