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Unformatted text preview: CHAPTER FOUR CONTROL VOLUME ANALYSIS USING ENERGY ale PR06EEM 4.4 MA): A fink con-lambs Ammonia developsa leak. '{kt ammovflm escapes atawnsfnwt macflow mfe, ELMD! Pei-ermfne H19. {whoa at which. haJF Hue, mass has escaped and the. Pressure in H42 Mahat- Hnai Hine. 6c MM“; t («wag DATA: g (I) The. con-fro! volume is shown on Hue Accompanflma gliag ram. (7.) The {amperque in Hue funk mmaius camfant. (3) The. volume 16 what. ANAWSIS: A-Pplgfig #12: mass rude. baJamce fifiy=—me=—00q Qb Inhgrahhj’ aVer {-13:42 fm‘fli) ft' dt 00% t w' = — = —- . MWCO) cv cmc 5 lv‘ '1': a M370” _ mutt)- mwco) t _ (*0-0‘4 ka/s) From Table A-IS‘J 'U'. =o,l'1'120vn3lk5. Thug-Hm inih'alwms is Maya“ = 7%. 32.921 ha I M mm = i MWCo) : (.qu k5 Thu (.441! -— 1.23.; k t =—(—-—————-1 3 :33?) s t (-0.0% k515) Now, To get 1’7. , de+erm€vxe “-72. .. ._ ’ 3 v1 - mm 0.33% ml” |V\'\-ev~(26\a.+\3/\3 in Tabkh— 503: T1: 40 °c.,u,_=0.3sw M«3/15 +5 PJZOQLE M Li . 10 [$520th Sepavcd-e, Sheams CF «Medu- and e-Hnfijleme fill/JCO‘ (3 l5 c0!) mixfio .Corm a alkali mix-hue. +Im+ I's Mal-fl glgcal log mass. Dad-ex are given -For Me mlcf flows. fuébi Dehrm‘he (a) flu molar and voluwejrw‘t. +lou) rates 0-? *Hae wkmj QMQCol. (b) the. diamei-ers 941 Ha supplj Mae. SCHEMAHC é GLVEM DA’TA‘. _ __ __ wdrcr: , foi—uxe: 50%, 315cc] kg was 77:20‘6 (I) 7’, = [bar I fw— 4.7. £1491 I I WIV‘ _ . _ (2—3 e-Hnukvne alxdcd W-fl- 2.5 Wi/S Mghdwl :(92.9'1 |‘g/(gmol figomgzngusmn The con+rol vaium Is at g I 1 -— (.115 f Sfiadfl duh .(2) The wafier «ml 3‘3“” 4“ 8 we ““3 end/x ‘mco Mpressible SMbS—lwnces. 494944515 : (a) To {Hid fie QHwI How mites) beam MW 0» Wag wdc loaLauce. A4- $+emh3 sink: V‘)‘. HI“, = \A'As. T—or- We m‘whre. 50°/oalacol =.‘> vi}: = 0-5 . ~ W33 W‘\=W‘7—' 50°/o wn’rer $3 ‘1’)!- =D.S W‘s New ~ _ k . hm: W’Muw a(”(.’z_ :“fi‘3(t8‘01%l3 : 75.198 kg/mm . M7. 75,68 kilm’m - -‘- ——-—‘ = 1 | ‘ n7- HQNt—d (92.07 ka/Kwon ”‘9 "m" /WM«——-——3“ Alsc>1w13rk vb. = 9M?) ‘ (Ag-‘31 : V“?- = L Sgkqul "”5 guzo :m Tame #1, «Jam» we 20% = LOOIB x10" uni/{<5 M3Hw=V1ruu>= r'7‘181 k‘jlm3. __ 75.b3 lcg/Wu'm ~ (A ) AN" _ ——_ _—_ ‘ m3 \T C )7- ,M15 0146.7.) leg/m3 O 0‘98 AW" 7. (b) The, area 6% MM; wad-9r suwuj fife 12A _ v§«. (jibfil; min) .mcm [oh 7‘ A“ ‘ — ’-‘ ——j—)——— _H m = 5. L! z 3mg“: (70183. l‘fl/M'é (25‘ “#5) b0 5 \ m 05 CM WW A = 1142/4 , _ 4A _ (065.054 um") _ 4; 7:4" 11 -—2.$4CW\, a, 5\;Mi\a.v‘\\j .{lo-r ‘HAQ akficd s+reaw~ , 13.9% \o‘* = , L 7. AZ‘U.I15)(7°18‘2)(2.5) 60 ”"3? M d1=’——4X47:33) : 2.4 cm <________________dz 4-23 PROQLEM 4.3! Emu; Afrcn‘rcrs +ke diH—usox oL-l- +Me inle‘i‘ o": cs 36: ehfit‘ne «w! decel- end-es +0 zero veloci+q Eel-ore eukn‘ng Hue je+ ekflfue‘s Compressor. FINQ'. De+evmim Hm fimpemkwe o-C er air aw‘urlkj 4M2 compressor. C EM COMP “2530 f‘ Aggumgnoug : (I) The confml volume. is a:(- shade! «n+2 . (2.) Head- ‘Hungé‘er- :1: n23“ iblz awd WW “-0 . (3) ’Po-fevvl-ial energy wed: awe. (D'negligible .(‘n TEe air- behave; 6L5 an Ideals“, A’NALYSIg‘. Slime h= “(1‘) for em {dead as file exit- +em era‘I-ure Cam be "found by evalucd-mj k2. Begfnn?n§)WL+k Hm s—I-eofig- s-hcd‘e energy balance. 0 o 0 O =/;Q<,_)K, “(a [(A‘_kz)+Qfi§_}§+jCE.-?sg where W}, =m,_ a m , and 145043 assmeHmcs) <9 =(h‘~k1)+ évr‘ or l/\,_ = L‘H‘ 31%.; From WM: 14-17.; InI : 18:3, lea-(kg , and: hi. = 2.8!.3 E; ‘- ihxtoby- EL: EhH—rkij—S‘FH gifn‘} = 519.4 tar/k5 Inmpolaunj "m Table A-ZZ; T.._‘-" 3m. K E 73 L The app'l'cabflfly 01F 'Hle ideal gas Model Can be checked by referewm +0 +lqe wmpress‘:bt'li+y chart 4-34 PROOSLEM '4'. HO ELEM! kinky-Haws "H/IV‘OLL7k a. hydraulh'c htrbnhe 9.12444 known confitEth-ns ad- fie 1-,. lei-MM exit The power oufpm‘ is «vecifid. FINQ: Dzi-ermz‘ne +ke mass flow Fade. ficHEMAa‘lc $ ale/5M DEA: Win The Can+rolvolum¢ is at s'fqfiy 51-May.) Hem‘ +413“?er n we. 3)CIMZ/k7es in m m re 53513 essay: From :‘nlef- fa epi‘tf‘ are reg/Igibleflfl KI‘MeHc energy can be 7| leafed a:l' +he [Mei (5) The acceler- a um a? 3va ‘15 camshwt 33 =28! mls‘: M0515: To {find fine was: How rode, begin 60.1444 Skaobd skde. mass and energg mfg balanCes o=rv\,—rfi,_=>vfi.=rh1=_nk 0 W . 9 . 0 _ z 0 =/&{y~ WM! + m [(b/LL) +X—Efi)+a (EU-Eta when Hue cot-(Mpg firm is cancelled because of asSumph‘m (3). Solvdnj . WCV W = ...\l" .. "21: + 3(al E2.) Inserh‘mg Values I3 Y.“ _ (500 LW‘) H 11:)! 6%2)155: +— (fi.8l%,,\(t0m)] A“ “(S kaym/s1 [o’N-ml = [olqoo L515 M 4-43 PROELEM we 3 W: Ali” and Rehiyeraut L2. pass in sepamfe Shawn: ‘Hamwjh a. hig exchanger. Dada. am known a++t1e I'nlcw‘and ezH- ofeach .5 am. ELM): 364187111142 (a) He mg; Flow rwfe o-F rergemu/t and (in) Me m+e 01‘ enema +ranchr- fmm +he air {we-Hus reFrc‘gem kt. ScmA-nc 4 Cull/EN "DA—TA: 4—— hmf excl/Ia hger E: Air ll - I E: z (AV‘E LEO MAB/Whm __> := ____> a T|=17°c=3ook == T7515 C =288K a: Ll bar :: F2=l bar- I! - 4 3 R-22 P“ “2,2; F; =7bcw T- , C X3=OJb ASSUMPTtOMS 2 (I) The c0n+rol Volume '15 Off Sfeawig sink. (2), Hea+ Jmaner from Hae aufst‘de af- fiae heaf exchanger LS negligiblemmd My =0. (3) Kuhefi'c and Pofenhhl c4601: can be neg/ecf‘ed.(‘{-) Tim ajr b_eLMVe$ a; an ideal aas,o.sc¢m be ven'fied b5 reFerence +0 H1: wmpressllaih'ly chart gamma; (0) The mass How mate e-F_ reHige/mut is defermmed usmg 61‘qu- s fa mass and energy halauces. Fursf, 5mce we air and reFrigemut flow as separaa‘e sfrmms w}, 1 W31 a Mair W3 = W"! 5 “41-22. Thug-H42 enema rode balance rszuCes as Follows . 0 O o :fifj/{LZ- film-r [(lflrI11.){'giffigzzzfl'fhke‘leLB-Lfi) Jig: +3943qfl AM ‘ lu- [41 “Ma-n = ‘W‘aar (m) The mass flow route J air is {lewd MSGAJ Adm 4+ We \‘hlef m4 'Hm. Mead gas (visual-Lam e1" Sfa’te . _ _ (Ar), _ Rm“). “W "V"? ' RT. - (1.1 bcvrS) (Ho Vina/M5“) Iolem" I la?!" ‘ [bar leN-m 9.31% K!" (18m 1233”” K‘ =1 51.“ kjlmim PRoeLeM km 3 (Ca—n94) From Table A—zz; 14.2300. m Ica'llca m4 hfaans NW5. FurPker; uSli/Ij (lain. Hum Table A~g _, ln3 = Inf” 7:; In“ = 38.oq+(.ce)(:qs.eo) = 37.3w kfrllcfi Awd,1‘rom TabIeA—‘y 3 [4“ =256.66 lch/ej. Thus 'M _(5H k] . Beam-2.81.6 nz—zz - .( 3 mm) (156-86 ~87.3L} = 3.3015 k3 (MCM‘______________________V_§‘B-zz Lb) Cons [dew a cam-rel volume emclosaiag leg Hm reFrigerawl' sh’eam o = chm + MR,” ( L34”) Q12—22 = Mia-21(Lw- L13) = (3mg kg/MCM 302.50.3(9 — 8‘1.3q)k1‘ll¢5 = (915.3 kG/miu 651242 COMMEMI’: Fora con-ho! volume enclosa'mg only We air skeam Qm'r = Mair (kt—L“) =Q5I.u kjlmuflz as. .5 ~3oo.1a)kT/Icg . . 2-61513 ICT/MCM TkMSJ alt-21. = - Qair J as cxpecfed. 4-7/ PRoBLEM +7 F" E“ owN Dad-x are prov.‘deel fiar A wth—jackefed Way-H7 FI'UEd w|.+b‘ elech cowa’aonen'l"! , whet» t5 a.+ Si—hndy Shkr F'___1~'D:'De+crmng +1“ MAKIMMM power mpud- ~l-a sad—«s Ly °~ ”M on 41“- +eu~peru+ur£ of 14% bud-"9" eKi-finj 4kg eucioxure. SCHEMRTIC a ezuzn Dan-A! ASSUMETIONSS 1. Tu... Can‘fYD( Voww shown uk-HM Rel/«MAW: is 4+ 94-min, th LEV—11s.. WW vatvmcl he»! Nuns-(v wv-fk m Surmouh‘wp‘ W miss/and A: um mvuxc/poknhv-l any-5.7 «(fax 3_ $r+k¢ was-kar- (D eN-‘NIM AM; ~9an ~I¢v Lawn-v.9; kzhetr) AMI—ms: A+ M7 s+..+¢, a. =.;\,_= v: . Am aura/v Alb-bastard: end ' - r S :fifi—w;v+ vanu-Lu) + (93:?) +3942)? “3““? quam—Mx) _. “4; mm «Jan 9m". T 9.2L. °C- We Z >m(k¢,(n° (.3 MW.“ c.)) 2 m, (“Noam-E (1+: ”will ® WW 2 {2.7% kW 6—“ l. Ammw‘wh, 61. 3.10 I) mark 6. (m... Tum, A—m cam \e usual 2,. BU 44w usual Sign comvwha'w WW represtrs Power cu’rggwt Hence 4M2 What/mi: on wider mguct cam be, “(Nessa al-l’e/Mcdwda m+erms 0'? WM . m%b¢'§k £6045, S'Q‘ Wu] (1A 0 :— \ w“! s arm kw +32 PBDBLE M 4-7.2. KNowU.’ 04+“ u. [MW-4.“ {w- A-l-kan-lm" ale/tweak,» aH-uckediuk ““54 {mm tut M) a. M-p‘M-M 144) aid-V01!” Mmrf. Opera haul"! n‘f Nada .shk- TIM. aubsl-«wcz 15 ”1.0. EIND‘. Dekrwu'nQ +|~o Mnagtk 4l4-ni-Hm5 Calwa‘IMcFr Wit #WG/‘WVG‘ Pfiv WWW ‘Hu AIM/Eu. u». ale Hm“ 44v 7uald‘1 7 S+~w l~£ 4""u~ r'pfi’w 4W “(HTWAdbsS‘ range it J-l-um 1a.],f‘l Vfilu-eg' , ScHtMfi‘th &GIVS:N ’Dfi‘lfl»: smues+ x. Iavguf' Y‘ (X, =l-O) 14 1'7 k¢$+ exv+ ‘ ‘f +emp. T1 &‘ (cu/85+ exi‘f‘ +emp. ’U' ASSUMPTIONS‘. 1. TIM can‘h‘al Volume emuun in +Ka fijum is 4+ 5+9“: SH‘k‘ 7. TN WPAMSI‘W Mugrx‘k Calowwel—‘r- Mk0“? 10W +k-r-H’("V‘j\ Mai! MM: hlxhlb UM “I: Mll-ex' (ha‘-h‘_l), M’Ab‘fs‘u.’ UHK ASSUM'IHM 7. M1391): lug-4.1. chat-A44) ‘0 Mute 4!“ 3+th- 9444-. Mi‘l- ls fixed ha T274” And 144...: muH- 1a.; Shva-JIJ Viv-par «Nu-“w: )u’vaa-l xahfta-d Vv-ruv, Also, «Hugh, X, “‘quer hubssm-n aqam uw,e7mlt8 /.O. Wan, +1341» T—v th‘asraml 1‘1“ [MSW “H- #u—fa—raHAN,7IT)_ coir-0361M?” +9 o~ sh” qualfh—l 0+ [-0.‘ TMC‘: I w.+kda.+k {TM (avg-ll. A'3) W EqWU h(Ti‘)P2) = hfl(9|) =2778J ‘altj Ia-kwd'wluh'wau. TMA—v 4—1" 0-! MP“ aim '1}: l5] 0C _ TN Aow'St Jase-f “W"‘hrtjfl/ “NH/“"44 11’ Sfiwmgd o mwwmmw alwi‘wehnfi’WWW' “1‘2“" KUIKJ and 72: 416 C" 5740311»- ._ _ h . ‘ _ _ . x, - M. H- 107:5 762:“ 0.; 034,7 k3|_ ha 291:.3 4-97 'PIZUBLEM 4-8 4- kNawM: Opens-kn dachx ~r< [de 15w- .'4 ‘a—Q held" 4d- S-kad‘f Sim—{'93 Prov 8 re: eWh POM—P PIND'. De-‘WMKL ‘f‘v Ml)- g M #Ahtfic‘r 541(14):an cow-MW chL +1“ surnvmhmj. A1“ gawk/“hi,“ “’“PF‘eW-f'z Pwfirwfiu. SCHiMfm c {ems/v TDAM: Relum aiI Heated air to from house house at T > 20°C p2 = 8 bar h2 = 270 kJ/kg Power input m compressor ,chle Outside air enters at 0°C Air exits at T < 0°C A5“:f““"’“‘“"5J “ CMMI Volume-r enact-“‘3 +l-— cow-r443!” “‘4‘rrk' Ajv-guw sud» 2—41» Md'cnww .4, :mfi 341+: z. ((1149sz mdpaI-en/‘n nergy e c to.“ be [3 Moved . . Q MR. A'UALYMI: (A) Fir—meow” TNMJB/ux: bdanu Lg 2 0 1 dcv ~ch +MKL Lht' hi.) +%fir1-+ 3%11.)J =3 (gm/3 Way—€- WKChL—lfll) firm-71“: A‘lz, '1‘: 9-42.06 Film-)3 H1 2 lealFa (TWA). Tm "3 «r6.- mu Mb lam” read! ”22,3”! Q'CV: (-2.51%!)‘fi-f—‘l-r- fiegflflmfi—anowg “21.43% .4— (b) To dehrm‘N‘fk» mafia-dead 1’1 pA—rforM—anu Harms-M ‘ , Quay ‘Ufli-‘ed 19:) 1k- ca-mcltpu- A-fnguam‘ +12 M. NNVK 4""ng. TM”: a“ “Way V/Lpb bslauuzm wgqu MR 41’“— mé¢ww u; xuqu-Nc‘: 2 , . o ._C¢W_%+ aim—hark??? arty/44.)] =5 Ow —- M&(l"‘5"41). Tumw-"l’k hae'hecra)=q"‘t‘“<=/I<ad MEG-“\(m-“fi-m):’“L‘Y‘J/M’“ Arm-Ma G144? uH’k chde: 9.5K“! “a cam“: “Fwd/M“ X: S'Jtle'nU/H“: 5.4.? @§$)\.%\ ‘ 4—619 ...
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