P x y & T x y Diagrams

P-x-y and T-x-y Diagram Construction October 3, 2013 You may discuss this problem in pairs or in groups but each individual must complete his or her own wor Assuming Raoult’s Law to be valid, prepare a P-x-y diagram for a temperature of 90◦C and a T-x-y diagra (a) A mixture of benzene (component 1) and ethylbenzene (component 2). (b) A mixture of 1-chlorobutane (component 1) and chlorobenzene (component 2).

Benzene Val Values ues for for Anto Antoiine's ne's Equ Equatio ation n A

B 13.7819

Cal Calcula culate ted d Satu Satura rati tion on Pres Pressu sure re

2726.81

sat

T/⁰C

C

P /kPa 90 136.4967836

2 1 7 .5 7 2

Ethylbenzene Val Values ues for for Anto Antoiine's ne's Equ Equatio ation n A

B 13.9726

Cal Calcula culate ted d Satu Satura rati tion on Pres Pressu sure re

3259.93

xB 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1

sat

T/⁰C

C

P /kPa 9 0 2 4 .2 6 0 3 2 1 2 1

212.3

T/⁰C

PT 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90 90

24.260321 29.872144 35.483967 41.095791 46.707614 52.319437 57 57.93126 63.543083 69.154906 74.766729 80.378552 85.990376 91.602199 97.214022 102.82584 108.43767 114.04949 119.66131 125.27314 130.88496 136.49678

yB 0 0.228468338 0.384671708 0.498214471 0.584473377 0 .6 5 2 2 2 7 8 9 0.706855593 0.751834377 0.789513231 0.821535905 0.849087098 0.873042251 0.894062275 0.912655476 0.929219192 0 .9 4 4 0 6 8 5 1 0.957456502 0.969588766 0 .9 8 0 6 3 4 0 6 0.990732197 1

. for a pressure of 90 kPa for each of the following systems.

140

120

100

    )    a    P     k     (    e    r    u    s    s    e    r    P

80

60

40

20 0

P-x-y Diagram - Benzene(1)/Ethylbenzene(2) @ 90⁰C

0.25

0.5

0.75

x,y

1

Sat. Liquid Sat. Vapor

Benzene Values for Antoine's Equation A

B 13.7819

C 2726.81

Calculated Saturation Temperature P/kPA

217.572

sat

T /⁰C 90 76.19911

Ethylbenzene

Calculated Saturation Temperature sat

T /⁰C Values for Antoine's Equation P/kPA A B C 13.9726 3259.93 212.3 90 131.8362

sat B/kPa

P

T 76.19911 78.94911 81.69911 84.44911 87.19911 89.94911 92.69911 95.44911 98.19911 100.9491 103.6991 106.4491 109.1991 111.9491 114.6991 117.4491 120.1991 122.9491 125.6991 128.4491 131.8362

90 98.09082 106.74 115.9732 125.8166 136.2967 147.4405 159.2754 171.829 185.1293 199.2048 214.0839 229.7957 246.3691 263.8335 282.2185 301.5536 321.8688 343.1938 365.5588 394.5787

P

sat EB/kPa

14.48308 16.11375 17.89228 19.82859 21.93302 24.21631 26.6896 29.3644 32.25266 35.3667 38.71925 42.3234 46.19266 50.34089 54.78235 59.53165 64.60379 70.01409 75.77825 81.9123 90

xB 1 0.901304 0.811588 0.729853 0.655224 0.586933 0.524306 0.466747 0.413733 0.364799 0.319535 0.277576 0.238598 0.202313 0.168464 0.136821 0.10718 0.079355 0.053182 0.028513 0

xEB 0 0.098696 0.188412 0.270147 0.344776 0.413067 0.475694 0.533253 0.586267 0.635201 0.680465 0.722424 0.761402 0.797687 0.831536 0.863179 0.89282 0.920645 0.946818 0.971487 1

yB 1 0.982329 0.962543 0.940482 0.915978 0.888856 0.858932 0.826015 0.789904 0.750389 0.707255 0.660273 0.609209 0.553819 0.49385 0.429039 0.359116 0.283799 0.202798 0.115814 0

yEB 0 0.017671 0.037457 0.059518 0.084022 0.111144 0.141068 0.173985 0.210096 0.249611 0.292745 0.339727 0.390791 0.446181 0.50615 0.570961 0.640884 0.716201 0.797202 0.884186 1