2011 Exam 1 Solution

2011 Exam 1 Solution - MAE 5310: Fundamentals of Combustion...

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Unformatted text preview: MAE 5310: Fundamentals of Combustion Name: Exam #1 October 6, 2011 Exam is worth 100 points. Clearly articulate your thought process and problem formulation. The set-up of the correct governing equations and correct physical modeling principles far outweigh the actual numerical solving of the problem. Question 1 (5 points each): Answer each question as briefly as possible. 1. Consider the hypothetical exothermic reaction A + B —> C + D. Which has the larger activation energy, the exothermic forward reaction or its backward analog? 2. Why does the flame temperature for many fuels peak not at the stoichiometric value, but at an equivalence ration between 1.0 and 1.1? y x: flébgfi’ffl“ fflfizflf’ Mfi Wm’gX/j ifs/ya ‘“ /4~%fa:s‘ m My gar/grew? 77/7” 205‘? e” We?” éTfiWé’WK . 3. Determine the enthalpy of formation in kJ/krnol for methane, given the lower heating val of 50,016 kJ/kg at 298K. Answer this question using only the appendices in Turns. Question 1 (10 Points): Consider the production of the stable product, HCl, from H2 and C12. The following complex reaction mechanism is thought to apply: M ,+Clz,-/<: Cl +Cl +M 1 Cl+H2—)HCZ+H 2 H+HCl—->CI+H2 3 Write an expression for the change in C1 molar concentration with time. Write an expression that can be used to determine the steady—state concentration of the hydrogen radical. ‘ Question 2 (25 Points): In class we have commented that the oxidation of carbon monoxide with oxygen is a slow process relative to other reactions we have seen. To get a feel for how long the oxidation process takes, consider a closed chamber which initially contains 1,000 PPM of CO, 3% 02 (by volume), and the remainder is N; at 1,500 K and 1 atmosphere pressure. Determine the time it takes for 90% of the CO to react assuming only the elementary reaction: C0+02‘—>C02+0 with k = 2.5x106exp(-24,060/T) in units of (m3 gmol'l s'l) jflra/ 5"” MA? //J /f£/A;f£: iggfin/Vflfl‘fyflfjfif Question 3 (25 Points): You have decided to modify your Lamborghini Murcielago to run on propane fuel. When checking exhaust emission you notice that 3% (by volume) is 02. Assuming complete combustion, What (1) air-filel ratio and (2) What equivalence ratio was being supplied to your engine. Lamborghini Murcielago exhaust gas and climate test bed §§ \ @NKWW fit“ {SW/“‘MM Question 4 (25 Points): Examine Table 2.2 in Turns which shows the equilibrium compositions at various temperatures and pressures for CO2 ¢:> C0+§02 Part a: Verify if the value of AGOT correct for T=2,000 K. Part b: Calculate the equilibrium constant for the case of P=0.l atm and T=2,000 K. Part c: Calculate the equilibrium constant for the case of P=10 atm and T=2,000K Part (1: Does this reaction favor products or reactants? Extra Page flfll 7 5 Vf/Mf g??ng Wflwgfifgfi flfifiygfi? ...
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2011 Exam 1 Solution - MAE 5310: Fundamentals of Combustion...

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