PracticeExam1Spring2024

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School

Georgia Institute Of Technology *

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Course

3322A

Subject

Mechanical Engineering

Date

Feb 20, 2024

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docx

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7

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Name:___________________________ ME 3322 Thermodynamics Practice Exam 1 February 13, 2024 This exam is closed book and closed notes. You are permitted to bring a one page, handwritten formula sheet. Formula sheets can be no larger than a standard letter size or A4 sheet of paper. You may also reference the symbols page, unit conversion page, and thermophysical property data from the course textbook or a printout of these pages. No additional notes are permitted on these pages. You may also use any scientific or graphing calculator which must remain disconnected from the internet for the duration of the exam. You will have 75 minutes to complete the exam.
Problem 1 (20 points) Problem 2 (20 points) Problem 3 (20 points) Problem 4 (20 points) Problem 5 (20 points) Total (100 possible / 100 points)
Problem 1 (20 points) As a measure to increase the efficiency of a steam-based power cycle, a portion of water vapor is routed from the turbine to an open feedwater heater to preheat liquid water prior to entering a boiler. Liquid water enters the heater at a pressure of p 1 = 15 ¯ ¿ and T 1 = 30 °C . Steam enters the heater at the same pressure and at T 2 = 400 ° C and mixes with the water. A saturated liquid-vapor mixture leaves the heater at a quality x 3 = 0.20 . a) Find the temperature of the exiting mixture, T 3 . b) What is the ratio of mass flow rate of steam to the total mass flow rate through the open feedwater heater ˙ m 2 ˙ m 3 ? c) Plot states 1, 2, and 3 on the T - v diagram below
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Problem 2 (20 points) A piston-cylinder assembly contains 1.5 lb of air, initially at 80 ° F and 1 atm . The air undergoes a constant-pressure process, during which the rate of heat transfer from the air is 4 Btu / h , resulting in a final air temperature of 40 ° F . Kinetic and potential energies can be neglected. Assuming ideal gas behavior with k = 1.4 for the air, determine the time, in minutes, associated with the process.
Problem 3 (20 points) A poorly insulated tank with volume V = 1 m 3 contains saturated water vapor initially at a pressure of 300 kPa . A line carrying steam at 1000 kPa and 500 °C is connected to the tank and 2 kg of steam are let into the tank through a valve until the final tank pressure is 500 kPa . a) How much heat is gained or lost by the tank of water during this process? b) Is this heat transfer into or out of the tank of water?
Problem 4 (20 points) An air conditioner extracts heat from a coffee shop and delivers it outside via a refrigeration cycle. The cycle contains the compressor shown in the diagram below. Refrigerant 134a enters the compressor at a mass flow rate of ˙ m = 1.03 lb / min and at an inlet temperature of T 1 = 0 ° F as a saturated vapor, and exits the compressor with an enthalpy h 2 = 130.25 Btu / lb . Assuming the compressor is well insulated and that changes in kinetic and potential energy can be neglected, calculate the power delivered to the refrigerant by the compressor.
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Problem 5 (20 points) A lead weight of mass m = 8 lb is dropped out of a ninth story window at an initial height of 90 ft above the ground below. The weight experiences negligible air resistance during the fall before impacting the ground. If the weight is at an initial temperature of T = 80 ° F , and assuming half of the energy of the impact is dissipated into the ground, what is the temperature of the weight after impact?