Eq. Quimico 2012

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  • !"###"$%#"&!"###"$%#"""'$("#")"###""!#""'$("#")"###""!#""'$("#")"###""!#""'$("#")"###""!(##"%#"#"%"##"(##"%#"#"%"##""%"%"%"%

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  • ! " # $ # !%[]! "[]# & % #& !%

    [ ] [ ] [ ]RRR =

    12[ ] [ ] [ ]TR

    TTRR

    =

    12

    12

    [] '[]!()*[]# '[]!()*)

    +[ ]TR

    velocidad

    =

    +,-

    )

    T

  • FISICA45ESPACIO(M) FISICA V = 45/7

    35

    40

    45 FISICAVELOCIDAD

    V = ESPACIO/TIEMPO

    V = 45/7

    30

    35

    20

    25 V = 25/4

    10

    15

    V = 10/2

    5

    10 V = 10/2

    TIEMPO(S)

    2 4 7

  • .

    [ ] [ ] [ ]TP

    TTPP

    velocidad

    =

    =

    12

    12

    TTT 12

    )/))/)

    #

    [ ] [ ]PdRdvelocidad 1==

    #

    [ ] [ ]dT

    PddT

    Rdvelocidad

    21

    ==

    dDcCbBaA ++0) dDcCbBaA ++0)[ ] [ ] [ ] [ ]DdCdBdAd

    velocidad 1111 ====

    [ ] [ ] [ ] [ ]dT

    DdddT

    CdcdT

    BdbdT

    Ada

    velocidad 1111 ====

  • *+**+**+**+*

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  • 56789620670:68 9,8656789620670:68 9,86

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    -."/-."/-."/-."/

    7#!!&%"&!&7#!!&%"&!& 7#!!&%"&!&7#!!&%"&!&"$&!&&%"&&"$&!&&%"&&%!&&'&%!&&'&%!&&'&%!&&'&

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    :;:;11:89:89 6 6

  • ++,++,++,++,

    -""."/-""."/-""."/-""."/

    7$%-%2%&!!7$%-%2%&!!%2%2"&(#%"$"&$&&%2%2"&(#%"$"&$&&7$%-%2%&!!7$%-%2%&!!%2%2"&(#%"$"&$&&%2%2"&(#%"$"&$&&'&&'&&

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    84;

  • 23,324323,324323,324323,3243+ +++ ++

    52!"$$$%-%"#"%"!52!"$$$%-%"#"%"!52!"$$$%-%"#"%"!52!"$$$%-%"#"%"!!"!!%$$$!&!"!!%$$$!&&&&%&&&&%&&&&%&&&&%&

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    7!%- :>:=7!%- :>:=

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    ]] [[]] >>??[[

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    [ ][ ]DCK==

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    [ ][ ][ ][ ]BA

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    si C ==2

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    ::$=::$=

    3>?3>?[[

    ]][[]]3>?3>? [[

    ]][[==]]$$

    [ ] [ ][ ] [ ]ba

    dc

    CDCK =

    3>?3>?[[

    ]][[==]]$$ [ ] [ ]baC BAK = 6 6

  • ("#"%"('%56("#"%"('%56 77("#"%"('%56("#"%"('%56%%77

    ( ) ( )dc pp .( ) ( )( ) ( )cCaA

    dD

    c

    C

    pppp

    Kp.

    .

    = ( ) ( )CA pp ..

    B"C-CB"C-C

    ," /" 0,"1 1

    2 / 02

    2 / 02

    6 6

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    2

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    p p =!-.%!$!"&.&& =!-.%!$!"&.&&

    &" &" p V n R T = &" &" p V n R T = n R Tp

    V

    = [ ]Molaridad R T= pV

    = [ ]Molaridad R T= 2 2

    132 2[ ] (R ) (R )

    [ ] (R ) [ ] (R )

    = =

    P CSO TK K T

    SO T O T

    2 22 2

    (R ) [ ] (R ) [ ] (R )= = P CK K TSO T O T

    6 6

  • "'""6"'""6%%66"'""6"'""6%%66

    ( ) ( )dc pp .( ) ( )( ) ( )ca

    dD

    c

    C

    pppp

    Kpsi.

    .

    .............. = ( ) ( )cCaA ppKpsi ............... =,-!

    0-

    0- 6 6

  • "($%"($"68%"#"#"%"#""($%"($"68%"#"#"%"#""($%"($"68%"#"#"%"#""($%"($"68%"#"#"%"#"#""%"("%""9#""%"("%""9"":#""(#".("("":#""(#".("("":#""(#".("("":#""(#".("(

    =

    c dC Dp pK [ ] ( ) [ ] ( ) c c d dC RT D RT =

    C D

    P a bA B

    p pKp p

    [ ] ( ) [ ] ( )[ ] ( ) [ ] ( )

    =

    c c d d

    a a b bC RT D RTA RT B RT

    = ( ) nP CK K RT

    "##""##";""":#";""":#"

    = ( )P CK K RT "##""##";""":#";""":#""(#".("(5"(#".("(5%#(%#(

  • nRTKcKp = nRTKcKp = RTKcKp =

    6 6

  • Principio de Le ChtelierPrincipio de Le ChtelierSi un sistema que ha alcanzado el equilibrioqumico es perturbado (cambio de concentracin,qumico es perturbado (cambio de concentracin,T, P, V), reacciona oponindose a la perturbacin,de modo de volver a la condicin de equilibrio.de modo de volver a la condicin de equilibrio.

    N2(g) + 3H2(g) 2NH3(g)N2(g) + 3H2(g) 2NH3(g)

    6 6

  • Principio de Le Chtelier: Efecto Principio de Le Chtelier: Efecto de la concentracinde la concentracinde la concentracinde la concentracin

    6 6

  • Principio de Le ChtelierPrincipio de Le ChtelierN2(g) + 3H2(g) 2NH3(g)

    6 6

  • Principio de Le Chtelier: Proceso HaberPrincipio de Le Chtelier: Proceso HaberN2(g) + 3H2(g) 2NH3(g)

    6 6

  • ="%/ ("6% >???6"

    "'#")'#"!("'#")'#"!("""56;>$@@AB>?+@ABCCDD CC 6 6

  • *%"*%" ("#""#""'/("#""#""'/

    .7.7 00 5.75.7 !"?$AD>EF!"?$AD>EF:: ""00EE55.7.7 00005.75.7 !"?$AD>EF!"?$AD>EF:: ""%"('"""""%"""("%"('"""""%"""("9

    "#9

    "# >?'()"(#9>?'()"(#99

    "#9

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    ""'#"(.("(%#"(#"#/""'#"(.("(%#"(#"#/((/;?$?G0/;?$?G0HHHHII>> HH66II>>

    [ ] 10 0,38 p atm mol KN O M = = =// 00EE 0000

    [ ]2 4.

    10 0,38 R 0,082 318 inic

    p atm mol KN O MT atm L K

    = = =

    // 00EE 000055 77 ?$1G?$1G ??"5"5 77 ?$1G?$1G

  • , +++ +, +++ +++++

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    )%-&$%-)%-&$%- 6 6

  • J+J+,+,+,+,+

    + ++ AOHOHHA + ++ AOHOHHA 32[ ][ ]+[ ][ ][ ][ ]

    AOHKa 3+

    = [ ][ ]OHHAKa 2=

    [ ][ ]AOH +[ ][ ][ ]HA

    AOHKa+

    =3

    [ ]HAKa =

    6 6

  • J,+J,+,,

    + ++ OHRNHOHRNH

    ,,

    + ++ OHRNHOHRNH 322[ ][ ]+[ ][ ]

    [ ]3

    RNHOHRNH

    Ki

    +

    = [ ]2RNHi

    + ++ OHNHOHNH ++ OHNHOHNH 423

    [ ][ ]+[ ][ ][ ]

    4

    NHOHNH

    Ki

    +

    =

    [ ]3NHi 6 6

  • J++J++88+88+88+88+

    + ++ HCOOHOHCOH ++ 33232 HCOOHOHCOH

    [ ][ ]HCOH +=

    [ ][ ][ ]32

    31 COH

    HCOHK =

    32+ ++ 23323 COOHOHHCO

    [ ][ ][ ]

    +

    =

    23COHK [ ][ ][ ]= 33

    2 HCOK

    6 6

  • G$""&G$""& ?? G$""&G$""& ??G$"'"%"G$"'"%"G$"!1"G$"!1"

    AABAABHH

  • ,+,+++

    ,+,+++

    E"BE"BA()1CACA

    HAcNONaHNOAcNa ++ ++ 22 22

    [ ][ ][ ][ ][ ] Kc

    HNOHAc=

    +2[ ][ ][ ][ ][ ][ ] KcHNOAcH HNOHAc =+ 22

    [ ][ ][ ]HNOAcH 2 6 6

  • "((#".(!""(!""

    !! .. && !! &"!2&"!2 &&!! .. && !! &"!2&"!2 &&$'$$"$'$$" !! %!0+%!0+&&$'$$"$'$$" !! %!0+%!0+&&"$"&"$"& !"&!"& #%"&"%"&"& "!-."&+"!-."&+"$"&"$"& !"&!"& #%"&"%"&"& "!-."&+"!-."&+!($"!($" !! "" ((%"%" $$ !&!& ,!!&,!!& 22&+22&+%"%" $$ !&!& ,!!&,!!& 22&+22&+%%%%!! #%%& $!$!..%%%%!! #%%& $!$!..

    6 6

  • J3J3J3J3

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    + ++ OHOHOHOH 322 ++ OHOHOHOH 322[ ][ ]3 OHOHK += [ ][ ][ ]22

    3

    OHOHOH

    K a+

    =

    2

    6 6

  • [ ] [ ][ ]+ OHHOHK[ ] [ ][ ]+ OHHOHK 2[ ][ ]+ OHHX 14100.1 [ ][ ] OHHX100.1

    [ ]142 100.1 XX [ ]100.1 XX[ ]7100.1 XX [ ]7100.1 XX

    6 6

  • 7.%."&!&"!-"&I$%-."7.%."&!&"!-"&I$%-."7.%."&!&"!-"&I$%-."7.%."&!&"!-"&I$%-."!%!!%"#!$"+&!%"&!%!!%"#!$"+&!%"&$!0%1$"!$$$.&$!0%1$"!$$$.&$!0%1$"!$$$.&$!0%1$"!$$$.&$&"%&&"K;$&"%&&"K;CC LMK;LMK;IIL(!&"!-L(!&"!-$%1%1%8""#"%"9$%1%1%8""#"%"9$%1%1%8""#"%"9$%1%1%8""#"%"9$"$"$"$"$"$"

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    !&""%%"+&$""&"&"B$%!"!&""%%"+&$""&"&"B$%!"8;8;II9!!%"&$!0%1I!9!!%"&$!0%1I!8;8;II9!!%"&$!0%1I!9!!%"&$!0%1I!%(I%1("%$$$"&%(I%1("%$$$"&"B$%!"&!"&"&I$%-."&K;"B$%!"&!"&"&I$%-."&K;IILMK;LMK;CC LL

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    !"%-$I$%-." !"%-$I$%-." !"%-$I$%-." !"%-$I$%-." #;>#;>HH !".K;!".K;CC LL#;>#;>HH !".K;!".K; LL

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    6 6

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    ("%&MAI&

  • 6 6

  • &"&&"&E#F&"#%$"%1"!'"%.%!7&"E!'F!B#%&-"&$%$

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    #;:#;>? #"K#

    ;08!9:;1;89>;1:89:;1H89??>?????>???

    5??>?< L7M??>? LL

    (""(/

    [ ][ ][ ]

    ( ))010.0(1082.13

    3 25 XxCOOHCH

    COOCHHKa === +

    [ ] )010.0(3COOHCH"(!"#/L;E0AL>? IE

    #;>66A#;>66A

    "(!"#/L;E0AL>? IE

    %26.410001.0

    000426.0..%.........135100

    1.000135.0

    == XX

    01.01.0 6 6

  • ++3+++3+++ 3++++ 3++++3+++3+

    &&"!&"#"!"&&"!&"#"!" &&"!&"#"!"&&"!&"#"!"&"%-$"I$%""&"%-$"I$%""

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    !"%I)$%"!=."%.!"%I)$%"!=."%."$;:$"$;:$HHAAHH

  • ++3+++3+++ 3++++ 3++

    $2%&"%"&"&)"&("!-."&$2%&"%"&"&)"&("!-."&

    ++3+++3+

    $2%&"%"&"&)"&("!-."&$2%&"%"&"&)"&("!-."&&&%"!#;&.$%"&&%"!#;&.$%"$%"&!&&%I"&$%"&!&&%I"&$%"&!&&%I"&$%"&!&&%I"&

    !#;$!&.%&A

  • ++3+++3+++ 3++++ 3++

    &&"!-$1$"$,!"&&&"!-$1$"$,!"&

    ++3+++3+

    &&"!-$1$"$,!"&&&"!-$1$"$,!"&$,!(&&!5"&$"&"#"&$$,!(&&!5"&$"&"#"&$&%#%&&&%#%&&&%#%&&&%#%&&

    5$&"!-!#$$$%&&%5$&"!-!#$$$%&&%5$&"!-!#$$$%&&%5$&"!-!#$$$%&&%!"&"&$#;$"&.%.!"&"&$#;$"&.%.#R&$$&"$1$"&""#R&$$&"$1$"&""#R&$$&"$1$"&""#R&$$&"$1$"&""$&&$&&5$&"!-"%.$"%&1"#&5$&"!-"%.$"%&1"#& 5$&"!-"%.$"%&1"#&5$&"!-"%.$"%&1"#"%1$""&(&!#"%1$""&(&!

    6 6

  • ++3+++3+++ 3++++ 3++

    !&$&"!"&"%.$"%&&"(!&$&"!"&"%.$"%&&"(#"%&!""%&!"&&&&&&&)"&("!-.&)"&("!-.&

    ++3+++3+

    #"%&!""%&!"&&&&&&&)"&("!-.&)"&("!-.& !#;!!#;!%#"I"%#"I" 2%)I"$2%)I"$ !#;!!#;!%#"I"%#"I" 2%)I"$2%)I"$

    '!$"$"%"N#"%*#!"+!#;$!'!$"$"%"N#"%*#!"+!#;$!&.%&.%&&!%$$"%$A+

  • &"!"%.$"%&$$"$,!"&"!"%.$"%&$$"$,!""%"&%!2!&$!$"($!&!$"%"&%!2!&$!$"($!&!$"%"&%!2!&$!$"($!&!$"%"&%!2!&$!$"($!&!$$""&$%!"%.$"%$","$""&$%!"%.$"%$","HH"+!"+!!!

    $!,"(!$!""8$!"$!!

    $!,"(!$!""8$!"$!!

    $!,"(!$!""8$!"$!!

    $!,"(!$!""8$!"$&"$"9&"&"$"9&"

    + + 232232 OHCHOHHC[ ][ ]

    [ ]5232 108.1

    +

    = XOHHCOHCH

    [ ]232 108.1= XOHHC&"8;0;109>80;10I9

    [ ] MXH 5108.1 + =74.4)108.1log( 5 == XpH

    74.4)108.1log( 5 == XpH 6 6

  • /,/,&$#$#%#%%#%#%%"%.$"%&"%.$"%&!"&!"&!! #%"#"%-#%"#"%-$$!! "%-"%-$!$!!%"!"!%"!"!! #%"#"%-#%"#"%-$$!! "%-"%-$!$!!%"!"!%"!"$,!$,!"" !!

    $!$!"""Q"Q"" && && ,,&$#$&%&%#%#% "%"%"%.$"%"%.$"%.. #;#; 8"8" #;9#;9 $'%$'%$!$!#?#? $!$!$"$".. #;#; 8"8" #;9#;9 $'%$'%$!$!#?#? $!$!$"$"$,!$,!"" 8#?8#? $$!! &&$,!9$,!9 7#"."&7#"."&&&%% #%#%%#%#%% "%.$"%"%.$"%$$ =,!=,!%% #%#%%#%#%% "%.$"%"%.$"%$$ =,!=,!I#","I#"," ;;

    + + AHHA

    [ ][ ]AH=

    +[ ][ ][ ] KaHA

    AH=

    +

    [ ]HA

    6 6

  • [ ] [ ][ ] KaAH logloglog =+

    +[ ] [ ][ ] KaHAH logloglog =++[ ] [ ][ ] KaHA

    AH logloglog =

    +

    [ ]HA[ ]A[ ][ ] pKaHAApH =

    log

    [ ][ ]HAApKapH

    += log -$;$%&"H;&!!I

    sal

    CC

    pKipH log+=

    [ ]HA

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