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13 Pages

### lect_22_ideal_gases

Course: ME 361, Fall 2008
School: Wisconsin
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Word Count: 548

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Properties of &lt;a href=&quot;/keyword/ideal-gas/&quot; &gt;ideal gas&lt;/a&gt; es / liquids / solids &lt;a href=&quot;/keyword/ideal-gas/&quot; &gt;ideal gas&lt;/a&gt; es (and sometimes liquids / solids) are `special cases' where properties behave in relatively simple ways `special cases' As an example, consider the &lt;a...

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Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Properties of <a href="/keyword/ideal-gas/" >ideal gas</a> es / liquids / solids <a href="/keyword/ideal-gas/" >ideal gas</a> es (and sometimes liquids / solids) are `special cases' where properties behave in relatively simple ways `special cases' As an example, consider the <a href="/keyword/ideal-gas/" >ideal gas</a> law, Pv=RT. This law is plotted in red. Note the behavior is simple compared to the true behavior in blue. Note also that the blue and the red curves converge far above and to the right of the vapor dome. In general, superheated vapors far from the vapor dome will behave as <a href="/keyword/ideal-gas/" >ideal gas</a> es, and will exhibit this simple behavior. The problem with special cases Because Pv=RT is simple to compute, the book does not list specific volume, v, in tables for <a href="/keyword/ideal-gas/" >ideal gas</a> es. See for example table A-17. Then, although it is simple, it is still harder than if they just listed it in the table, because you have to do a computation (however, on the plus side, you do not have to interpolate) EES and special cases Since EES allows property lookups for special cases and nonspecial cases alike, this is all behind the scenes. Therefore, these special cases are sort of transparent in EES. However, you will see special cases show up in EES, for example, like this: To remedy the above warning, you just drop the P specification in the parentheses. In the same way that Pv=RT is a simple relationship, h and u are both simpler than the general case for <a href="/keyword/ideal-gas/" >ideal gas</a> es: they are functions of temperature only. EES wants to remind you of that, that's why it doesn't want other properties besides temperature to be input u = u(T) for an <a href="/keyword/ideal-gas/" >ideal gas</a> You can see that u is independent of pressure in the <a href="/keyword/ideal-gas/" >ideal gas</a> zone (far from the vapor dome) in the plot. Also note that there are actually 5 regions labeled in this plot rather than the usual 3 of compressed liquid, saturated mixture, and superheated vapor h = h(T) as well for an <a href="/keyword/ideal-gas/" >ideal gas</a> since h = u + Pv and Pv = RT. You can see u = u(T), h = h (T) in table A-17. How far from the vapor dome does a gas become an <a href="/keyword/ideal-gas/" >ideal gas</a> ? It depends upon how good you want the <a href="/keyword/ideal-gas/" >ideal gas</a> approximation to be This Figure is 3-49. The numbers are: Biggest numbers here are near the critical point, but even bigger numbers would show up for liquid Straight lines on property plots are a sign of a `special case' Each of the straight lines in the P-h diagram for water represents some kind of special case. There are 3 different straight lines here. What does each mean? <a href="/keyword/ideal-gas/" >ideal gas</a> formulas (1) (approximate) (approximate) Three ways of calculating u <a href="/keyword/ideal-gas/" >ideal gas</a> formulas (2) (approximate) (approximate) Property relations for isentropic processes involving <a href="/keyword/ideal-gas/" >ideal gas</a> es Other special cases This presentation has focused on <a href="/keyword/ideal-gas/" >ideal gas</a> es but there are also formulas for special-case liquids and solids, see e.g. section 4-5 pg 189 and section 7-8 pg 357... What should I study relative to property calculations on exams? I will generally give you tables (e.g., problems involving steam) If I gave you a problem that required you to use formulas to calculate properties, I would lead you through it. If you can do steam problems on paper and air problems in EES you should be fine.
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Wisconsin - ME - 361
6-86 An inventor claims to have developed a heat engine. The inventor reports temperature, heat transfer, and work output measurements. The claim is to be evaluated. Analysis The highest thermal efficiency a heat engine operating between two specifie
Wisconsin - ME - 361
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Wisconsin - ME - 361
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Wisconsin - ME - 361
practice exam 3 This problem turned out to be too hard for the exam, so don't get scared off by it, but it will give you a flavor. consider a Carnot cycle as shown in the figures below:Assume this cycle is executed on M = 0.01 kg of air in a closed
Wisconsin - ME - 361
6-103 A heat pump maintains a house at a specified temperature. The rate of heat loss of the house and the power consumption of the heat pump are given. It is to be determined if this heat pump can do the job. Assumptions The heat pump operates stead
Wisconsin - ME - 361
Homework #5 traditional part Due Wednesday September 24, 2008ME 361 - ThermodynamicsFall Semester 2008{work all these problems on paper. you can check your work using EES if you want but hand in only the by-hand-work-on-paper part and be sure y
Wisconsin - ME - 361
Final Exam Due by 6:00 PM, Friday Dec 19ME 361 - ThermodynamicsFall Semester 2008This is to be your own work. Absolutely no collaboration / teamwork with anyone is allowed. If you are working on this in a computer lab or similar environment, you
Wisconsin - ME - 361
Exam 3 problems &amp; data this sheet NOT GRADED Nov 25, 2008ME 361 - ThermodynamicsFall Semester 20081] {60 points} Consider the ideal cycle shown on the P-v diagram below. This cycle is to be executed on air in a closed system in a free-piston/c
Wisconsin - ME - 361
Homework #3 traditional part Due Wednesday September 17, 2008ME 361 - ThermodynamicsFall Semester 20081] {work this problem in EES} Ethanol can be consumed by humans as well as used as a fuel in engines. As a beverage, ethanol has 200 calories
Wisconsin - ME - 361
Homework #15 (traditional part) Due Monday, November 24, 2008ME 361 - ThermodynamicsFall Semester 20081] Consider an ideal Diesel cycle with a cutoff ratio rc of 1.1 and a trapped mass of 0.01 kg. The lowest temperature and pressure in the cycle
Wisconsin - ME - 361
Homework #2 traditional part Due Wednesday September 10, 2008ME 361 - ThermodynamicsFall Semester 20081] Steam flowing at V1 = 4 m/s enters a chamber through a pipe of diameter d1 = 20 cm at P1 = 10 bar and T1 = 450 C. The chamber is steadily g
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OH absorption spectroscopy in a flame using Spatial Heterodyne SpectroscopyRenata J. Bartula,1 Jaal B. Ghandhi,1 Scott T. Sanders,1,* Edwin J. Mierkiewicz,2 Fred L. Roesler,2 and John M. Harlander31Department of Mechanical Engineering, University
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Wisconsin - ME - 770
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Wisconsin - ME - 363
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Wisconsin - ME - 363
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Wisconsin - ME - 363
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