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MAE204_S11_Exam1_Solutions(1)

MAE204_S11_Exam1_Solutions(1) - MAE 204 Thermo Exam 1 ~...

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Unformatted text preview: MAE 204: Thermo Exam 1 ~ Part 1 Name: M é; Instructions: 1. 2. Print your name in the space provided. Carefully read each problem before beginning the problem. Show all work7 partial credit will be given for written work only Neatness is important for you to get all possible credit. No books, notes, or calculators allowed. All answers must be circled and have the correct units. If you need extra space, use the back of a page and make a note that you have continued elsewhere. Unless otherwise stated assume gravity is 9.8 m/sz. Unless otherwise stated assume atmospheric pressure is lOOkPa. Unless otherwise stated assume no change in kinetic or potential energy. March 2, 201 1 Salac AL4E720¢ Thenno,EkaH11—vf%rtl Phune Score /2 /2 /2 /6 Tbtal /25 Ilage 2 »' l x K ; z i i a MAE 204: Thermo, Exam 1 — Part 1 Name \A’f/V Page 3 / Problem 1 (6 points) An ideal gas at a pressure of 50 kPa and a temperature of 300K 1s contained in a rigid, well insulated vessel of volume 0.5 m3. What temperature will the gas be at if the same amount of gas at the same pressure is contained 1n a vessel 2 m3 in size? An ideA 3w obeys lair/’2 mlgfil! the.» LE MR T... \ P A». Since L} 2 m R 2;, :36 W ge‘l‘ T6; :1 l \ {3% Val, ll l3~ Pflbfia @[email protected] law) {EBHDQCngE L; {3% it.) "9 lQLé‘elL “W “cm: Problem 2 (7 points) Assuming the polytropic compression of a gas, determine the boundary work in terms of pressures, volumes, and the polytropic constant n. Note that you may not just list the final equation — You need to show the derivation. F‘Q’“ C1. E‘skly‘éfijph Emmi) $Vn: CgMfil‘fi-Il 2Q 7 1 K 9 W 1!! c, vim C, U M e ‘1 W" M“ rm ‘13 iiiii *‘MM 5: d .5“ l avail); ’1 g 1 \llal‘jgrmlp‘i/‘f “Wm—h ““W—«m MAE 204: Thermo, Exam 1 , Part 1 Name like ‘7 Page 4 / Problem 3 (2 points) Does the following cycle have net work out of or into the system? Justify you answer. > ‘ BN3 ”34% calm, talc: & reg/amp @ggfi. m £2 gefifi-flc “{El") {‘43)qu f3 P -- Ckmlt wiser nail? 52¢.ka- ‘ s F\\% i Q i at“: l \ t t { “a ELK”: 1cm Q A gfi’ecwxr films mg“: A 33 ”2&3 13$ \ CQUHEVC} 5% Cloth. Lair; "H‘K Rah bowl. F}, gm g Eg:~; ’1 mfigm :l /A NEW» “Hm E" A“ @2le 3:3 (56%]? —%r km WMNN”W‘M~”__// Problem 5 (2 points) At what point are the saturated liquid and saturated vapor states the same? Tm Qaltng fifamglfi MAE 204: Thermo, Exam 1 — Part 1 Name mail? Page 5 Problem 6 (6 points) A substance of a saturated liquid—vapor mixture with a quality of 0.5 un— dergoes a cycle: ‘ 1. Isobaric process to a saturatedW ngm‘ 2. Isochoric process to a superheated vapor. 3. Polytropic compression while remaining a superheated vapor. 4. isochoric process back to the initial state. On a pressure—volume diagram draw this cycle in relation to the saturation dome and indicate the amount of work associated with this process. @ MAE 204: Thermo Exam 1 A Part 2 Name: M € Z Instructions: 1. 2. Print your name in the space provided. Carefully read each problem before beginning the problem. Show all work, partial credit will be given for written work only Neatness is important for you to get all possible credit. You may use one textbook and one calculator. . All answers must be circled and have the correct units. . If you need extra space, use the back of a page and make a note that you have continued elsewhere. Unless otherwise stated assume gravity is 9.8 m/s2. Unless otherwise stated assume atmospheric pressure is .100kPa. Unless otherwise stated assume no change in kinetic or potential energy, March 2, 2011 Salac MAE 204: T hermo, Exam 1 A Part 2 Name Score /25 /25 /25 Total /75 Page 2 x ¢ , I K v I F MAE 204: Thermo, Exam 1 ~ Part 2 Name if? '87 Page 3 Problem 1 (25 points) A tank contains 0.0452m2 of oxygen at 300K and 15 MPa. Determine the mass of oxygen usrng: V: C: EQE’Q; m% T”:- $QQL F :2 % SSW fib Q? (17% \ngr" Problem 1(a) (10 points) Ideal gas law I rags gm. tam skis-MT «3 m: E} fmm “EJOKQ. 97'” Q; R; $373777 Ejigb “7‘4“" QKVSQW ng‘g; Thug mm m Wm MP} «W. ME) («mess id7gg kiligm it.) 2% Problem 1(b) (15 points) The compressibility chart. @2an Tslble figs-Pl 7:3,» 2 lwigilfi ism» '3‘“ S7733 NR g . Q ”m m T T) Th 3 lib-9’ fif‘fi MW? i7»: fig,“ 2% $99!? lemg gnaw Q‘i ii? 77795 game: 7%“; QWQZQ QMBCBRV‘ l‘f/KQEQL’EC @m , Gem 1 r ms} M E: €79 TEAM &€&Qu\g 5 PanAT mt) éifieu\:e%-s; Q CUS‘iQafgm 2% 27 QQQAMA :%&lJ&A :- QaChWQiEfig ié; mggib m: tit/a s (£5!er WBQQmeefie§ WM? @Umrxg (3R; Seami a} (£751 9% PW M 3"? L :2 R. Wm “H WT decimal; QR RTU" “EQ19Q’I KCfifigWa 3cm fi)U§%E%— V '1 «7’ ages Mac fit - @[email protected]®§\©@,gr> M jg?) MAE 204: Thermo, Exam 1 — Part 2 Name M {‘7’ Page 4 Problem 2 (25 points) A piston—cylinder device holds R—134a at an initial pressure of 400 kPa and a temperature of 40 OC. Heat is added until the specific volume is V = 0.07m3/kg While the pressure is held constant. Problem 2(a) (5 points) Determine the temperature of the final state. Qzfimjmlhg XPZRQQMBH Ale 14$th 97 gaivs'iil Umm " rim. (5:; (:3 amiss; We :2") gang \ l > gupflll‘QsAfQ UW' Prue/1 fixghi‘fi [Eycll m £94. £1?th 65% i3:— J‘M Will); Tr:— sewc, 1M “b :: messiah Mlle ‘1 T: CiQQC... View) (3 S: Q «(-3? la 33 M lg W W93 UQo°b m 3% (Day‘s; m $344qu Ck???” M gfibgfiv Qiget m T“ ‘3 “:1 QQFMOQCE‘ ”©10ggfi7ql‘33 M llfj {#531le $5,079.)?” ll) ; 10 ‘32., F g o - '1‘} a C. Problem 2(b (5 points) )Determine the work associated with this process. Al Censwh‘ @MAWQ “Hm mark. aefilik i§ mg: FPQQQJ‘“ (3‘5 .2: Qiosms‘i’ 33$) {aim male. m mesmemmgle} Wins 01 smmwflfila ism id? (1‘ A“ ”‘1 La > . ”N "‘ Mas s Lfgggig gillgeg - was it: lag as”. MAE 204: Thermo, Exam 1 7 Part 2 Name M 67’ Page 5 Problem 2(C ) (8 points) Using enthalpy determine the heat density required for this p1 ooess Eoefly ASAWLC $3M s.» wmhm “31 11m in r. 2123,sz ”its g: (“on“) in“) :1 23341.4 3;) tylfegs h 35:. gases % (\gllavl PEQALQQ‘) ’le W :1 @217 51:» ~— dwa 12$ng :Wsm by; H11 L. '1‘“ / Problem 2(d) (7 points) Determine the heat density required for this process by explicitly using boundary work. Em? halal/mu m: Cm 4% 2") Cw“ :2 @5944:ng by UM :2“ agar?) thlkj .1 ‘ mgfifl M&V(R%Lie§3+ ,m—I—Cgu—m ($315le ”levj/l) kiwi) MAE 204: Thermo, Exam 1 — Part 2 Name l/Lf/V Page 6 / Problem 3 (25 points) A rigid and well—insulated tank holds 2kg of a solid—vapor water mixture at —20° and a specific volume of 452 m3 / kg. An electric resistance heater with an efficiency of 90% is inserted into the tank The heater is plugged into an electrical outlet capable of providing 120V of electricity at 15 amps. Problem 3(a) (9 points) What is the initial pressure and initial quality? we mm. M was a (is; 5&th saws Waste enemm’ile h MW (he. Mg, Th”: (Fr; $§t§é=~xhg 2: l _ Y‘— C); will?» x133 . 7 7 ;E\%X>Q\GQEG%%‘> +><Ulfll£§l :HYQ‘ =2? lX: Gabi ,l Problem 3(b) (16 points) Is it possible to obtain all water vapor in the tank Within 30 minutes? Remember you need to justify your answer. Pl” Fish”) jfi‘gflk Mn}, {19 Maia? Lauri», l§lfiéuw leE§%%E:© :3") pm; bg‘lfirfigfl l\\> M: C33.“ E UH“: l/li—l— X U95 :ngj%s%%®8W{§3§ég$)> iylggj ll/lgl h§§gga ui: mw amfllfimlm: MAMQ; u: “ism Um :2 mug : 1C9; is itmaes mu} > ll will RES“, TM m m3 6%: limes” wasp}; la? : “23222)? b: :Qmaga hem 9&th Cl : Qéai :Wmvrg Est), (leggy :. {53m g emit E‘S‘a} {3e m a e; 3mm} :. gamma 3‘: gram 53%} late @sesA (SQWAQ \/Qo cm psi“ 8377 5 c,\\ uspm is (3’9 maxim, ...
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