TERMODINAMICA
12
3. Equilibrio Termodinámico CAPITULO III 3 EQUILIBRIO TERMODINÁMICO 3.1 Estudio Termodinámico Antes de empezar un trabajo experimental, es necesario efectuar un estudio termodinámico de las reacciones, con objeto de evaluar sí en condiciones determinadas el proceso puede tener lugar en sentido favorable. Para evaluar la termodinámica de obtención del formaldehído a partir de metanol, se analizó el siguiente sistema complejo de ecuaciones, 3.1-8. Deshidrogenación de metanol (D.H): 3.1) CH 3 OH HCHO + H 2 H o = 20.4Kcal Oxidación parcial de metanol (P.O.M. 1): 25
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Transcript of TERMODINAMICA
CAPITULO III
3. Equilibrio Termodinmico
CAPITULO III
3 EQUILIBRIO TERMODINMICO
3.1 Estudio Termodinmico
Antes de empezar un trabajo experimental, es necesario efectuar un estudio termodinmico de las reacciones, con objeto de evaluar s en condiciones determinadas el proceso puede tener lugar en sentido favorable. Para evaluar la termodinmica de obtencin del formaldehdo a partir de metanol, se analiz el siguiente sistema complejo de ecuaciones, 3.1-8.
Deshidrogenacin de metanol (D.H):
3.1)CH3OH HCHO + H2 (Ho = 20.4Kcal
Oxidacin parcial de metanol (P.O.M. 1):
3.2)CH3OH + O2 HCHO + H2O (Ho = -37.4Kcal
Combustin de metanol (COMB.):
3.3)CH3OH + 3/2 O2 CO2 + H2O (Ho = -61.6Kcal
Descomposicin de metanol (D.M.):
3.4)CH3OH CO + 2 H2 (Ho = 21.7Kcal
Reformado de metanol en presencia de agua (S.R.M.):
3.5)CH3OH + H2O CO2 + 3 H2 (Ho = 11.8Kcal
Oxidacin de metanol a cido frmico (P.O.M. 2)
3.7)CH3OH + O2 HCOOH + H2 (Ho = -42.4Kcal
Descomposicin de formaldehdo (D.F)
3.8)HCHO CO + H2 (Ho = 1.3Kcal
Oxidacin de formaldehdo (O.F.):
3.9)HCHO + O2 CO + H2O (Ho = -6.5Kcal
El anterior sistema de ecuaciones fue estudiado mediante el mtodo de reacciones competitivas en equilibrio (Gaus-Jordan), para eliminar las reacciones menos representativas, as se hall que las cinco primeras reacciones son independientes y las de mayor inters en este trabajo de investigacin [20].
Las constantes de equilibrio, en funcin de la temperatura, para estas reacciones se ilustran en la Fig. 3.1
Los valores de las constantes de equilibrio, se han calculado siguiendo la metodologa convencional de la termodinmica, con los datos proporcionados por la bibliografa [21]. Como puede observarse en el Anexo A (Tabla A-1,2,3,5) .
Fig. 3.1 Constantes de equilibrio en funcin de la temperatura
Para que un proceso sea favorable debe transcurrir con una disminucin de la energa libre de Gibbs en el sistema. En consecuencia mientras mayor sea la disminucin de esta energa, mas favorecido es el sistema de reaccin [20].
Mediante la ecuacin de Vant-Hoff :
3.6)(G = -RT LnK
Con la Ecuacin 3.6 se realiz el clculo de las energas libres correspondientes, en funcin de la temperatura, como se representa en la siguiente Figura 3.2 Realizada segn los datos que se encuentran en Anexo A (Tabla A-4).
Fig. 3.2 Energas libres de formacin en funcin de la temperatura.
Como se puede notar en la anterior Figura, existe una secuencia termodinmicamente favorable, para las reacciones ya mencionadas en el rango de temperatura de estudio. Esta prioridad se presenta como sigue:
COMBUSTION (> P.O.M. ( S.R.M. > D.M. ( D.H.
Para el anlisis termodinmico, se han considerado tambin otras reacciones, que pueden ocurrir en este proceso, ver Ecuaciones 3.7-9. Se conoce por la bibliografa que la cantidad de cido frmico generado por la ecuacin 3.7, es pobre [12].
Con la ayuda del catalizador se puede favorecer la formacin de formaldehdo y evitar la desaparicin de este, que ocurre mediante las reacciones 3.8 y 3.9.
Cabe recalcar que en este estudio termodinmico existen dos vas diferentes para producir formaldehdo, cada proceso de produccin emplea un catalizador determinado. A continuacin se describen las caractersticas de cada uno.
La produccin de formaldehdo a partir de metanol se realiza, tanto por deshidrogenacin, oxidacin cataltica o por una combinacin de ambos. Los dos estados de importancia en la deshidrogenacin de metanol se representan por las Ecuaciones 3.1 y 3.8. En el caso de la oxidacin trmica estos estados son ilustrados por las reacciones 3.2 y 3.9.
La deshidrogenacin de metanol no parece ser atractiva porque requiere temperaturas que tienden a producir la descomposicin de formaldehdo, (Ecuacin 3.8), tan rpido como se forma, esta descomposicin comienza a temperatura de 300C, y se incrementa con la temperatura.
La oxidacin de metanol a formaldehdo y vapor de agua, se da en presencia de catalizador de molibdeno-hierro, que es activo en la regin de 300C. Adems, una caracterstica interesante en el proceso de oxidacin directa es que la mezcla de trabajo ideal de metanol en aire es aproximadamente de 5 1/2 a 8 %.
El proceso compuesto, en el cual la deshidrogenacion y oxidacin ocurren simultneamente, se lleva a cabo en presencia de catalizador de plata y se efecta con una relacin metanol - aire que contiene mezclas de 45 a 37 % de metanol.
Como se puede observar las reacciones de deshidrogenacin son endotrmicas y las reacciones de oxidacin son exotrmicas. Si se obtuviese formaldehdo por deshidrogenacin de metanol, se debera suministrar calor en una relacin de 20.4 Kcal por mol de formaldehdo. En el caso del proceso de oxidacin debemos quitar calor en relacin de 37.4 kcal por mol de formaldehdo. Combinando las reacciones de oxidacin y deshidrogenacin, la variacin de entalpa se hace cero.
3.10) 37 CH3OH + 21/2 O2 + 21/2 CH3OH 58 HCHO + 21 H2O + 37 H2(Ho = 0 Kcal
Una vez iniciadas las reacciones, no habra calor generado, ni absorbido en el sistema, por tanto la reaccin neta sera auto-sostenida trmicamente. Este balance ptimo entre las dos reacciones, se logra suministrando al sistema, una cantidad suficiente de aire. De esta manera, el nico factor limitante sera la velocidad de reaccin.
A temperaturas ordinarias, las velocidades de estas reacciones son insignificantes y se deben tomar en cuenta muchas medidas para acelerarlas. La velocidad de un proceso qumico es normalmente una funcin exponencial de la temperatura, por tanto lo ms lgico es operar a elevadas temperaturas. [22, 12]25CAPITULO III
3Equilibrio Termodinmico253.1Estudio Termodinmico25
PGINA 32
_975241859.xlsGrfico1
-14.251816092758.3865220004223.3370011961-2.70614528335.4219869167
-10.933596054252.4493750863197.6234156610.89712639227.4745022395
-8.292846099347.776931839177.36454694843.79006234639.1552131335
-6.139459281644.0038553706160.99181811586.167220190510.5618741593
-4.348903108540.8928650459147.48482273738.15695086311.7595182742
-2.836086237838.2832235931136.15122407389.847573884812.7932945812
-1.540820443736.0622245455126.504806042111.302001984313.6956710745
-0.419283472734.148532571118.194147874412.566365807914.4906997433
0.561224058532.4820027816110.958993705813.675333114115.1966575365
1.425622725331.0172195969104.602534996314.655515461615.8277443815
2.193257171829.719261489298.973223575615.527721539116.3952106233
2.879388369328.560846049593.952499771116.308489777216.9081267304
3.496229486927.520357887689.446306902817.011156484117.3739217007
4.053680610426.580456689385.379096064217.646616438617.7987678274
4.559859927725.727075761681.689508449318.223874927418.1878609476
CH3 OH = CH2O + H2
CH3OH + 3/2 O2 = CO2 + 2 H2O
CH3 OH + 1/2 O2 = CH2O + H2O
CH3OH + H2O = CO2 + 3 H2
CH3 OH = CO + 2H2
LN K(D.H)
LN K(P.O.M.)
LN K(COMB)
LN K(D.M.)
LN K(S.R.M.)
Temperatura (1/C)
Ln (Ki)
TABLAS
ANALISIS TERMODINAMICO
ECUACIONES:
1)CH3OHHCHO +H2(D.H)
2)CH3OH + 1/2O2HCHO +H2O(P.O.M.1)
3)CH3OH + 3/2O2CO2 +2H2O(COMB)
4)CH3OHCO +2H2(D.M)
5)CH3OH + H2OCO2 +3H2(S.R.M.)
6)CH3OH + 1/2O2HCOOH +H2
7)HCHOCO +H2
8)HCHO + 1/2 O2CO +H2O
ENTALPIAS DE REACCION:
ENTALPIAS DE FORMACION STANDARTH298 = Hp - HrG298 = Gp - Gr
GASH (Kcal/mol)G(Kcal/mol)
Metanol-48.080-38.836(AH298)1=20374(Cal/mol)(AG298)1=12563(Cal/mol)
Formaldehido-27.706-26.273(AH298)2=-37427(Cal/mol)(AG298)2=-42085(Cal/mol)
Agua-57.801-54.648(AH298)3=-161579(Cal/mol)(AG298)3=-164708(Cal/mol)
Monoxido de Carbono-26.416-32.817(AH298)4=21663(Cal/mol)(AG298)4=6019(Cal/mol)
Dixido de Carbono-94.058-94.249(AH298)5=11823(Cal/mol)(AG298)6=-764(Cal/mol)
Oxgeno0.0000.000(AH298)6=-42419(Cal/mol)(AG298)5=-45046(Cal/mol)
Hidrgeno0.0000.000(AH298)7=1290(Cal/mol)(AG298)7=-6544(Cal/mol)
Acido Formico-90.499-83.883(AH298)8=-56511(Cal/mol)(AG298)8=-61192(Cal/mol)
FUENTE:Perry, R.H, Chilton C.H."Manual del ingeniero Qumico", 5 De.
Mc. Graw-Hill Book Co.,N.Y.(1982)
CAPACIDADES CALORIFICAS:4.186800116
TABLA2 Cp=a+bT+cT2+dT3
GASabcdCp298 = CpP - CpR298.15K
Metanol5.0521.69E-026.18E-06-6.81E-09AaAbAcAd
Formaldehido5.6087.54E-037.13E-06-5.49E-09ACp1 =7.0292-7.184E-03-2.348E-063.144E-09(Cal/kmol)
Agua7.7004.60E-042.52E-06-8.59E-10ACp2 =4.8999-8.939E-031.385E-061.731E-09(Cal/kmol)
Monoxido de Carbono7.373-3.07E-036.66E-06-3.04E-09ACp3 =5.00741.522E-03-2.077E-051.301E-08(Cal/kmol)
Dixido de Carbono4.7291.75E-02-1.34E-054.10E-09ACp4 =15.2670-1.558E-02-6.114E-067.426E-09(Cal/kmol)
Oxgeno6.714-8.79E-074.17E-06-2.54E-09ACp5 =11.39536.788E-03-3.197E-051.724E-08(Cal/kmol)
Hidrgeno6.4732.22E-03-3.30E-061.83E-09ACp6 =0.86101.771E-02-3.165E-051.473E-08(Cal/kmol)
Acido Formico2.7973.24E-02-2.01E-054.82E-09ACp7 =8.238-8.39E-03-3.77E-064.28E-09(Cal/kmol)
FUENTE:Reid.R,Prausnitz.J.,Poling.B, "The Properties of Gases and Liquids"ACp8 =6.108-1.01E-02-3.34E-082.87E-09(Cal/kmol)
4Ed. Mc GrawHill (1986)
CONSTANTES DE INTEGRACIONAHo=(AH298)-(Aa*T)-(Ab*T^2/2)-(Ac*T^3/3)-(Ad*T^4/4)
H1(o)=18611.603
H2(o)=-38506.430
H3(o)=-162982.020
H4(o)=17843.197
H5(o)=8372.079
H6(o)=-43212.446
H7(o)=-768.405
H8(o)=-57886.439
R =1.987(cal/K mol)
ECUACION DE VANT HOFF(LN K= -AG/R/T)
(LN K298)1=-21.2065897975C1 =-9.3935035197
(LN K298)2=71.0380441506C2 =-7.3518970975
(LN K298)3=278.0240365848C3 =-11.418547206
(LN K298)4=-10.1598110817C4 =-22.6120099072
(LN K298)5=1.2901347405C5 =-17.5433664726
(LN K298)6=76.0373162701C6 =-0.4826054528
(LN K298)7=11.0467787158C7 =-13.2185063875
(LN K298)8=103.2914126639C8 =-11.1768999653
T (K)T (C)H1 (cal/mol)H2 (cal/mol)H3 (cal/mol)H4 (cal/mol)H5 (cal/mol)H6 (cal/mol)H7 (cal/mol)H8 (cal/mol)
37310020708.4-37268.2-161304.822384.312625.1-42135.41675.9817.3
42315020908.2-37184.6-161147.722812.613130.9-41944.31904.4929.6
47320021089.4-37118.1-161013.323199.113609.3-41756.12109.71020.2
52325021252.3-37067.8-160902.323544.714058.0-41573.62292.41090.3
57330021397.6-37032.6-160815.223850.514475.5-41399.42453.01140.8
62335021525.9-37011.6-160751.724118.214860.9-41235.32592.31172.8
67340021638.2-37003.5-160711.124349.615213.9-41082.62711.41187.8
72345021735.2-37007.2-160692.524546.715534.9-40942.12811.51187.0
77350021818.2-37021.5-160694.124711.915825.0-40813.92893.71172.0
82355021888.2-37045.0-160713.924847.816085.7-40697.72959.51144.3
87360021946.6-37076.3-160749.324957.316319.6-40592.63010.71105.8
92365021994.8-37114.1-160797.225043.716529.4-40497.23048.91058.1
97370022034.3-37156.7-160854.025110.416719.0-40409.43076.11003.2
102375022066.7-37202.6-160915.625161.116892.4-40326.73094.4943.1
107380022093.9-37250.2-160977.625199.917054.6-40246.03106.1880.0
T (K)T (C)G(D.H.)G(P.O.M.)G(comb)G(D.M.)G(S.R.M.)G(6)G(7)G(8)
37310010.6-43.3-165.52.0-4.0-45.7-8.6-62.4
4231509.2-44.1-166.1-0.8-6.3-46.2-9.9-63.2
4732007.8-44.9-166.7-3.6-8.6-46.8-11.4-64.1
5232506.4-45.7-167.3-6.4-11.0-47.3-12.8-64.9
5733005.0-46.6-167.9-9.3-13.4-47.8-14.2-65.7
6233503.5-47.4-168.5-12.2-15.8-48.4-15.7-66.6
6734002.1-48.2-169.2-15.1-18.3-49.0-17.2-67.5
7234500.6-49.1-169.8-18.1-20.8-49.6-18.7-68.3
773500-0.9-49.9-170.4-21.0-23.3-50.2-20.1-69.2
823550-2.3-50.7-171.1-24.0-25.9-50.8-21.6-70.0
873600-3.8-51.6-171.7-26.9-28.4-51.4-23.1-70.9
923650-5.3-52.4-172.3-29.9-31.0-52.0-24.6-71.7
973700-6.8-53.2-172.9-32.9-33.6-52.7-26.1-72.6
1023750-8.2-54.0-173.6-35.9-36.2-53.3-27.6-73.4
1073800-9.7-54.9-174.2-38.9-38.8-53.9-29.1-74.3
T (K)T (C)LN K(D.H)LN K(P.O.M.)LN K(COMB)LN K(D.M.)LN K(S.R.M.)LN K6LN K7LN K81/TLN K(D.H)LN K(P.O.M.)LN K(COMB)LN K(D.M.)LN K(S.R.M.)LN K6LN K7LN K8
373100-14.2558.39223.34-2.715.4261.7111.5584.180.01-14.2558.39223.34-2.715.4261.7111.5584.18
423150-10.9352.45197.620.907.4755.0111.8375.210.0066666667-10.9352.45197.620.907.4755.0111.8375.21
473200-8.2947.78177.363.799.1649.7412.0868.150.005-8.2947.78177.363.799.1649.7412.0868.15
523250-6.1444.00160.996.1710.5645.5112.3162.450.004-6.1444.00160.996.1710.5645.5112.3162.45
573300-4.3540.89147.488.1611.7642.0212.5157.750.0033333333-4.3540.89147.488.1611.7642.0212.5157.75
623350-2.8438.28136.159.8512.7939.1112.6853.800.0028571429-2.8438.28136.159.8512.7939.1112.6853.80
673400-1.5436.06126.5011.3013.7036.6412.8450.450.0025-1.5436.06126.5011.3013.7036.6412.8450.45
723450-0.4234.15118.1912.5714.4934.5212.9947.550.0022222222-0.4234.15118.1912.5714.4934.5212.9947.55
7735000.5632.48110.9613.6815.2032.6813.1145.030.0020.5632.48110.9613.6815.2032.6813.1145.03
8235501.4331.02104.6014.6615.8331.0713.2342.820.00181818181.4331.02104.6014.6615.8331.0713.2342.82
8736002.1929.7298.9715.5316.4029.6413.3340.860.00166666672.1929.7298.9715.5316.4029.6413.3340.86
9236502.8828.5693.9516.3116.9128.3813.4339.110.00153846152.8828.5693.9516.3116.9128.3813.4339.11
9737003.5027.5289.4517.0117.3727.2413.5137.540.00142857143.5027.5289.4517.0117.3727.2413.5137.54
10237504.0526.5885.3817.6517.8026.2213.5936.120.00133333334.0526.5885.3817.6517.8026.2213.5936.12
10738004.5625.7381.6918.2218.1925.3013.6634.830.001254.5625.7381.6918.2218.1925.3013.6634.83
T (K)T (C)K(D.H)K(P.O.M.)K(COMB)K(D.M.)K(S.R.M.)logK(D.H.)logk(P.O.M.)
3731006.46E-072.27E+259.86E+966.68E-022.26E+02-6.189485086225.3569443223
4231501.78E-056.00E+226.71E+852.45E+001.76E+03-4.748400433722.7784741793
4732002.50E-045.61E+201.07E+774.43E+019.46E+03-3.601537300220.7492578599
5232502.16E-031.29E+198.28E+694.77E+023.86E+04-2.666333287819.1106315699
5733001.29E-025.75E+171.13E+643.49E+031.28E+05-1.888704622317.7595456386
6233505.87E-024.23E+161.35E+591.89E+043.60E+05-1.231696603316.6261927559
6734002.14E-014.59E+158.72E+548.10E+048.87E+05-0.669169816315.6616251252
7234506.58E-016.77E+142.14E+512.87E+051.96E+06-0.182092498614.8305192607
7735001.75E+001.28E+141.54E+488.69E+053.98E+060.243736511714.1067545692
8235504.16E+002.96E+132.68E+452.32E+067.48E+060.619140082913.4706073149
8736008.96E+008.07E+129.63E+425.54E+061.32E+070.952519487112.906911271
9236501.78E+012.53E+126.35E+401.21E+072.20E+071.2505024812.4038178378
9737003.30E+018.95E+117.02E+382.44E+073.51E+071.518393173611.9519395706
10237505.76E+013.50E+111.20E+374.61E+075.37E+071.760491120511.5437456666
10738009.56E+011.49E+113.00E+358.21E+077.92E+071.980322004811.1731270388
para compararcon el articulo 27!
Conversin de equilibrio
2)CH3OH + 1/2O2HCHO +H2O
P=1atm.
iniciales
n metanol=1molesN(O/M)=0.5
n oxigeno=0.5molesN(N/M)=10
n inerte=10moles
n agua =10moles
n formol =1moles
T (K)Keq.XeqnmetanolnformolnaguanoxigenontotalesK(POM)Keq-K(pom)
3732.27E+250.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481115.17E+50
4236.00E+220.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481113.61E+45
4735.61E+200.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481113.15E+41
5231.29E+190.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481111.66E+38
5735.75E+170.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481113.30E+35
6234.23E+160.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481111.79E+33
6734.59E+150.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481112.10E+31
7236.77E+140.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481114.44E+29
7731.28E+140.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481112.46E+27
8232.96E+130.99999999990.00000000010.99999999990.99999999990.000000000112117851115548111-1.30E+28
8738.07E+120.99999999990.00000000010.99999999990.99999999990.000000000112117851115548111-1.38E+28
9232.53E+120.99999999870.00000000130.99999999870.99999999870.000000000611.99999999942.53E+121.15E+05
9738.95E+110.99999999740.00000000260.99999999740.99999999740.000000001311.9999999987895563306460.849-5.79E+20
10233.50E+110.98999999990.01000000010.98999999990.98999999990.00511.995115.5540384851.22E+23
10731.49E+110.99999999180.00000000820.99999999180.99999999180.000000004111.9999999959157839518474.699-2.72E+21
Conversin de equilibrio
2)CH3OHHCHO +H2
P=1atm.
iniciales
n metanol=1molesN(O/M)=0.5
n oxigeno=0.5molesN(N/M)=10
n inerte=10moles
n agua =0moles
n formol =1moles
T (K)Keq.XeqnmetanolnformolnaguanoxigenontotalesK(POM)Keq-K(pom)
3736.46E-070.00079999670.99920000330.000799996700.5117.88E-084.12E-13
4231.78E-050.00090.99910.000900.5110.00000009973.19E-10
4732.50E-040.0010.9990.00100.5110.00000012326.27E-08
5232.16E-030.1010.8990.10100.5110.00146526922.50E-06
5731.29E-020.1010.8990.10100.5110.00146526921.65E-04
6235.87E-020.1010.8990.10100.5110.00146526923.44E-03
6732.14E-010.1010.8990.10100.5110.00146526924.59E-02
7236.58E-010.1010.8990.10100.5110.00146526924.32E-01
7731.75E+000.1010.8990.10100.5110.00146526923.07E+00
8234.16E+000.110.890.1100.5110.0017637841.73E+01
8738.96E+000.110.890.1100.5110.0017637848.04E+01
9231.78E+010.110.890.1100.5111.76E-031.78E+01
9733.30E+010.110.890.1100.5111.7638E-031.09E+03
10235.76E+010.110.890.1100.5111.7638E-033.32E+03
10739.56E+010.190.810.1900.5116.04E-039.13E+03
TOTAL1.37E+04
P=1atm.
iniciales
n metanol=1molesN(O/M)=0.5
n oxigeno=0.5molesN(N/M)=10
n inerte=10moles
n agua =0moles
n formol =1moles
nota: la siguiente tabla presenta la resolucion con avances de reaccion (Z), para el metodo combinado
T (K)Keq.(D.H)Keq.(pom)Zeq(D.H.)2Zeq(POM)1nmetanolnformolnaguanoxigenon hidrogenontotalesK(POM)K(DH)
4736.46E-072.27E+250.00079999670.9999999999-0.00079999661.00079999660.99999999990.00000000010.000799996712.0007999966-5.11E+07-0.0833944505
5231.78E-056.00E+220.00090.9999999999-0.00089999991.00089999990.99999999990.00000000010.000912.0009-4.54E+07-0.0834020874
5732.50E-045.61E+200.0010.9999999999-0.00099999991.00099999990.99999999990.00000000010.00112.001-4.09E+07-0.0834097242
6232.16E-031.29E+190.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
6731.29E-025.75E+170.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
7235.87E-024.23E+160.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
7732.14E-014.59E+150.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
8236.58E-016.77E+140.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
8731.75E+001.28E+140.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
9234.16E+002.96E+130.110.9999999999-0.10999999991.10999999990.99999999990.00000000010.1112.11-4.10E+05-0.0916597854
9738.96E+008.07E+120.110.9999999999-0.10999999991.10999999990.99999999990.00000000010.1112.11-4.10E+05-0.0916597854
10231.78E+012.53E+120.110.9999999987-0.10999999871.10999999870.99999999870.00000000060.1112.1099999994-1.14E+05-0.0916597863
10733.30E+018.95E+110.110.9999999974-0.10999999741.10999999740.99999999740.00000000130.1112.1099999987-8.06E+04-0.0916597873
TABLAS
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
CH3 OH = CH2O + H2
CH3 OH + 1/2 O2 = CH2O + H2O
CH3 OH + 3/2 O2 = CO2 + 2H2O
CH3 OH = CO + 2 H2
CH3OH + H2O = CO2 + 3 H2
G(D.H.)
G(P.O.M.)
G(comb)
G(D.M.)
G(S.R.M.)
Temperatura (C)
AG (Kcal/mol)
ENERGIAS LIBRES DE FORMACION EN FUNCION DE LA TEMPERATURA
Hoja1
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
00000
CH3 OH = CH2O + H2
CH3OH + H2O = CO2 + 3 H2
CH3 OH + 1/2 O2 = CH2O + H2O
CH3OH + H2O = CO2 + 3 H2
LN K(D.H)
LN K(P.O.M.)
LN K(COMB)
LN K(D.M.)
LN K(S.R.M.)
Temperatura (1/C)
Ln (Ki)
CONSTANTES DE EQUILIBRIO EN FUNCION DE LA TEMPERATURA
Hoja3
CONSTANTES DE INTEGRACION
H1(ctte)=0.000R =1.987
H2(ctte)=0.000
H3(ctte)=0.000
H4(ctte)=0.000
H5(ctte)=0.000
H6(ctte)=0.000
MBD000175F7.unknown
MBD00089767.unknown
_975418135.xlsGrfico1
10.5627477489-43.2732291671-165.52644177352.0056622829-4.0185110253
9.1896984171-44.0837522094-166.1026784865-0.7540356297-6.2823266068
7.7940396993-44.9031971658-166.696246814-3.5620938862-8.6045362187
6.3801322249-45.728850505-167.3028583777-6.4089813892-10.9759101882
4.9514479831-46.5586123909-167.9189924123-9.287104562-13.3888112906
3.5107939898-47.3908407691-168.5417364321-12.1903215596-15.8368321554
2.0604636792-48.2242458356-169.1686783846-15.1136134555-18.31454984
0.6023430562-49.05781604-169.7978310305-18.0528536859-20.817353742
-0.8620126539-49.8907646544-170.4275773415-21.0046415719-23.3413213399
-2.3313222683-50.722490224-171.0566300819-23.9661790899-25.8831262148
-3.8045357463-51.5525466616-171.6840012486-26.9351776954-28.4399685029
-5.2808011486-52.3806202156-172.3089785326-29.9097865598-31.0095213317
-6.7594387746-53.2065114423-172.9311068969-32.8885363997-33.5898888939
-8.2399206304-54.0301208928-173.5501739487-35.8702948814-36.1795731616
-9.7218539186-54.8514376045-174.1661981789-38.8542307628-38.7774471212
CH3OH + H2O =CO2 + 3H2
CH3OH = CH2O + H2
CH3OH = CO + 2 H2
CH3OH + 3/2O2 = CO2 + 2H2O
CH3OH + 1/2O2 = CH2O + H2O
G(D.H.)
G(P.O.M.)
G(comb)
G(D.M.)
G(S.R.M.)
Temperatura (C)
AG (Kcal/mol)
todas ecuaciones
10.5627477489-43.2732291671-165.52644177352.0056622829-4.0185110253-45.7386890097-8.557085466-62.3930623821
9.1896984171-44.0837522094-166.1026784865-0.7540356297-6.2823266068-46.2339857943-9.9437340469-63.2171846734
7.7940396993-44.9031971658-166.696246814-3.5620938862-8.6045362187-46.751794252-11.3561335855-64.0533704506
6.3801322249-45.728850505-167.3028583777-6.4089813892-10.9759101882-47.2892660107-12.789113614-64.8980963439
4.9514479831-46.5586123909-167.9189924123-9.287104562-13.3888112906-47.8438408272-14.2385525451-65.748612919
3.5107939898-47.3908407691-168.5417364321-12.1903215596-15.8368321554-48.4132191895-15.7011155494-66.6027503083
2.0604636792-48.2242458356-169.1686783846-15.1136134555-18.31454984-48.9953437721-17.1740771347-67.4587866495
0.6023430562-49.05781604-169.7978310305-18.0528536859-20.817353742-49.5883864331-18.6551967421-68.3153558383
-0.8620126539-49.8907646544-170.4275773415-21.0046415719-23.3413213399-50.1907388248-20.142628918-69.1713809185
-2.3313222683-50.722490224-171.0566300819-23.9661790899-25.8831262148-50.801005444-21.6348568216-70.0260247774
-3.8045357463-51.5525466616-171.6840012486-26.9351776954-28.4399685029-51.4179983768-23.1306419491-70.8786528643
-5.2808011486-52.3806202156-172.3089785326-29.9097865598-31.0095213317-52.0407332514-24.6289854112-71.7288044782
-6.7594387746-53.2065114423-172.9311068969-32.8885363997-33.5898888939-52.6684260702-26.1290976251-72.5761702927
-8.2399206304-54.0301208928-173.5501739487-35.8702948814-36.1795731616-53.3004906944-27.630374251-73.4205745133
-9.7218539186-54.8514376045-174.1661981789-38.8542307628-38.7774471212-53.9365368219-29.1323768442-74.2619605301
G(D.H.)
G(P.O.M.)
G(comb)
G(D.M.)
G(S.R.M.)
G(P.O.M 2)
G(D.F.)
G(O.F.)
TABLAS
ANALISIS TERMODINAMICO
ECUACIONES:
1)CH3OHHCHO +H2(D.H)
2)CH3OH + 1/2O2HCHO +H2O(P.O.M.1)
3)CH3OH + 3/2O2CO2 +2H2O(COMB)
4)CH3OHCO +2H2(D.M)
5)CH3OH + H2OCO2 +3H2(S.R.M.)
6)CH3OH + 1/2O2HCOOH +H2(P.O.M.2)
7)HCHOCO +H2(D.F.)
8)HCHO + 1/2 O2CO +H2O(O.F.)
ENTALPIAS DE REACCION:
H298 = Hp - HrG298 = Gp - Gr
GASH (Kcal/mol)G(Kcal/mol)Reaccion(Cal/mol)Reaccion(Cal/mol)
Metanol-48.080-38.836(AH298)1=20374(AG298)1=12563
Formaldehido-27.706-26.273(AH298)2=-37427(AG298)2=-42085
Agua-57.801-54.648(AH298)3=-161579(AG298)3=-164708
Monoxido de Carbono-26.416-32.817(AH298)4=21663(AG298)4=6019
Dixido de Carbono-94.058-94.249(AH298)5=11823(AG298)6=-764
Oxgeno0.0000.000(AH298)6=-42419(AG298)5=-45046
Hidrgeno0.0000.000(AH298)7=1290(AG298)7=-6544
Acido Formico-90.499-83.883(AH298)8=-56511(AG298)8=-61192
FUENTE:Perry, R.H, Chilton C.H."Manual del ingeniero Qumico", 5 De.
Mc. Graw-Hill Book Co.,N.Y.(1982)
4.186800116
CAPACIDADES CALORIFICAS:
Cp=a+bT+cT2+dT3
GASabcdCp298 = CpP - CpR298.15K
Metanol5.0521.69E-026.18E-06-6.81E-09AaAbAcAd
Formaldehido5.6087.54E-037.13E-06-5.49E-09ACp1 =7.0292-7.184E-03-2.348E-063.144E-09(Cal/kmol)
Agua7.7004.60E-042.52E-06-8.59E-10ACp2 =4.8999-8.939E-031.385E-061.731E-09(Cal/kmol)
Monoxido de Carbono7.373-3.07E-036.66E-06-3.04E-09ACp3 =5.00741.522E-03-2.077E-051.301E-08(Cal/kmol)
Dixido de Carbono4.7291.75E-02-1.34E-054.10E-09ACp4 =15.2670-1.558E-02-6.114E-067.426E-09(Cal/kmol)
Oxgeno6.714-8.79E-074.17E-06-2.54E-09ACp5 =11.39536.788E-03-3.197E-051.724E-08(Cal/kmol)
Hidrgeno6.4732.22E-03-3.30E-061.83E-09ACp6 =0.86101.771E-02-3.165E-051.473E-08(Cal/kmol)
Acido Formico2.7973.24E-02-2.01E-054.82E-09ACp7 =8.238-8.39E-03-3.77E-064.28E-09(Cal/kmol)
FUENTE:Reid.R,Prausnitz.J.,Poling.B, "The Properties of Gases and Liquids"ACp8 =6.108-1.01E-02-3.34E-082.87E-09(Cal/kmol)
4Ed. Mc GrawHill (1986)
CONSTANTES DE INTEGRACIONAHo=(AH298)-(Aa*T)-(Ab*T^2/2)-(Ac*T^3/3)-(Ad*T^4/4)
H1(o)=18611.603
H2(o)=-38506.430
H3(o)=-162982.020
H4(o)=17843.197
H5(o)=8372.079
H6(o)=-43212.446
H7(o)=-768.405
H8(o)=-57886.439
R =1.987(cal/K mol)
ECUACION DE VANT HOFF(LN K= -AG/R/T)
(LN K298)1=-21.2065897975C1 =-9.3935035197
(LN K298)2=71.0380441506C2 =-7.3518970975
(LN K298)3=278.0240365848C3 =-11.418547206
(LN K298)4=-10.1598110817C4 =-22.6120099072
(LN K298)5=1.2901347405C5 =-17.5433664726
(LN K298)6=76.0373162701C6 =-0.4826054528
(LN K298)7=11.0467787158C7 =-13.2185063875
(LN K298)8=103.2914126639C8 =-11.1768999653
T (K)T (C)H1 (cal/mol)H2 (cal/mol)H3 (cal/mol)H4 (cal/mol)H5 (cal/mol)H6 (cal/mol)H7 (cal/mol)H8 (cal/mol)
37310020708.4-37268.2-161304.822384.312625.1-42135.41675.9817.3
42315020908.2-37184.6-161147.722812.613130.9-41944.31904.4929.6
47320021089.4-37118.1-161013.323199.113609.3-41756.12109.71020.2
52325021252.3-37067.8-160902.323544.714058.0-41573.62292.41090.3
57330021397.6-37032.6-160815.223850.514475.5-41399.42453.01140.8
62335021525.9-37011.6-160751.724118.214860.9-41235.32592.31172.8
67340021638.2-37003.5-160711.124349.615213.9-41082.62711.41187.8
72345021735.2-37007.2-160692.524546.715534.9-40942.12811.51187.0
77350021818.2-37021.5-160694.124711.915825.0-40813.92893.71172.0
82355021888.2-37045.0-160713.924847.816085.7-40697.72959.51144.3
87360021946.6-37076.3-160749.324957.316319.6-40592.63010.71105.8
92365021994.8-37114.1-160797.225043.716529.4-40497.23048.91058.1
97370022034.3-37156.7-160854.025110.416719.0-40409.43076.11003.2
102375022066.7-37202.6-160915.625161.116892.4-40326.73094.4943.1
107380022093.9-37250.2-160977.625199.917054.6-40246.03106.1880.0
T (K)T (C)G(D.H.)G(P.O.M.)G(comb)G(D.M.)G(S.R.M.)G(P.O.M 2)G(D.F.)G(O.F.)
37310010.6-43.3-165.52.0-4.0-45.7-8.6-62.4
4231509.2-44.1-166.1-0.8-6.3-46.2-9.9-63.2
4732007.8-44.9-166.7-3.6-8.6-46.8-11.4-64.1
5232506.4-45.7-167.3-6.4-11.0-47.3-12.8-64.9
5733005.0-46.6-167.9-9.3-13.4-47.8-14.2-65.7
6233503.5-47.4-168.5-12.2-15.8-48.4-15.7-66.6
6734002.1-48.2-169.2-15.1-18.3-49.0-17.2-67.5
7234500.6-49.1-169.8-18.1-20.8-49.6-18.7-68.3
773500-0.9-49.9-170.4-21.0-23.3-50.2-20.1-69.2
823550-2.3-50.7-171.1-24.0-25.9-50.8-21.6-70.0
873600-3.8-51.6-171.7-26.9-28.4-51.4-23.1-70.9
923650-5.3-52.4-172.3-29.9-31.0-52.0-24.6-71.7
973700-6.8-53.2-172.9-32.9-33.6-52.7-26.1-72.6
1023750-8.2-54.0-173.6-35.9-36.2-53.3-27.6-73.4
1073800-9.7-54.9-174.2-38.9-38.8-53.9-29.1-74.3
T (K)T (C)LN K(D.H)LN K(P.O.M.)LN K(COMB)LN K(D.M.)LN K(S.R.M.)LN K(P.O.M. 2)LN K(D.F.)LN K(O.F.)1/TLN K(D.H)LN K(P.O.M.)LN K(COMB)LN K(D.M.)LN K(S.R.M.)LN K6LN K7LN K8
373100-14.2558.39223.34-2.715.4261.7111.5584.180.01-14.2558.39223.34-2.715.4261.7111.5584.18
423150-10.9352.45197.620.907.4755.0111.8375.210.0066666667-10.9352.45197.620.907.4755.0111.8375.21
473200-8.2947.78177.363.799.1649.7412.0868.150.005-8.2947.78177.363.799.1649.7412.0868.15
523250-6.1444.00160.996.1710.5645.5112.3162.450.004-6.1444.00160.996.1710.5645.5112.3162.45
573300-4.3540.89147.488.1611.7642.0212.5157.750.0033333333-4.3540.89147.488.1611.7642.0212.5157.75
623350-2.8438.28136.159.8512.7939.1112.6853.800.0028571429-2.8438.28136.159.8512.7939.1112.6853.80
673400-1.5436.06126.5011.3013.7036.6412.8450.450.0025-1.5436.06126.5011.3013.7036.6412.8450.45
723450-0.4234.15118.1912.5714.4934.5212.9947.550.0022222222-0.4234.15118.1912.5714.4934.5212.9947.55
7735000.5632.48110.9613.6815.2032.6813.1145.030.0020.5632.48110.9613.6815.2032.6813.1145.03
8235501.4331.02104.6014.6615.8331.0713.2342.820.00181818181.4331.02104.6014.6615.8331.0713.2342.82
8736002.1929.7298.9715.5316.4029.6413.3340.860.00166666672.1929.7298.9715.5316.4029.6413.3340.86
9236502.8828.5693.9516.3116.9128.3813.4339.110.00153846152.8828.5693.9516.3116.9128.3813.4339.11
9737003.5027.5289.4517.0117.3727.2413.5137.540.00142857143.5027.5289.4517.0117.3727.2413.5137.54
10237504.0526.5885.3817.6517.8026.2213.5936.120.00133333334.0526.5885.3817.6517.8026.2213.5936.12
10738004.5625.7381.6918.2218.1925.3013.6634.830.001254.5625.7381.6918.2218.1925.3013.6634.83
T (K)T (C)K(D.H)K(P.O.M.)K(COMB)K(D.M.)K(S.R.M.)K(S.R.M.)K(S.R.M.)K(S.R.M.)logK(D.H.)logk(P.O.M.)
3731006.46E-072.27E+259.86E+966.68E-022.26E+026.33E+261.03E+053.64E+36-6.189485086225.3569443223
4231501.78E-056.00E+226.71E+852.45E+001.76E+037.75E+231.37E+054.62E+32-4.748400433722.7784741793
4732002.50E-045.61E+201.07E+774.43E+019.46E+034.01E+211.77E+053.97E+29-3.601537300220.7492578599
5232502.16E-031.29E+198.28E+694.77E+023.86E+045.79E+192.21E+051.32E+27-2.666333287819.1106315699
5733001.29E-025.75E+171.13E+643.49E+031.28E+051.78E+182.70E+051.20E+25-1.888704622317.7595456386
6233505.87E-024.23E+161.35E+591.89E+043.60E+059.66E+163.22E+052.32E+23-1.231696603316.6261927559
6734002.14E-014.59E+158.72E+548.10E+048.87E+058.17E+153.78E+058.10E+21-0.669169816315.6616251252
7234506.58E-016.77E+142.14E+512.87E+051.96E+069.79E+144.36E+054.49E+20-0.182092498614.8305192607
7735001.75E+001.28E+141.54E+488.69E+053.98E+061.55E+144.96E+053.62E+190.243736511714.1067545692
8235504.16E+002.96E+132.68E+452.32E+067.48E+063.10E+135.57E+053.95E+180.619140082913.4706073149
8736008.96E+008.07E+129.63E+425.54E+061.32E+077.47E+126.18E+055.57E+170.952519487112.906911271
9236501.78E+012.53E+126.35E+401.21E+072.20E+072.11E+126.79E+059.67E+161.2505024812.4038178378
9737003.30E+018.95E+117.02E+382.44E+073.51E+076.78E+117.40E+052.01E+161.518393173611.9519395706
10237505.76E+013.50E+111.20E+374.61E+075.37E+072.44E+118.00E+054.86E+151.760491120511.5437456666
10738009.56E+011.49E+113.00E+358.21E+077.92E+079.70E+108.59E+051.34E+151.980322004811.1731270388
para compararcon el articulo 27!
Conversin de equilibrio
2)CH3OH + 1/2O2HCHO +H2O
P=1atm.
iniciales
n metanol=1molesN(O/M)=0.5
n oxigeno=0.5molesN(N/M)=10
n inerte=10moles
n agua =10moles
n formol =1moles
T (K)Keq.XeqnmetanolnformolnaguanoxigenontotalesK(POM)Keq-K(pom)
3732.27E+250.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481115.17E+50
4236.00E+220.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481113.61E+45
4735.61E+200.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481113.15E+41
5231.29E+190.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481111.66E+38
5735.75E+170.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481113.30E+35
6234.23E+160.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481111.79E+33
6734.59E+150.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481112.10E+31
7236.77E+140.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481114.44E+29
7731.28E+140.99999999990.00000000010.99999999990.99999999990.0000000001121178511155481112.46E+27
8232.96E+130.99999999990.00000000010.99999999990.99999999990.000000000112117851115548111-1.30E+28
8738.07E+120.99999999990.00000000010.99999999990.99999999990.000000000112117851115548111-1.38E+28
9232.53E+120.99999999870.00000000130.99999999870.99999999870.000000000611.99999999942.53E+121.15E+05
9738.95E+110.99999999740.00000000260.99999999740.99999999740.000000001311.9999999987895563306460.849-5.79E+20
10233.50E+110.98999999990.01000000010.98999999990.98999999990.00511.995115.5540384851.22E+23
10731.49E+110.99999999180.00000000820.99999999180.99999999180.000000004111.9999999959157839518474.699-2.72E+21
Conversin de equilibrio
2)CH3OHHCHO +H2
P=1atm.
iniciales
n metanol=1molesN(O/M)=0.5
n oxigeno=0.5molesN(N/M)=10
n inerte=10moles
n agua =0moles
n formol =1moles
T (K)Keq.XeqnmetanolnformolnaguanoxigenontotalesK(POM)Keq-K(pom)
3736.46E-070.00079999670.99920000330.000799996700.5117.88E-084.12E-13
4231.78E-050.00090.99910.000900.5110.00000009973.19E-10
4732.50E-040.0010.9990.00100.5110.00000012326.27E-08
5232.16E-030.1010.8990.10100.5110.00146526922.50E-06
5731.29E-020.1010.8990.10100.5110.00146526921.65E-04
6235.87E-020.1010.8990.10100.5110.00146526923.44E-03
6732.14E-010.1010.8990.10100.5110.00146526924.59E-02
7236.58E-010.1010.8990.10100.5110.00146526924.32E-01
7731.75E+000.1010.8990.10100.5110.00146526923.07E+00
8234.16E+000.110.890.1100.5110.0017637841.73E+01
8738.96E+000.110.890.1100.5110.0017637848.04E+01
9231.78E+010.110.890.1100.5111.76E-031.78E+01
9733.30E+010.110.890.1100.5111.7638E-031.09E+03
10235.76E+010.110.890.1100.5111.7638E-033.32E+03
10739.56E+010.190.810.1900.5116.04E-039.13E+03
TOTAL1.37E+04
P=1atm.
iniciales
n metanol=1molesN(O/M)=0.5
n oxigeno=0.5molesN(N/M)=10
n inerte=10moles
n agua =0moles
n formol =1moles
nota: la siguiente tabla presenta la resolucion con avances de reaccion (Z), para el metodo combinado
T (K)Keq.(D.H)Keq.(pom)Zeq(D.H.)2Zeq(POM)1nmetanolnformolnaguanoxigenon hidrogenontotalesK(POM)K(DH)
4736.46E-072.27E+250.00079999670.9999999999-0.00079999661.00079999660.99999999990.00000000010.000799996712.0007999966-5.11E+07-0.0833944505
5231.78E-056.00E+220.00090.9999999999-0.00089999991.00089999990.99999999990.00000000010.000912.0009-4.54E+07-0.0834020874
5732.50E-045.61E+200.0010.9999999999-0.00099999991.00099999990.99999999990.00000000010.00112.001-4.09E+07-0.0834097242
6232.16E-031.29E+190.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
6731.29E-025.75E+170.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
7235.87E-024.23E+160.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
7732.14E-014.59E+150.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
8236.58E-016.77E+140.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
8731.75E+001.28E+140.1010.9999999999-0.10099999991.10099999990.99999999990.00000000010.10112.101-4.43E+05-0.0909842163
9234.16E+002.96E+130.110.9999999999-0.10999999991.10999999990.99999999990.00000000010.1112.11-4.10E+05-0.0916597854
9738.96E+008.07E+120.110.9999999999-0.10999999991.10999999990.99999999990.00000000010.1112.11-4.10E+05-0.0916597854
10231.78E+012.53E+120.110.9999999987-0.10999999871.10999999870.99999999870.00000000060.1112.1099999994-1.14E+05-0.0916597863
10733.30E+018.95E+110.110.9999999974-0.10999999741.10999999740.99999999740.00000000130.1112.1099999987-8.06E+04-0.0916597873
TABLAS
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CH3 OH = CH2O + H2
CH3OH + H2O = CO2 + 3 H2
CH3 OH + 1/2 O2 = CH2O + H2O
CH3OH + H2O = CO2 + 3 H2
LN K(D.H)
LN K(P.O.M.)
LN K(COMB)
LN K(D.M.)
LN K(S.R.M.)
Temperatura (1/C)
Ln (Ki)
CONSTANTES DE EQUILIBRIO EN FUNCION DE LA TEMPERATURA
Hoja1
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CH3OH + H2O =CO2 + 3H2
CH3OH = CH2O + H2
CH3OH = CO + 2 H2
CH3OH + 3/2O2 = CO2 + 2H2O
CH3OH + 1/2O2 = CH2O + H2O
G(D.H.)
G(P.O.M.)
G(comb)
G(D.M.)
G(S.R.M.)
Temperatura (C)
AG (Kcal/mol)
Hoja3
CONSTANTES DE INTEGRACION
H1(ctte)=0.000R =1.987
H2(ctte)=0.000
H3(ctte)=0.000
H4(ctte)=0.000
H5(ctte)=0.000
H6(ctte)=0.000
MBD00089767.unknown
MBD000175F7.unknown
