asgnment2 thermo

10
p(kPa) x1 y1 ln ɣ1 x2 y2 ln ɣ2 GE/RT GE/x1x2RT 19.953 0 0 1 1 0 0 39.223 0.1686 0.5714 0.452339 0.8314 0.4286 0.013297 0.087319 0.622935 42.984 0.2167 0.6268 0.385457 0.7833 0.3732 0.026047 0.103931 0.612292 48.852 0.3039 0.6943 0.277516 0.6961 0.3057 0.072527 0.134823 0.637325 52.784 0.3681 0.7345 0.219558 0.6319 0.2655 0.105712 0.147619 0.634641 56.652 0.4461 0.7742 0.150729 0.5539 0.2258 0.146213 0.148228 0.599883 60.614 0.5282 0.8085 0.092747 0.4718 0.1915 0.209479 0.147821 0.593171 63.998 0.6044 0.8383 0.048507 0.3956 0.1617 0.270811 0.13645 0.570682 67.924 0.6804 0.8733 0.030503 0.3196 0.1267 0.299762 0.116558 0.536007 70.229 0.7255 0.8922 0.021106 0.2745 0.1078 0.323708 0.10417 0.523074 72.832 0.7776 0.9141 0.012398 0.2224 0.0859 0.343482 0.086031 0.497468 84.562 1 1 0 0 0 0 0 0.1 0 10 20 30 40 50 60 70 80 90 P/kPa

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Page 1: Asgnment2 Thermo

p(kPa) x1 y1 ln ɣ1 x2 y2 ln ɣ2 GE/RT GE/x1x2RT19.953 0 0 1 1 0 039.223 0.1686 0.5714 0.452339 0.8314 0.4286 0.013297 0.087319 0.62293542.984 0.2167 0.6268 0.385457 0.7833 0.3732 0.026047 0.103931 0.61229248.852 0.3039 0.6943 0.277516 0.6961 0.3057 0.072527 0.134823 0.63732552.784 0.3681 0.7345 0.219558 0.6319 0.2655 0.105712 0.147619 0.63464156.652 0.4461 0.7742 0.150729 0.5539 0.2258 0.146213 0.148228 0.59988360.614 0.5282 0.8085 0.092747 0.4718 0.1915 0.209479 0.147821 0.59317163.998 0.6044 0.8383 0.048507 0.3956 0.1617 0.270811 0.13645 0.57068267.924 0.6804 0.8733 0.030503 0.3196 0.1267 0.299762 0.116558 0.53600770.229 0.7255 0.8922 0.021106 0.2745 0.1078 0.323708 0.10417 0.52307472.832 0.7776 0.9141 0.012398 0.2224 0.0859 0.343482 0.086031 0.49746884.562 1 1 0 0 0 0

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

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x1y1

x1,y1

P/kP

a

P-x1

P-y1

Page 2: Asgnment2 Thermo

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

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x1y1

x1,y1

P/kP

a

P-x1

P-y1

Page 3: Asgnment2 Thermo

T= 333.13Kp1sat= 84.562kPap2sat= 19.953kPa

experimental data calculated (wilson)p(kPa) x1 x2 y1 Pcalc y1calc y2calc

19.953 0 1 0 0.865136 2.375328 0 1 19.953 0 139.223 0.1686 0.8314 0.5714 0.473797 1.606081 0.033479 1.034045 40.05184 0.571713 0.42828742.984 0.2167 0.7833 0.6268 0.396879 1.487175 0.043091 1.044033 43.56925 0.625484 0.37451648.852 0.3039 0.6961 0.6943 0.284246 1.328759 0.060584 1.062457 48.90375 0.698249 0.30175152.784 0.3681 0.6319 0.7345 0.2191 1.244956 0.073519 1.076289 52.32226 0.740642 0.25935856.652 0.4461 0.5539 0.7742 0.15601 1.168838 0.089296 1.093404 56.17645 0.784887 0.21511360.614 0.5282 0.4718 0.8085 0.105013 1.110725 0.105974 1.111793 60.07749 0.825788 0.17421263.998 0.6044 0.3956 0.8383 0.069151 1.071598 0.121518 1.12921 63.6819 0.860034 0.13996667.924 0.6804 0.3196 0.8733 0.042425 1.043338 0.137083 1.146923 67.34339 0.891394 0.10860670.229 0.7255 0.2745 0.8922 0.030212 1.030673 0.146348 1.157599 69.57181 0.908867 0.09113372.832 0.7776 0.2224 0.9141 0.019064 1.019247 0.157078 1.170086 72.21332 0.928098 0.07190284.562 1 0 1 0 1 0.203188 1.225302 84.562 1 0

ln ɣ1 ɣ1 ln ɣ2 ɣ2

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

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90p-x-y diagram

p-y1 expx1p-y1 wilson

x1,y1

p(kP

a)

Page 4: Asgnment2 Thermo

T= 333.13Kp1sat= 84.562kPap2sat= 19.953kPa

b12= -253.88 -0.383522 G12= 1.121679b21= 845.21 1.276812 G21= 0.682306

0.2994

experimental data NRTL calculationp(kPa) x1 x2 y1 lnɣ2 ɣ2 pcalc y1calc y2calc

19.953 0 1 0 0.846626 2.331765 0 1 19.953 0 139.223 0.1686 0.8314 0.5714 0.019461 1.019652 0.032562 1.033097 31.67531 0.458948 0.54105242.984 0.2167 0.7833 0.6268 0.030294 1.030758 0.050996 1.052318 35.33509 0.534545 0.46545548.852 0.3039 0.6961 0.6943 0.05355 1.05501 0.091192 1.095479 42.32748 0.640531 0.35946952.784 0.3681 0.6319 0.7345 0.072683 1.07539 0.124892 1.133026 47.75948 0.700886 0.29911456.652 0.4461 0.5539 0.7742 0.097186 1.102065 0.168928 1.184034 54.65923 0.760591 0.23940960.614 0.5282 0.4718 0.8085 0.12351 1.131462 0.217463 1.24292 62.2381 0.812002 0.18799863.998 0.6044 0.3956 0.8383 0.147695 1.15916 0.263362 1.301298 69.51548 0.852239 0.14776167.924 0.6804 0.3196 0.8733 0.171026 1.186521 0.309081 1.362172 76.95422 0.887121 0.11287970.229 0.7255 0.2745 0.8922 0.184321 1.202402 0.3359 1.399199 81.43056 0.905889 0.09411172.832 0.7776 0.2224 0.9141 0.199052 1.220246 0.366401 1.442534 86.63906 0.926115 0.07388584.562 1 0 1 0.252493 1.28723 0.487656 1.628495 108.8508 1 0

τ12=τ21=

α=

lnɣ1 ɣ1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

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90p-x-y diagram

p-y1 expx1p-y1 wilson

x1,y1

p(kP

a)

Page 5: Asgnment2 Thermo

0 0.2 0.4 0.6 0.8 10

10

20

30

40

50

60

70

80

90p-x-y diagram

p-y1 expx1p-y1 NRTL

x1,y1

p(kP

a)

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

10

20

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60

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80

90

p-x-y diagram

p-x1 expp-y1 expp-y1 wilsonp-y1 NRTL

x1,y1

p(kP

a)

Page 6: Asgnment2 Thermo

experiment wilson NRTLx1 p(kPa pcalc δp-wilson pcalc

0 19.953 19.953 0 19.953 00.1686 39.223 40.05184 0.82884 31.67531 -7.547690.2167 42.984 43.56925 0.58525 35.33509 -7.648910.3039 48.852 48.90375 0.05175 42.32748 -6.524520.3681 52.784 52.32226 -0.46174 47.75948 -5.024520.4461 56.652 56.17645 -0.47555 54.65923 -1.992770.5282 60.614 60.07749 -0.53651 62.2381 1.62410.6044 63.998 63.6819 -0.3161 69.51548 5.517480.6804 67.924 67.34339 -0.58061 76.95422 9.030220.7255 70.229 69.57181 -0.65719 81.43056 11.201560.7776 72.832 72.21332 -0.61868 86.63906 13.80706

1 84.562 84.562 0 108.8508 24.2888

experiment wilson NRTLx1 y1 y1calc y1calc δy-NRTL

0 0 0 0 0 00.1686 0.5714 0.571713 0.000313 0.458048 -0.1133520.2167 0.6268 0.625484 -0.001316 0.534545 -0.0922550.3039 0.6943 0.698249 0.003949 0.640531 -0.0537690.3681 0.7345 0.740642 0.006142 0.700886 -0.0336140.4461 0.7742 0.784887 0.010687 0.760591 -0.0136090.5282 0.8085 0.825788 0.017288 0.812002 0.0035020.6044 0.8383 0.860034 0.021734 0.852239 0.0139390.6804 0.8733 0.891394 0.018094 0.887121 0.0138210.7255 0.8922 0.908867 0.016667 0.905889 0.013689

δp

δp-NRTL

δy

δy-wilson

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

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p-x-y diagram

p-x1 expp-y1 expp-y1 wilsonp-y1 NRTL

x1,y1

p(kP

a)

0 0.2 0.4 0.6 0.8 1 1.2

-10

-5

0

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δp(kPa) vs. x1

δp-wilsonδp-NRTL

x1

δp(k

pa)

0 0.2 0.4 0.6 0.8 1 1.2

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

0

0.02

0.04

δy vs. x1

δy-wilson

δy-NRTL

x1

δy

Page 7: Asgnment2 Thermo

0.7776 0.9141 0.928098 0.013998 0.926115 0.0120151 1 1 0 1 0

0 0.2 0.4 0.6 0.8 1 1.2

-0.14

-0.12

-0.1

-0.08

-0.06

-0.04

-0.02

0

0.02

0.04

δy vs. x1

δy-wilson

δy-NRTL

x1

δy

Page 8: Asgnment2 Thermo

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