Psychrometrics. 1) Ideal Mixing 2) Ideal Gas Air 3) Ideal Gas Water Vapor 4) Adiabatic Saturation

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1 Psycretrics Idel Mixing Idel Gs Air Idel Gs Wter Vr 4 Adibtic Sturtin

2 Idel Gs L IDEAL (PERFEC GAS LAW One( lef ny gs.4 liters SP AVOGADRO' S (t nd 0 BOLYES LAW CHARLES LAW lecules/le f C LAW gs t R V R - bsluteressure, si,kp - bsluteteerture, R * R leculr eigt * lbf/lb R R lble * kj kp R 8.4 r kle K kle K ss les Mleculr Weigt n Mleculr Weigt R, K * R * V nr

3 e secific lue f t 75 F nd4.7 si R.476 ft 5.5 ft lbf/lb R 4.7 lbf/in 44 in /lb ( R 75 F /ft e secific lue f t 4 C nd0.5 kp R.87 kp.847 /kg /kg 0.5 kp ( 7.5 K 4 C

4 J Cefficient cnstnt 4

5 Secific nd Reltie Huidity Bsis f ss ter r Secific Huidity, Mss Frctin, ss dry ss ter r ss dry 9 clcultin -lb 8 ( ctul ss ter r Reltie uidity φ ss ter r t sturtin ctul ss ter r φ ss ter r t sturtin φ g H H bient g H (.44 c dry, kg dry V R V R (.4 BU/lb ter dry ter V R V R, kj/kg c MW MW sturtin dry c ter 5

6 Metric Psycretric Crt Mrn ble A-9, A-9E 6

7 Gien, breter 00 kp. Find : 5 c secific uidity, b secific lue φ g φ g kp t kp b.6 9 t c R /.87 r ( ( kp K C, φ 50 %, ( R 89.5 K.84 kg/ / K kp 89.5 K.84 kg/

8 Gien:lbist, Find: φ t lb ter / lb V V R V d g si 8 9 φ, V R V R V R t 50%,breter 4.69si ω, t,, 75 F, 5.5 ( ft 44 ( ( ft 5.5 ( ft lb ( lb ter / lb dry F dry (ceck.07lb Psycretric Crt.09 lb ter/lb dry 8.5 BU/lb dry d F ft / lb 8

9 Adibtic Sturtin g bsis f Stedy Fl Energy Equtin E r in E ter dded E r ut ( ( c( ( f fg c( ( f fg c( ( f c ( substituting, clcultin ss fg ( f fg unit dry fg 4 fr 75F,70 F 4 sturtin r f @ 0 F.44 g 0 s BU/ lb dry 09.9 BU/lb dry BU/lb dry BU/lb dry g ( ( ( Exct 4 esiest t use, st ccurte 9

10 Adibtic Sturtin bsis f clcultin ss unit dry Stedy Fl Energy Equtin E r in ( ( c( ( f fg c( ( f fg c( ( f c ( E ter dded E r ut substituting, fg ( f fg fg 0

11 95 F 65 F 4.7 t Secific Huidity? 65 F ω( ( ( ( t g f fg sturtin ( ( fg c ( ( sturtin f ( ( g 95 F.0 lb ter /lb dry ( ( lb ter /lb dry

12 g f 0 g 4 s 4 sturtin r @ 0 F.44 g, ( ( ( fr 75F,70 F BU/ lb dry 09.9 BU/lb dry BU/lb dry BU/lb dry Exct esiest t use st ccurte

13 Air t 40 F, 5F is eted nd uidified t 70 F, 40 % reltie uidity t 4.7 si. Find te ss f ter dded. 40 F 5 F g 5 F g c( g fgt 5 t 40 t 5 ( lb ter/ lb dry l ter dded.6 φ g t in Hg lb ter lb dry -0

14 USCU Psycretric Crt 4

15 φ t r ENHALPY SPECIFIC r t RELAIVE φ SPECIFIC 8 9 ( r g r r fg r VOLUME R ( HUMIDIY.6 c R ( r HUMIDIY r ( t liquid r r ( ( ( (4 (5 (6 Build Psycretric Crt select reetedly select nd it find it find it find it it φ nd r, nd t fr fr ( fr ( find fr (4 r r ( by ittertin find fr (5 Cn HVAC Stte Pint Secifictins c c c liquid ter ter r Metric Englis

16 PSYCHROMERIC PROCESSES Heting-Cling ω Cling- Deuidifictin ω Mixing ω Huidifictin ω 6

17 Heting Cling cnstnt, cnstnt dry bulb H H dry dry dry, rying c H dry.4 ter dry dry c ter r ter, kj, BU.45, kj, BU eting eting dry bulb cling 7

18 8 Cling Deuidifictin SHF Sensible Het Fctr, ( ( ( c ( c c ( ( ( q ( - ( ( q H H H kg dry ter kg, cndenste ltent sensible sensible fg liquid r ltent dry ter liquid dry r ter dry sensible liquid liquid dry sensible liquid liquid liquid r ter r dry cndenste ter r dry rtus d

19 Cnditined Sce ter gin, H q q q sensible dry sensible dry ltent dry dry ( H R S ter r S S ss ter ss dry ( ter r ter r R r H c Sensible Het Fctr, SHF R liquid cndenste ( - R sensible dry ( R sensible R r ltent S S c S ter r S r fg R dry S - suly ( R S c liquid ter R - return, sce cnditins dry 9

20 Adibtic Huidifictin H sensible ltent ltent H ( sensible ( ( r r ( ( ter s H dry r dry liquid ter r ste uidifictin F ter 0 BU/lb 0 si ste 64 BU/lb 0

21 SHF SHF SHF q q q SHF q q fg fg fg fg fg fg fg s l s l s s fg l q l q s q

22 Mixing ( ( ( ( H H H ( ( ( ( c c q q

23 0 cubic eters er secnd f 0 C, 5 C is ixed it 6 cubic eters er secnd f t 5 C nd 8 C. Cute te ixture cnditins nd cre te t results fr te sycretric crt. Pt g g kp.0054 kg/kg 0.5 kp.875 kp c ( ( @.008 kg/kg.6 kg/sec c -0 c, 5 c 8.56 kj/kg ( 5 0 (.0054 kg/kg 489.kJ/kg.005 kj/kgk 50. kj/kg.0 kj/kg ( 0.5 kp.875 kp 0 /sec.87 kp /kg (7.5 0 (.875 kp 0 /sec.0668 kg/sec.465 kp /kg ( kg/sec t V R V R.005 kj/kg K kg/kg 59. kj/kg Crt, 0 g/kg.858 /kg 6 7 kg/sec.858 /kg 50.9 kj/kg Pt Clculted Mixing 5 C,8 C kg/kg kj/kg kj/kg Crt distnce fr int t int.6.65 in.686 in 9.48 red 6g/kg nd 0.5 kj/kg Mixing 50.9 kj/kg -6

24 4

25 5.8 BU/lb 4 BU/lb t 00 dry O, φ 0% r BU/lb dry O t 00, φ 60% BU/ lb dry 00 F 5

26 Cbined Prcesses - ixing, cling nd deuidifictin, reeting, cnditined sce. Outside R Return fr cnditinded sce After ixing ω After deuidifuctin S Suly S R S R ter 6

27 Cbined Air Prcesses O O R S S R 4 Winter - Heting Suer - Cling cl O 4 S Pre-et R Het Huidify 7

28 Nturl Drft Cling er Air ter r ut Ht ter Mss in t ter keu Cld ter ut cld ter keu keu ss ter in ss ter ut Blnce ( ut bl dn in in ut Air ter r in bldn Energy Blnce net energy lst by liquid ter energy gined by ter r 8

29 Cling er Exle 90 F 60% An ertie cunterfl cling ter rees 0 e teerturef rtend b tequntity f 0 F 6 0 F BU/r fr ter fl. te ter is reducedfr0 F t0 F. Air entersteclingter t 90 Fnd 60%reltieuidity,nd te leest 00 nd8%reltieuidity. Clculte te fl keuter. 00 F 8%,000,000 50,556 ss g90 F ( ( lb ter/lb dry lb 9 ( ter/lb dry Mss nd Energy Blnce ter,000,000b U/r Assue keu nd bldn t 0 F dry c.4 ( c ( ( ( ( ( lb dry /r drt ke u ( 5,504lb/ r ( 5,504 ( g90 F 00 ke u lb/r 9 F f 0 F

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