R = 8,314 [kj/kmol-k] N = 78. T i = Lookup 'Equilibrio P = 1 atm'; i ; 'T' for i = 1 to 39
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1 File:C:\EES32\Userlib\Examples\coeficientes_actividad_aire.EES 10/07/ :42:32 Page 1 Programa para la obtención de los coeficientes de actividad en la destilación del aire utilizando la ecuación de Wilson y la entalpía de mezcla a partir de datos no isotermos. Copyright J.I. Zubizarreta P = x1*p0 1 *gamma1+x2*p0 2 *gamma2 R = 8,314 [kj/kmol-k] N = 78 T i = Lookup 'Equilibrio P = 1 '; i ; 'T' x i = Lookup 'Equilibrio P = 1 '; i ; 'x' y i = Lookup 'Equilibrio P = 1 '; i ; 'y' G 12;i = v 'Oxygen' ; T = T i ; P = 1 [] 1,01325 v 'Nitrogen' ; T = T i ; P = 1 [] 1,01325 a 12 R T i G 21;i = v 'Nitrogen' ; T = T i ; P = 1 [] 1,01325 v 'Oxygen' ; T = T i ; P = 1 [] 1,01325 a 21 R T i ln γ1;i = ln x i + 1 x i G 12;i + 1 x i G 12;i x i + 1 x i G 12;i G 21;i 1 x i + x i G 21;i ln γ2;i = ln 1 x i + x i G 21;i x i G 12;i x i + 1 x i G 12;i G 21;i 1 x i + x i G 21;i σi = 1 x i γ1;i , ,72 T i 6,6 1 x i γ2;i , ,55 T i 6,45 2 Entalpía de mezcla Δh i = x i a 12 1 x i G 12;i x i + G 12;i 1 x i + 1 x i a 21 x 1 G 21;i 1 x i + x i G 21;i T 39+i = Lookup 'Equilibrio P = 5 '; i ; 'T' x 39+i = Lookup 'Equilibrio P = 5 '; i ; 'x' y 39+i = Lookup 'Equilibrio P = 5 '; i ; 'y' G 12;39+i = v 'Oxygen' ; T = T 39+i ; P = 5 [] 1,01325 v 'Nitrogen' ; T = T 39+i ; P = 5 [] 1,01325 a 12 R T 39+i
2 File:C:\EES32\Userlib\Examples\coeficientes_actividad_aire.EES 10/07/ :42:33 Page 2 G 21;39+i = v 'Nitrogen' ; T = T 39+i ; P = 5 [] 1,01325 v 'Oxygen' ; T = T 39+i ; P = 5 [] 1,01325 a 21 R T 39+i ln γ1;39+i = ln x 39+i + 1 x 39+i G 12;39+i + 1 x 39+i G 12;39+i x 39+i + 1 x 39+i G 12;39+i G 21;39+i 1 x 39+i + x 39+i G 21;39+i ln γ2;39+i = ln 1 x 39+i + x 39+i G 21;39+i x 39+i G 12;39+i x 39+i + 1 x 39+i G 12;39+i G 21;39+i 1 x 39+i + x 39+i G 21;39+i σ39+i = 5 x 39+i γ1;39+i , ,72 T 39+i 6,6 1 x i γ2;39+i , ,55 T 39+i 6,45 2 Entalpía de mezcla Δh 39+i = x 39+i a 12 1 x 39+i G 12;39+i x 39+i + G 12;39+i 1 x 39+i + 1 x 39+i a 21 x 39+1 G 21;39+i 1 x 39+i + x 39+i G 21;39+i N σtotal = Σ j=1 σj SOLUTION Unit Settings: [kj]//[]/[kmol]/[degrees] Minimization of sigma_total(a_12,a_21) 43 iterations: Variable Metric method a12 = [kj/kmol] a21 = 3517 [kj/kmol] N = 78 R = 8,314 [kj/kmol-k] σtotal = 0, potential unit problems were detected. Arrays Table γ 1;i γ 2;i G 12;i G 21;i T i x i y i σ i Δh i [kj/kmol] 1 0,8179 0,9999 0,36 2,234 89,3 0,025 0,092 0, ,5 2 0,8621 0,9996 0,3742 2,145 88,6 0,050 0,173 0, ,43 3 0,8985 0,9995 0,3882 2,065 88,0 0,075 0,245 0, ,65 4 0,9282 0,9996 0,4019 1,992 87,4 0,100 0,308 0, ,5 5 0, ,4154 1,924 86,9 0,125 0,364 0, ,4 6 0,972 1,001 0,4287 1,862 86,4 0,150 0,415 0, ,3 7 0,9876 1,002 0,4417 1,805 85,9 0,175 0,460 0, , ,003 0,4545 1,752 85,4 0,200 0,501 0, ,8 9 1,01 1,005 0,4671 1,703 85,0 0,225 0,538 0, ,4 10 1,017 1,007 0,4794 1,657 84,6 0,250 0,572 0, ,023 1,01 0,4916 1,615 84,2 0,275 0,603 0, ,8 12 1,027 1,012 0,5036 1,575 83,9 0,300 0,632 0, ,2
3 File:C:\EES32\Userlib\Examples\coeficientes_actividad_aire.EES 10/07/ :42:33 Page 3 Arrays Table γ 1;i γ 2;i G 12;i G 21;i T i x i y i σ i Δh i [kj/kmol] 13 1,03 1,016 0,5154 1,537 83,5 0,325 0,658 0, ,2 14 1,032 1,019 0,527 1,502 83,2 0,350 0,682 0, ,9 15 1,033 1,023 0,5385 1,469 82,9 0,375 0,705 0, ,5 16 1,033 1,027 0,5498 1,437 82,6 0,400 0,726 0, ,1 17 1,033 1,032 0,561 1,407 82,3 0,425 0,746 0, ,7 18 1,032 1,037 0,572 1,379 82,0 0,450 0,764 0, ,4 19 1,031 1,042 0,583 1,352 81,7 0,475 0,781 0, ,1 20 1,03 1,048 0,5938 1,326 81,5 0,500 0,797 0, ,028 1,053 0,6046 1,302 81,2 0,525 0,812 0, ,026 1,06 0,6152 1,278 81,0 0,550 0,827 0, ,1 23 1,024 1,067 0,6258 1,256 80,7 0,575 0,840 0, ,3 24 1,022 1,074 0,6363 1,234 80,5 0,600 0,853 0, ,6 25 1,02 1,081 0,6467 1,213 80,3 0,625 0,866 0, ,018 1,089 0,6571 1,193 80,1 0,650 0,877 0, ,4 27 1,016 1,097 0,6674 1,174 79,9 0,675 0,889 0, ,9 28 1,014 1,106 0,6777 1,156 79,6 0,700 0,899 0, ,2 29 1,012 1,115 0,688 1,138 79,4 0,725 0,910 0, ,5 30 1,01 1,125 0,6982 1,12 79,2 0,750 0,919 0, ,6 31 1,009 1,135 0,7084 1,104 79,1 0,775 0,929 0, ,4 32 1,007 1,146 0,7186 1,087 78,9 0,800 0,938 0, ,005 1,157 0,7288 1,072 78,7 0,825 0,947 0, ,1 34 1,004 1,169 0,7389 1,056 78,5 0,850 0,955 0, ,7 35 1,003 1,182 0,7491 1,041 78,3 0,875 0,963 0, ,8 36 1,002 1,195 0,7593 1,027 78,1 0,900 0,971 0, ,2 37 1,001 1,209 0,7695 1,013 78,0 0,925 0,979 0, , ,224 0,7797 0, ,8 0,950 0,986 0, , ,24 0,7899 0, ,6 0,975 0,993 0, , , ,7827 1, ,2 0,025 0,064 0, , ,174 1,001 0,8034 1, ,6 0,050 0,124 0, , ,165 1,001 0,824 1, ,9 0,075 0,179 0, ,9 43 1,157 1,002 0,8445 0, ,4 0,100 0,230 0, ,4 44 1,148 1,003 0,8648 0, ,8 0,125 0,277 0, ,6 45 1,14 1,004 0,885 0, ,3 0,150 0,321 0, ,8 46 1,132 1,006 0,9051 0, ,8 0,175 0,363 0, ,2 47 1,123 1,007 0,925 0, ,3 0,200 0,401 0, ,9 48 1,116 1,009 0,9448 0, ,8 0,225 0,437 0, ,1 49 1,108 1,011 0,9645 0, ,4 0,250 0,471 0, ,7 50 1,1 1,013 0,984 0, ,9 0,275 0,503 0, ,093 1,015 1,004 0, ,5 0,300 0,533 0, ,1 52 1,086 1,017 1,024 0, ,1 0,325 0,561 0, ,7 53 1,08 1,02 1,043 0, ,7 0,350 0,588 0, ,8 54 1,074 1,022 1,062 0, ,3 0,375 0,613 0, ,6 55 1,068 1,025 1,081 0, ,0 0,400 0,637 0, ,9 56 1,062 1,027 1,1 0, ,6 0,425 0,660 0, ,7 57 1,056 1,03 1,119 0, ,2 0,450 0,682 0, ,051 1,033 1,138 0, ,9 0,475 0,703 0, ,6 59 1,046 1,036 1,157 0, ,6 0,500 0,723 0, ,4 60 1,042 1,039 1,176 0, ,3 0,525 0,742 3,318E ,4 61 1,037 1,042 1,195 0, ,9 0,550 0,760 0, ,4 62 1,033 1,045 1,213 0, ,6 0,575 0,778 0, ,2 63 1,029 1,048 1,232 0, ,3 0,600 0,795 0, ,7 64 1,026 1,051 1,251 0, ,1 0,625 0,811 0, ,6 65 1,023 1,054 1,27 0, ,8 0,650 0,826 0, ,9 66 1,019 1,058 1,288 0, ,5 0,675 0,841 0, ,1 67 1,017 1,061 1,307 0, ,2 0,700 0,856 0, ,1
4 File:C:\EES32\Userlib\Examples\coeficientes_actividad_aire.EES 10/07/ :42:33 Page 4 Arrays Table γ 1;i γ 2;i G 12;i G 21;i T i x i y i σ i Δh i [kj/kmol] 68 1,014 1,064 1,326 0,617 97,0 0,725 0,870 0, ,5 69 1,012 1,068 1,345 0,608 96,7 0,750 0,884 0, ,1 70 1,009 1,071 1,364 0, ,4 0,775 0,897 0, ,5 71 1,007 1,074 1,383 0, ,2 0,800 0,910 0, ,3 72 1,006 1,078 1,402 0, ,9 0,825 0,922 0, ,9 73 1,004 1,081 1,421 0, ,7 0,850 0,934 0, ,1 74 1,003 1,085 1,441 0, ,4 0,875 0,946 0, ,1 75 1,002 1,088 1,46 0, ,2 0,900 0,957 0, ,4 76 1,001 1,092 1,48 0, ,0 0,925 0,968 0, , ,096 1,499 0, ,7 0,950 0,979 0, , ,099 1,519 0, ,5 0,975 0,990 0, ,5 Lookup Table: Equilibrio P = 1 T x y Row 1 89,26 0,025 0,09225 Row 2 88,6 0,05 0,1732 Row 3 87,99 0,075 0,2445 Row 4 87,42 0,1 0,3078 Row 5 86,88 0,125 0,3642 Row 6 86,37 0,15 0,4146 Row 7 85,9 0,175 0,46 Row 8 85,45 0,2 0,5011 Row 9 85,02 0,225 0,5383 Row 10 84,62 0,25 0,5723 Row 11 84,24 0,275 0,6033 Row 12 83,88 0,3 0,6318 Row 13 83,53 0,325 0,6581 Row 14 83,2 0,35 0,6824 Row 15 82,88 0,375 0,705 Row 16 82,58 0,4 0,726 Row 17 82,28 0,425 0,7455 Row ,45 0,7638 Row 19 81,73 0,475 0,781 Row 20 81,47 0,5 0,7972 Row 21 81,22 0,525 0,8124 Row 22 80,97 0,55 0,8269 Row 23 80,74 0,575 0,8405 Row 24 80,51 0,6 0,8534 Row 25 80,28 0,625 0,8657 Row 26 80,06 0,65 0,8775 Row 27 79,85 0,675 0,8886 Row 28 79,65 0,7 0,8993 Row 29 79,44 0,725 0,9096 Row 30 79,25 0,75 0,9194 Row 31 79,06 0,775 0,9288 Row 32 78,87 0,8 0,9379 Row 33 78,68 0,825 0,9466 Row 34 78,5 0,85 0,955 Row 35 78,32 0,875 0,9631 Row 36 78,15 0,9 0,971 Row 37 77,98 0,925 0,9786 Row 38 77,81 0,95 0,9859
5 File:C:\EES32\Userlib\Examples\coeficientes_actividad_aire.EES 10/07/ :42:33 Page 5 Lookup Table: Equilibrio P = 1 T x y Row 39 77,64 0,975 0,9931 Lookup Table: Equilibrio P = 5 T x y Row 1 108,2 0,025 0,0644 Row 2 107,6 0,05 0,1239 Row 3 106,9 0,075 0,1789 Row 4 106,4 0,1 0,2299 Row 5 105,8 0,125 0,2772 Row 6 105,3 0,15 0,3214 Row 7 104,8 0,175 0,3625 Row 8 104,3 0,2 0,401 Row 9 103,8 0,225 0,4371 Row ,4 0,25 0,4709 Row ,9 0,275 0,5027 Row ,5 0,3 0,5328 Row ,1 0,325 0,5611 Row ,7 0,35 0,5879 Row ,3 0,375 0,6133 Row ,4 0,6374 Row ,6 0,425 0,6603 Row ,2 0,45 0,6822 Row 19 99,91 0,475 0,703 Row 20 99,58 0,5 0,7229 Row 21 99,26 0,525 0,742 Row 22 98,95 0,55 0,7602 Row 23 98,64 0,575 0,7778 Row 24 98,35 0,6 0,7946 Row 25 98,05 0,625 0,8108 Row 26 97,77 0,65 0,8264 Row 27 97,49 0,675 0,8414 Row 28 97,22 0,7 0,856 Row 29 96,95 0,725 0,87 Row 30 96,69 0,75 0,8836 Row 31 96,43 0,775 0,8968 Row 32 96,18 0,8 0,9095 Row 33 95,93 0,825 0,9219 Row 34 95,69 0,85 0,934 Row 35 95,44 0,875 0,9457 Row 36 95,21 0,9 0,9571 Row 37 94,97 0,925 0,9682 Row 38 94,74 0,95 0,9791 Row 39 94,51 0,975 0,9897
6 File:C:\EES32\Userlib\Examples\coeficientes_actividad_aire.EES 10/07/ :42:33 Page Δh[i] [kj/kmol] ,2 0,4 0,6 0,8 1 x[i] 1,4 1,2 1 5 γ1[i] γ 2[i] 0,8 0,6 1 0,4 0, ,2 0,4 0,6 0,8 1 x[i]
(X i,y, i i ), i =1, 2,,n, Y i = min (Y i, C i ), i = I (Y i C i ) C i. Y i = min (C, Xi t θ 0 + i ) E [ρ α (Y t )] t ρ α (y) =(α I (y < 0))y I (A )
![(X i,y, i i ), i =1, 2,,n, Y i = min (Y i, C i ), i = I (Y i C i ) C i. Y i = min (C, Xi t θ 0 + i ) E [ρ α (Y t )] t ρ α (y) =(α I (y < 0))y I (A )](/thumbs/82/85321460.jpg "(X i,y, i i ), i =1, 2,,n, Y i = min (Y i, C i ), i = I (Y i C i ) C i. Y i = min (C, Xi t θ 0 + i ) E [ρ α (Y t )] t ρ α (y) =(α I (y < 0))y I (A )")
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