ME 322 – Mechanical Engineering Thermodynamics Final Exam Spring 2016 DO NOT TURN THIS COVER PAGE OR LOOK THROUGH THE EXAM QUESTIONS UNTIL YOU ARE INSTRUCTED TO DO SO. Please read the following statement: Article II, Section 1 of the University of Idaho Student Code of Conduct states, Cheating on classroom or outside assignments, examinations, or tests is a violation of this code. Plagiarism, falsification of academic records, and the acquisition or use of test materials without faculty authorization are considered forms of academic dishonesty and, as such, are violations of this code. Because academic honesty and integrity are core values at a university, the faculty finds that even one incident of academic dishonesty seriously and critically endangers the essential operation of the university and may merit expulsion. I have read and understand the above statement. ___________________________________________________ Signature ________________ Date ___________________________________________________ Printed Name (70 Points) ________________ Dr. Dan Dollars Collected EXAM INSTRUCTIONS – PLEASE READ THIS CAREFULLY You will have several days to complete this exam. You may use your notes, the online course resources, your computer (EES, Google, etc.) and pretty much any non-human resource you can find. You will also be allowed the use of “Dr. Dan Dollars” as outlined in the guide posted on our course schedule. Some problems will be open-ended calculations where you need to provide numerical answers. For these problems, make sure to attach all of your calculations (or EES code/output) attached (in order) to the back of the exam. For multiple choice questions, circle the correct answer(s). You also need to provide details about where your answer came from. There will be a maximum of 170 points on this exam (including extra points from “Dr. Dan Dollars.” 70 points are for putting your name on this page. Part 1: Engineering Calculations – each problem is worth 15 points Write your answer in the space provided, but reference any EES code and attach it to the back of the exam. You are designing a HVAC system for your house that is in a warm, humid climate. Air entering the HVAC system is at a dry bulb temperature of 95°F and 80% relative humidity. You would like the air circulating through the building to be similar to typical ambient conditions in Moscow, Idaho during the early summer, which is about a dry bulb temperature of 75°F and 40% relative humidity. You will use a cooling process (to remove moisture from the incoming air), then a heating process (to get the air to the desired temperature and humidity ratio). The incoming air flow rate to the HVAC system is 2000 cubic feet per minute. Answer the following questions: 1) Use the ASHRAE English Unit psychrometric chart (a copy can be printed from our BbLearn site, under the “Homework Solutions” menu) to draw the process. Clearly label the: a. Start point b. End point c. Path taken for these two processes. 2) Calculate the mass flow rate of water condensing out of the air stream (in lbm/hr)? 3) If the cooling unit has a COPR of 4.0 and the heating unit is electric (with efficiency of 100%), calculate the following: a. How much power will it take for the cooling process? b. How much power will it take for the heating process? c. If energy costs $0.10 per kW-hr, how much dollar/hr will it take to make this house feel like typical ambient conditions in Moscow? 4) You are working with a methane-fired boiler that needs to produce 3 x 10 9 Btu/hr of heat power. Assuming 100% conversion efficiency (from chemical energy to boiler heat) if you were burning a stoichiometric mixture of air and methane (CH4, which has a lower heating value of 21,400 Btu/lbm), what mass flow of air (in lbm, at standard pressure and temperature) would be consumed in the combustion reaction? Part 2: Multiple Choice – each problem worth 4 points 3-points are for showing your work that should have gotten you a correct answer 1-point are for choosing the correct answer Some problems may have multiple answers 5) An innovative power cycle is being designed to operate between heat reservoirs at 150 C and 55 C. What is most nearly its maximum theoretical thermal efficiency? A. B. C. D. E. 16% 22% 33% 48% 63% 6) At a given thermodynamic state for a pure fluid, the following properties are found in a table: T = 300K, P = 200kPa, v = .5500m3/kg, h = 1620kJ/kg, and s = 8.3500kJ/kg-K. The internal energy is most nearly, A. B. C. D. E. 885 kJ/kg 1455 kJ/kg 1510 kJ/kg 1730 kJ/kg 2500 kJ/kg 7) Which of the following do not change during a cooling process without dehumidification? A. Specific enthalpy B. Specific volume C. Wet bulb temperature D. Relative humidity E. Humidity ratio 8) A moisture sensitive part that has just been removed from a cold chamber and placed in an environment that has a dry bulb temperature of 60 F and a web bulb temperature of 50 F. Most nearly, what is the minimum temperature of the part to avoid condensation? A. B. C. D. E. 32 F 40 F 45 F 50 F 60 F Questions 9 – 11 refer to the following problem statement and array table for an air-standard Diesel cycle. P T 3 2 3 4 2 4 1 1 v s 9) The entropy production during the expansion stroke is most nearly, A. B. C. D. E. -.2864 Btu/lbm-F 0 Btu/lbm-F .0286 Btu/lbm-F .1635 Btu/lbm-F .2864 Btu/lbm-F 10) The compression work per unit mass of working fluid in the cylinder is most nearly, A. B. C. D. E. -244 Btu/lbm -176 Btu/lbm 0 Btu/lbm 176 Btu/lbm 244 Btu/lbm 11) The heat transfer into the cycle during the combustion process per unit mass of working fluid in the cylinder is most nearly, A. B. C. D. E. 176 Btu/lbm 244 Btu/lbm 571 Btu/lbm 749 Btu/lbm 837 Btu/lbm 12) Steam flows steadily through an adiabatic turbine. The steam enters the turbine at 900°F, 750 psia. The exhaust pressure of the turbine is 2 psia. A table of steam properties is shown below at several different states. The isentropic efficiency of this turbine is most nearly, A. 65% B. 76% C. 84% D. 92% E. 100% 13) For this reaction, the percent theoretical air is most nearly: Hint: keep track of the oxygen in the fuel C2H5OH 4.95 O2 3.76N2 2CO2 3H2O 1.95O2 18.61N2 A. B. C. D. E. 100% 124% 141% 165% 195% 14) The Mollier diagram (enthalpy vs entropy) below shows a turbine expansion process in a steam power plant. Which distance represents the actual work delivered by the turbine per unit mass of steam flowing through the turbine? (circle the letter on the chart below) P1 D. h 1 B. A. P2 C. T1 T2 2 2s E. s
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