1
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ÍNDICE
1.
CONTENIDO
ÍNDICE II 1. INTR INTROD ODUC UCCI CIÓN ÓN.. .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ..... ...11 2. OBJE OBJETI TIVO VO.. .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ..... ...... ...... ..... ..... ...... ...... ...... ..... ..... ..... ....1 ..1 3. CONT CONTEN ENID IDO O TEMÁ TEMÁTI TICO CO.. .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ..... ...... ...... ...... ...... ...... ....2 .2 3.1. 3.1. FACTOR CTOR DE DE COMP COMPRE RESI SIBI BILI LIDA DAD D Z... Z..... .... .... .... .... .... .... .... .... .... .... .... ..... ...... ...... ...... ...... ...... ...... ...... ...... .....2 ..2 3.2. 3.2. TEOR TEOREM EMAS AS DE EST ESTADOS CO COR RRES RESPON PONDIE DIENTE NTES A LA CO CONS NST TANTE DE COMPRESIBILIDAD (Z)......................................................................3 (Z)......................................................................3 3.2. 3.2.1. 1. MÉTO MÉTODO DO DE DE REFR REFRAC ACCI CIÓN ÓN MOLE MOLECU CULA LAR R DE EYKMA EYKMAN.. N.... .... .... .... ..... ...... ...... ..... ...3 .3 3.2.2. 3.2.2. MÉTODO MÉTODO DE SAREM SAREM... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ....... ........ ........ ........3 ....3 3.2.3. 3.2.3. MÉTODO MÉTODO DE STA STANDING NDING Y KATZ KATZ... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ....... ........ ........ ........ ......4 ..4 3.2.4. 3.2.4. MÉTODO MÉTODO DE PITZER PITZER... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ....... ........ ........ ........4 ....4 3.2.5. 3.2.5. MÉTODO MÉTODO DE YAR YARBOR BOROUG OUG! !ALL ALL"" Y!.. Y!..... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ....... ........ ......5 ..5 3.2. 3.2.#. #. MÉTO ÉTODO CON CON BASE BASE A LA LA ECU ECUA ACION CION DE DE EST ESTADO DE REDL REDLIC IC Y KNO$G" R!K............................................................................................5 3.2. 3.2.%. %. MÉTO MÉTODO DO DE DRAN DRANC CUK UK!P !PUR UR&I &IS! S!RO ROBI BINS NSON ON"" DPR.. DPR..... ...... ..... ..... ..... ..... ...... ...... .....5 ..5 3.2.'. 3.2.'. MÉTODO MÉTODO DE DRANC DRANCUK UK ABOU! ABOU!KAI KAISEN SEN"" DA.... DA....... ....... ........ ........ ........ ........ ........ ........ .....# .# 3.2.. 3.2.. MÉTODO MÉTODO DE GRAY GRAY!SIMS !SIMS"" GS.... GS....... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... ....... ........ ........ .....# .# 3.2.1*. 3.2.1*. MÉTODO MÉTODO DE CARLILE!GI CARLILE!GILLET LLET"" CG......... CG.............. .......... .......... .......... .......... .......... .............. .................# ........# 3.2.11. 3.2.11. MÉTODO MÉTODO DE PAPA PAPAY Y........... ............... .......... .......... .......... .......... .......... .......... .......... .......... .......... ................ ....................% .........% 4. CONC CONCLU LUSI SION ONES ES... ..... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ..... ...77 5. BIBL BIBLIO IOGRA GRAFÍA FÍA.. .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ..... ...77
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1
INTRODUCCIÓN.
E+ ,- /,0,+, +/, 0, 67 8+8,/ - 960 6, 8:-8;- 6, -7 8+07+, 6, 8/,0<-676 Z" +;,0/ <=,> /+87- ,0 ,- 8+8,+ 6, ,00 + 0,/ /,7-?7 7 @/7+ /;+6676 8767 96 ,0 :0 70 ;+ /,0;,+ 7 ;, 8767 96 ;, 0, ,+8+7/7 ,0 7- 6,,+6, <707+,0 ,8;78+,0. E+ -7 <<-@/77 0, ,+8+7 ;+ -+ 6, ;+ 68;,+ 6." ,+ ,- 8;7- 0, ,0,887 :0 7 6,7--, 8767 96. E0 ; /7+, 07<,/ 8 87-8;-7/ -7 8+07+, Z 7 ;, ,+ ,- 7/, 6, -7 +6;0/7 ,/-,/7 0, 6,,/+7 /;, ,78,+ >7 ,07/ 0,6 7 ;+7 6,,/+767 /,0+" @,+,/7-,+, -7 7/ 7/, 6,- , >7 7 0,/ ;+ >7-/ -,=7+ 7 -7 8+68+ 8+68+ 709/87" 709/87" 7/7 07<,/ 8;:+ >7-, ,0, 7/:,/ ,0 +/6;86 -7 /,0+ 6, ,076 6,7- 7/7 ,>7-;7/ 7/7 /70/7/ ,0, 8/7,+ 6, ,076 6,7- 7 ;+ @70 /,7-. Z ,0 ;+ 78/ 8//,88+ +/6;86 ,+ -7 ,8;78+ @,+,/7- 6, -0 @70,0 ;,6, 0,/ <,+6 ,,/,+7-,+, 6>6,+6 ,- >-;,+ /,7- 6, + -,0 6, ;+ @70 7 ;+7 /,0+ ,,/7;/7 / ,- >-;,+ 6,7- 8;76 / -7 07 707 6, @70 7 8+68+,0 @;7-,0 6, /,0+ ,,/7;/7. E0, 00,7 0,6 7 ;+7 /,0+ 7/" ;, 0,/7 -7 /,0+ 6,- 78,+" >7 7 ,+,/ ;+ +;,> >-;,+" ,- +,/ 6, -,0 0, >7 7 7+,+,/" ,/ 7H/7 ,- 00,7 7 + ,0 ;+ 00,7 6, @70 6,7- 0+ 6, @70 /,7-" /;, -7 ;,/?7 6, 7/788+ 7,87 + ;,6, 0,/ ,/,076 7,:87,+, 8 P& +RT" 0+ ;, >7 0,/ ,/,076 8 P& Z+RT" 7@/;7+6 ,0 60 9/+ 70;,+6 ;, ,- +,/ 6, -,0 ,0 8+07+," R ,0 -7 8+07+, ;+>,/07- 6, -0 @70,0" ;, ,0 -7 07 7/7 7<0 8700 T ,0 -7 07 ,+ 7<0 8700" /;, ,070 70;,+6 ;+ 00,7 09/8" 6, 7- 7+,/7 0, ;,6, 6,,/+7/ Z. ,/ 8 7<9+ ;,6, 6,,/+7/0, / >7/0 96 8 0, ,+8+7/7+ 7 8++;78+.
1. OBJETIVO. •
C+8,/ C+8,/ -0 60+0 60+0 960 ;, ;, 0, ,+, 7/7 ,- 8:-8;- 8:-8;- 6, -7 8+07,
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2. CO CONT NTEN ENID IDO O TE TEMÁ MÁTI TICO CO..
2.1. FA FACTOR CTOR DE COMPRESIBILIDAD Z. E- 78/ 6, 8/,0<-676 (Z)" 8+86 7<9+ 8 ,- 78/ 6, 8/,0+" ,0 -7 /7?+ 6,- >-;,+ -7/ 6, ;+ @70 8+ /,-78+ 7- >-;,+ -7/ 6, ;+ @70 6,7- 7 -7 07 ,,/7;/7 /,0+J 7<9+ 0, 8+8, 8 -7 8//,88+ 7/7 -6,7/ -7 ,8;78+ 6, ;+ @70 /,7-,0 ,67+, -7 6,-78+ 6, -7 ,8;78+ 6, @70,0 6,7-,0. E0 ;+7 /,676 ,/6+:87 - 7/7 687/ -7 -, 6, -0 @70,0 6,7-,0 7/7 7=;07/0, 7- 8/7,+ 6, ;+ @70 /,7-. E+ @,+,/7-" -7 6,0>78 6,0>78+ + 6,- 8/ 8/7 7,+ ,+ 6,76,7- 0, >;,->, >;,->, :0 0@+ 0@+87 87> >7 7 ,+/, ,+/, :0 8,/87+ ,09 ;+ @70 7 ;+ 87< 6, 70," 0,7 ,+/ -7 ,,/7;/7 :0 @/7+6, -7 /,0+.
E0 6,8/ Z /,/,0,+7 ;+ 78/ 6, 8//,88+ 7/7 -7 ,8;78+ 6, -0 @70,0 6,7-,0. C+ <70, ,+ ,0 0, ,+8;,+/7 /,0 0 6, 8/7,+ 60+0 •
•
Z 1" 8 8/ /7 7 ,+ ,+ 6, G70 G70 I6,7 I6,7-.-. (7- (7-70 70 , ,,/ ,/7 7;/ ;/70 70 <7=7 <7=700 /,0+,0). Z 1" @70,0 8 ,- 6/@,+ N,+" 68-,+, 8/,0<-,0 (7-70 ,,/7;/70 /,0+,0).
Z 1" @70,0 8 ,- O2" A/@+ C4" :8-,+, 8/,0<-,0 (<7=70 ,,/7;/70 7-70 /,0+,0). L0 L0 /,0 /,0 00 6, 8 / /7 7, ,+ + ;, ;, 0, ,+8 ,+8+7+ +7+ ,+ /,7/,7-676 676 0+ 0+ 6,,+6,+,0 6, -7 ,,/7;/7 7 -7 ;, 0, /,7-8, -7 ,68+. •
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2.2. TEOREM TEOREMAS AS DE ESTADOS ESTADOS CORRESPONDIENTES CORRESPON DIENTES A LA CONSTANTE DE COMPRESIBILIDAD Z!. 2.2.1. M"TO M"TODO DO DE REFRACCIÓN REFRACCIÓN MOLECULA MOLECULAR R DE E#$MAN. E#$MAN. L7 ,8;78+ 6, ,0, 96 , <707 ,+ -7 0@;,+,
D+6, EMR /,/,0,+7 -7 /,788+ -,8;-7/ 6, E7+ + ,- +68, 6, /, /,/788 /788 + + 6,6,- @70. @70. M 0,/ 0,/7 7 ,- ,0 ,0 -, -,8; 8;-7 -7// 6, -7 0;0 0;07+ 7+8 87 7 @70 /,0,8>7,+, -7 6,+0676.
2.2.2. 2.2 .2. M"T M"TODO ODO DE SAR SAREM. EM. E0, 96 0, <707 ,+ -7 6,,/+78+ 6, Z ,67+, -0 -+0 6, L,@,+6/, 6, @/76 * 7 5" -7 ,8;78+ <:087 ,0
L0 -+0 6, L,@,+6/, 6, @/76 * 7 5 0+ -0 0@;,+,0
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2.2.3. M"TO M"TODO DO DE STANDING STANDING # $ATZ. $ATZ. E0 ;+ 6, -0 960 :0 ;-7/,0 7/7 ,- 8:-8;- 6, -7 8+07+, 6, 8/,0<- 8/,0<-676 676
6, @70,0 6;-8,0 ;, 8+,+@7+ 8+,+@7+ ,;,70 ,;,70 87+676,0 87+676,0 6,
@70,0 + H6/87/<;/ H6/87/<;/0" 0" ,- 96 96 0, <707 ,+ 8:-8;-0 8:-8;-0 @/:80 @/:80 6+6, Z ,0: /,/,0,+767 @/:87,+, ,+ ;+8+ 6, /,0+ ,,/7;/7 /,6;867 :0 8+,+, 0,;6//,6;867" 7<9+ 0, -0 ;,6, 7-87/ ,+ @70,0 7@/0 ;,6, ,-,7/0, H707 1**** -87" 8+ 6,0>78+,0 6, 1.
2.2.4. 2.2 .4. M"T M"TODO ODO DE PITZ PITZER. ER. E+ ,0, 870 ,- 96 6, P?,/ + +687 ;, ,- 78/ 6, 8/,0<-676 0, 87-8;-7 8+ -7 0@;,+, ,8;78+
D+6, Z ZQ 0+ ;+8+,0 6, /,0+ ,,/7;/7 /,6;8670" ,00 0, ;,6,+ <,+,/ 6, 7<-70J ,0 ,- 78/ 789+/8 6, P?,/ ;, ,0: 6,+6 /
D+6, P/ (/,0+ (/,0+ 6, >7/ /,6;867)PP8" /,6;867)PP8" 7/7 ;+7 ,,/7;/7 ,,/7;/7 /,6;867 6, T/TT8*"%. E- 78/ 789+/8 0, 8+06,/7 8 ;+7 6,0>78+ 6,- 8/7,+ 6, ;+ -;6 0-,. L 8;7- 7/7 ;+ -;6 0-, 0, 8+06,/ *.
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2.2.5. M"TO M"TODO DO DE #A #ARBOROU RBOROUG%&%A G%&%ALL' LL' #&%. #&%. E0, 96 0, <707 ,+ -7 0-;8+ 6, -70 0@;,+,0 ,8;78+,0 7/7 6,,/+7/ -7 8+0 8+07 7+ +, , 6, 8/ 8/,0 ,0< <--67 676 6 Z. 7- @;7@;7- ;, ;, 7-@; 7-@;+ +00 96 9600 0, ;,6 ;,6, , /,0->,/ ,67+, /@/770.
2.2. 2. 2.(. (. M" M"TO TODO DO CO CON N BA BASE SE A LA EC ECUA UACI CION ON DE ES ESTA TADO DO DE RE REDL DLIC IC% % # $NO)G' R&$. E0, 96 0, <707 ,+ -7 0-;8+ 6, -7 0@;,+, ,8;78+" ,8;78+" ,0 ;+ 96 7+ 7+ 7/7 @70,0 6;-8,0 8 7@/0
P7/7 -@/7/ /,0->,/ -7 ,8;78+ 0, ;-?7+ ,8;78+,0 768+7-,0 ;, 0+ -70 6, R,6-8H!K+@" R!KJ S7>, R,6-8H K+@ (SRK)J P,+ R<+0+ ,+/, /70.
2.2.7. M"TO M"TODO DO DE DRANC%U$&PUR DRANC%U$&PURVIS& VIS&ROBIN ROBINSON' SON' DPR. E00 7;/,0 H8,/+ 7=;0, 6, -7 ,8;78+ 6, ,076 B$R 7/7 /,/,0,+7/ -7 @;/7 6, S7+6+@!K70 ,08/<,/+ -7 ,8;78+ 6, B$R 6, -7 0@;,+, 7+,/7
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2.2.*. M"TO M"TODO DO DE DRANC%U$ DRANC%U$ +ABOU&$A +ABOU&$AISEN' ISEN' DA. DA. E0 ; 0-7/ 0-7/ 7- 96 7+,// 7+,// DPR" 0- ;, 7 6,/,+87 6,/,+87 ,0, 96 ;-?7 -7 ,8;78+ 6, ,076 6, S7/-+@ -7 ,08/<, 6, -7 0@;,+, 7+,/7
2.2.,. M"TO M"TODO DO DE GRA# GRA#&SI &SIMS' MS' GS. E0, 96 /,;,/, ;+ 8;76/ 7 ;, ,0 +,8,07/ 7-78,+7/ ;+7 7/? 6, -0 >7-/,0 6, Z 6, S7+6+@ K7?" 0, 7-87 ;+ +,/>7- 6, T/ P/ 6, 1"5T/ 3"* *"*P/15"*" 0+ ;0760 ,+ ,0;,70 6, +,/-78+ 7/7 8;7/ >7-/,0 6, Z.
2.2.1-.
M"TODO DE CA CAR RLILE&GILLET' CG.
L0 >7-/,0 6,- @/78 6, S7+6+@ K7? ;,6,+ ,/,07/0, 8 ;+ 0,/, 6, - -+ + 0 0 ,+ ;+8 ;+8 + + 6, -7 /,0 /,0 + + 0,;6 0,;6/ //, /,6; 6;8 867 67 8+ 8+ - -+ + 0 0 6, ,,/7;/7 0,;6//,6;867 8+07+,0" 7-,0 -+0 0,,+ 6,/,+, @/76 + 7/,0 6, ' 0, ,0/;8;/7 6, -7 0@;,+, 7+,/7
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2.2.11.
M"TODO DE PAPA#.
E0 ;+ 96 ; ;076 ,+ ;+@/7 ,-,7 -7 0@;,+, ,8;78+ ,+ ;+8+ 6, P/ T/
S; 8:-8;- ,0 6, 78-676 ;, H707 0, ;,6, /,7-?7/ 8+ 87-8;-76/7 6, 7+.
3. CONCLUSIONES. •
L0 960 ;, 0, 6,/+ 7 8+8,/ 7/7 ,- 8:-8;- 6, -7 8+07+, 6, 8/,0<-676 Z 0+ <707+, 7-0 6, ,-87/ 7 ;, 8767 96 /,;,/, 6, <707+, 8:-8;- 7-878+ 6, ,8;78+ ,0 6, ,076.
•
P7/7 ;+ ,=/ 8+8,+ 0, 6,<, /,7-?7/ ;+7 +>,0@78+ 6, -70 ,8;78+,0 6, ,076 ,+ -70 ;, 0, <707 -0 960 7-@;+0 6, ,--0.
•
E0, 7+ 8 960 6, ,8;78+ ,0 6, ,076 8 960 @/:80" 7 0; >,? 7-@;+0 960 /,;,/,+ 6, ;+ 8;76/ 7/7 7-78,+7/ -0 670 <,+60 7 ;, 0+ <707+,0.
4. BIBLIOGRA RAFÍ FÍA A. •
H0,0.08/<6.8681*4544%2P/,0,+78+!G70,0!R,7-,0
•
H.0.;8.8-=7-7/015238-70,02*@70,02*/,7-,0.6