determination of vapor-liquid equilibrium data by
TRANSCRIPT
Scholars' Mine Scholars' Mine
Masters Theses Student Theses and Dissertations
1960
Determination of vapor-liquid equilibrium data by continuous Determination of vapor-liquid equilibrium data by continuous
distillation distillation
David William Bunch
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Recommended Citation Recommended Citation Bunch, David William, "Determination of vapor-liquid equilibrium data by continuous distillation" (1960). Masters Theses. 5566. https://scholarsmine.mst.edu/masters_theses/5566
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DETERMlNATION OF VAPOR-LIQUID . EQUILIBRIUM DATA
BY CONTINUOUS DISTIIJATION
BY
DAVID .WILLIAM BUNCH
A
THESIS
submitted to the faculty of the
SCHOOL OF MINES AND METALLURGY OF THE UNIVERSITY OF MISSOURI
in partial fulfillment of the ~ork requir~d for the
Degree of .
MASTER OF s:::!IENCE IN CHEMICAL ENGINEERING
Rolla, Missouri
1960
TABLE .QE.. CONTENTS
Page
TITI.E PAGE • • ••••••••••••••• · •••••••••••••• ~ • • ••••••••• • • • 1
TAB~.OF CONTENTS••••••••••••••••••••••••••••••••••••••• 2
LIST OF ILLUSTRATIONS •••••••••••••••••••••••••••••••••••
LIST OF mBLES ••a•••••••••••••••••••••••••••••••••••••~•
6
7
I. INTRODUCTION ••••••oooQ•································· 8
II.. LITERATURE REVIEW' •••••••••• • ••••• o .....•••.•..•• • •. • •• • . 10
.... , ....................• Review of Current Methods
Circulation Method ••••••••••••••••••••••••••••
10
10
Bomb Method •••••••••o••••••••••••••••••••••••• 10
Dynamic FJ:ow-Method •• ~ •. !' .•••••••••••• • •• o. •••. • 10
Dew and Boiling Point Method•••••••••••••••••• ll
Dynamic Distillation Method••••••••••••••••••• 11
Continuous Distillation Method·~··•••••••••••• 11
Method of Tiller and R.amalho •••• o •·•...... • • • • • 12
Developnent of Equations•••••••••••••••••••••• 13
III. EXPERmE~L •• a •••• • -o .............................. 0 •••••• 15
Purpose of Investigation •••a••••~•••••••••••••••••• 15
Plan of ~eriment~tion-•••••••••••••••••••••••••••• 15 ·
Materials••••••••••••••····~······~··•••••••••••••• 16
Apparatus· .•••• ~ ... o• ............................... •. • • 16
Distillation Vessel •••••••• •.• •••••••• •. • • • • • • • 16
Temperature Measurement Devices••••••••••••••• 16
Feed Mechanism•••••••••••••••••••••••••••••••• 18
- 2 -
Condell.sex •••••• • ..................... •·•........ 18
Distillate Receiver····~···•••••••••••••••••• 18
Pressure Controlli~g System•••••••••••••••••• 18
Specific Gravity Determination.Apparatus ...... 19
Refractive Index Dete:rmination .Apparatus ••••• 19
Apparatus for Weighing Distillate•••••••••••• 19
Method of Procedure ••••••••••••••••••••••••••••••• 19
Binary-Systems 19
Texnary Systems•••••••••·•••••••••••••••••••• 20
Results • 11 •• • ••••••• • •••••••••••••••••• • ••• D a."..... 21
Sampl~ CalQUl.ations ••••••••••••••••••••••••••••••• 31
Binary Systems •oao•••••···············•••G••• 37
Calculation of Z ••••••••••••••••••••••••
Calculation of V ••••••••••••••••••••••••
Calaulation of W ......•...•.....•..•.... Calculation of xi·
Calculation of Wx
.... ~ ....•.•........... •••••••••••••••••••••••
37
37
38
38
38
Calculation of x ••• • •. •.• •••••••••••••• • •• 38
Calculation of y •••••••••••••••·•·~··••• 39
Calaulation of x •••••••••••••••••••••••• 39
n-Propy1 Alcohol-Water and Acetone-Methanol•• 39·
Tezna.:ry System••••••••••••••••••••••••••••••• 40
Calculation of Composition of Distillate 40
Calculation of Wx ··········~··········· 41 a
Calculation of x a ··~···················· 41
Calculation of·wx •••••••••••••••••••••• 41 m
- 3 -
- 4 -
Calculation of~•••••••••••••••••••••••• 41
Calculation of y a •••••••••••••••••••••••• 42
Calculation of y ••••••• p •••••••••••••••• 42 . m
Calculation of y · •••••••••••••••••o•••••• 42 w
·calculation of x ••••••••••••••••••••••••• 42 . .
Calculation o~ Equilibrimn Data from Least
Squares Equation. ••••••••••••••••a••••••••••• 43
Caloulation of Equilibrimn Temperature•••••••• 44
r;. DISC'Us:3ION • •••• • •. ••• ••••••••••••••.•••••••• ~ ••• •. ••• • • • • 46
Binary Systems••••••••••••••••••••••••••••••••••••• 46
Methanol-Water•••••••••••••••••••••••••••••••• 46
n-Propyl Alcohol-Water ••••••••••••••••••••• 0 •• 46
Acetone-Methanol •••••••••••••••••••••••••••••• 46
Ternary Systems•••••••••••••••••••••••••••••••••••• 47
Aoetone-Methanol-Water •••••••••••••••••••••••• 47
Discussion of Boiling Point Curves ••••••••••••••••• 48
Errors ••••o•o•••••••••••••••••···~··••••••••••••••• 49
Systematic Errors ···························••o•••• 49
Random Errors ••••••••••••••••••••••••••••••••••••••
Evaluation of Method of Calculation •••••••••••••••• 50
Evaluation of Experimental Method •••••••••••••o•••• 51
Time •o•••••••o•••••••••••••••••••••••••o•o•••• 51
Accuracy •••••••••••••••••••••••••••••••••••••a 52
Recommendations•••••••••••••••••••••••••••••••••••• 52
Limitations •••••• •••••o"• ................... ··~······ 53
-5-
V • CONCLtJSIONS o • • ct • a D • • • • a Do • ·• • • • o • • • • a • • o a a a • • o • • • o a o o • o • • 54
VI. SUMMARY••••••••••••••••••••••••••••••••••••••••••••••••• 55
VII. APPENDICES ••••••Q••••••••••••••••••••••o•••aoooaoaona••• 56
Appendix A, List of Materials
Appendix B1 Experimental Data •••••••••••••••••••• 0 •
57
58
VIII. BIBLIOGRAPHY ••••••••••-••••o•••••••••••••••••••••••••••• 68
IX. ACKNOWLEDGMENTS••••••••••••••••••••••••••••••••••••••••• 71
.x. VITA ......••.•...••...•.................•....••......•.. 72
- 6 -
~ .Q! ILLU8rRATIONS
Figure 1. Experimental Apparatus•••••••••••••••••••••••••••• 17
Figure 2. Vapor-Liquid Equilibrium ~or System Methanol-
Figure 3.
Figure 4.
Water •o•a•••••••••••••••••••••••••••••••~•·••••• 23
Boiling Point Curve for System Methanol-Water••••• 24
Vapor-Liquid Equilibrium for System n-Propanol-
Water •••••••••••••••••••••~a•••••••••••••••••••• 26
Figure 5. Boiling Point Curve for n-Propanol-Water •••••••••• 27
Figure 6. Vapor-Liquid Equilibrium for System n-Propanol-
Water from Least Squares Equation••••••••••••••• 29
Figure 7. Vapor-Liquid Equilibrium for System Acetone-
Figure 8.
Figure 9.
Methanol•••••••••••••••••••••••••••••••••••••••• 31
Boiling Point Curve for System Acetone-Methanol ••• 32
Vapor-Liquid Equilibrium for System Acetone-
Methanol-Water•••••••••••••••••••••••••••••••••• 35
Figure 10. Boiling Point Diagram for System Aceton~
Methanol-Water•••••••••••••••••••••••••••••••••• 36
- 7 -
LIST OF·TABLES
Table I. Vapor-Liquid Equili~ri'Uill Data for Methanol-
Table II. Vapor-Li~d Equilibrium Data for· n-Propyl Al-
cohol-Water at 760 mm Hg ••••••••••a.aooaaaaaooo• 25
Table.III. Vapor-Liquid Equilibrium. Data for n-Propyl Al
cohol-Wa.ter at 760 mm Hg (L"east Square:;;}. ... a••••• 28
~able IV. Vapor-Liquid Equilibrium Data for Acetone-
Methanol at 760 nnn Hg •••••••••••a•••••••o•••••o 30
Table V. Vapor-Liquid Equilibrium Data for Aoetone
Methanol-Wate.r at 760 ~JI]!Il Hg ••••• a a a O. a. 0 A. 0 fl •• 33
Table VI. Distillation Data .... :. Trial 1 (Methanol-Water) ••• o. 59
Table VII. Distillation Data: Trial 2 (n-Propyl Alcohol-
Wat er.l •.•• a O O · II O O II a a a •••••• 0 • • •••• 0 .. 0 a ••• Ill • D • Q • • • 61
Table VIII. Distillation Data .. : Trial 3 (Acetone-~ethano]J. OPO 63
Table IX. Distillation Data .. : Trial 4 (Acetone-Methanol-
Water). •• 0 •• 0 ~.a .. 0 a O •••• a O a a ••• ll o_ 0 II O II •• ll O II O O. ll II a': ·,54
Table X~ Distillation Data_; · Trial 5 · (Acetone-Methanol-
Table XI. Distillation Data: Trial 6 · (Acetone-Methanol-
Water)_ 0 Q Q O O O. 0. II. 0 ll. 0 ••••• 0 •••• 0 a~ .... 0 a~ • D. 0 0 •• · 66
Table XII. Distillation Data: Trial 7 (Acetone-Methanol-
W a. t er) a D O o It o a a a o a. a a o a o o o a a a a o a a o a a O ~ 11 0 O a o If O ll .o • o 6 7
- 8 ca
. I. !NTRODUc.rION
. The procur_ing of experimental .vapor-liquid equilibrium data
has been a.problem. of considerable importance to chemical engineers
for a number of years. Modern distillation theory and practice have
made accurate vapor-liquid equilibrium da~a practically a necessity.
Using conventi9nal methods for detennining vapor-liquid equil
ibrium data~ ·an experimenter can obtain only a single vapor-liquid
equilibrium oom~sition per t~ial~ Ramalho {l) working with Tiller
has developed a new method which makes possible the detennination of
all values of the vapor and liquid concentrations in a single exper
iment.
The work done by Ramalho indicated that the necessity for very
precise temperature measurements presented a serious obstacle bµt
that the method seemed to produce reau;I.ts_con~istent with the lit
erature for the syst$ methanol-water. · It was deemed necessary to .
modify the method to eliminate the·need for precise temperature deter
·minations for the method to become useful.· Rather. than analyze -the
mixtures by temperature data,. it was decided to use specific gravity
or refractive index. A limited amount of work was done .(2)~ by .
Ramalho toward this end but the data obtained were insufficient
for definite conclusions.
The work of this writer is an extension ot the modified
- 9 -
Ramalho-Tiller·method for detennination of vapor-liquid.equilibri1Dll.
data. Binary systems are first considered and then the method is
extended to include a ternary system. These systems are in all cases
systems which have been previously explored and reported. Thus, the
method may be checked against the conventional methods of vapor
liquid equilibrium detenni~tions.
-10-
II. LITERATURE REVIEW
Review 5!!. Current Methods
A number of methods have been developed for the experimental
detennination of vapor-liquid-equilibrium data. Several .of the
methods in conunon use are described by Robinson and Gilliland (3)
in considerable detail. Xh.e distinguishing chara9teristics of these
methods are presented below.
Circulation Method. One conunon method for obtaining vapor
liquid equilibr1um (4,-5,6,7,8,9,} is-by circulating the vapor through
a system and bringing it into repeated contact with the liquid
until no further change in composition takes place. In practice,
the apparatus consists of · a chamber in which part of the solution
is vaporized and a recirculation system which returns the vapors
to the original vessei. Provisions are.~de for the withdrawal
of liquid and vapor samples.
_ Bomb Method. In the bomb method {10;11,12,13,14), the liquid
sample. is placed in a closed evacuated vessel. It is then agitated
at constant tempera.ture until equilibrilllll is reached. Liquid and
vapor samples are then withdrawn and analyzed.
Dynamic Flow-Method. The dynamic flow method {15,16,17,18)
consists of passing the vapor through a seri.es of vessels containing
liquj.ds of a suitable composition. The vapor ent~~ing the first
vessel may be of a composition somewhat different from the equilibrium
vapor, · but as it passes through :the system it t.ends . to approach
equilibrium..
- 11 -
~ · and Boiling Point Method. In this method (19-,20,21,22,
23,24,25,26}, .a mixture of known composition is introduced into an
evacuated container.of variable velum~ and allowed to come to thennal
equilibrium. The volume is '[email protected] and the pressure is observed at
which condensation conunences and is completed. The dew point and
bubble point curves of pressure versus temperature for a number of
these prepared samples are obtained and, ·by cross~plotting, conditions
of phase equilibrium may be found. by locating points at which sat
urated liquid ~nd saturated vapor of different compositions exist
at the same temperature and pressure.
Dynamic Distillation Method. In this method (4 1 27,28,29,30,
31,32,33.), the distilling vessel is connected to a condenser and
a reoeiver. A small ~ample of distillate is taken, analyzed .and
the composition in th_e still is comp~ted by material balance.
During such a distillation the composit'ions change continually and -
the samples represent av~rage values. Because of this composition _
·variation, the quantity of liquid in the still is made large in.com
parison to the quantity of distillate. This method involves the
assumption that vapors from a boiling l~quid are in equilibrium. ·with
the liquid. · This ~ssumption is not entirely justified but for most
cases, the differences are negligible.
Continuous Distillation Method. In this method (34,35,36,37,
38,39,401 41,.42)·, which has gained widespread use, · the liquid is
-12 -
distilled, and the vapor sample· is condensed and recyoled back to
the still. At the end of the distillation, the condensate is removed
and analyzed to detennine the yapor composition, and a separate sample
from the still is withdrawn and analyze_d to obtain the liquid. com-
position.
Method 2f Tiller ~ Ramalho. Using the conventional methods
outlined above, an experimenter can obtain only a single vapor~liquid
equilibrium composition per trial. These trials consume two to four
hours to reach an equilibrium state. Th.us a large number of experiments
must be carried out to obtain a complete picture of the variation
over the entire concentration range of vapor and liquid compositions.
·Ramalho (1) workingw~th T~ller has developed a new method by which
it is possible to obtain vapor and liquid concentrations over the
entire concentration range in a single experiment. This method
involves a continuous. distillation and depends on instantaneous
analysis of the residue liquid by measurement of _its boiling point.
The amount of ·liquid in the still at any time is detennined by a ·.
material balance. The relationship between the vapor and liquid com-
positi~ns may then be.9alculated by the familiar equation;
y s:= d(Wx) dW
{Eq. l)' ·
where: y ·= weight per cent of more volatile substance in vapor
x = weight per cent of.more volatile substance in liquid
W ::z weight of liquid in the still · ·
Equation (1) is commonly_ known qs the differential fonn of the
~ayleigh equation (~O).
- 1.3 -
Develo:gnent of Equations. A number of modifications can
be made in the experimental procedure, .including continuous feed
addition, batch feed addition, and simultaneous feed addition and
residue withdrawal. The most promising of these methods consists
of continuous addition of feed of constant composition at a constant
rate. The mathematical analysis of the process depends on application
of the material balance.
If at an arbitra:ry time during the operation an amount of
feed Z with concentration z of the more volatile component has
been added to the initial charge W, while an amount V has been 0
distilled,-an overall material balance yields,
W-W +Z-V 0
{Eq.2)
A material balance with respect to the more volatile component
gives,
Solving for y leads to
d(Wx) ·-= zdZ - y dV
Y -" -d{Wxl + dZ
dV . zd.V
(Eq. 3)
(Eq. 4)
This is the most general fonn of the equat1on used, for calculating
values of the vapor composition. A simplification can be made for
the case of binary·systems where nonnally the pure least volatile
component would be fed into the system. This leads to a value of
z equal to zero. For this case, equation (4) becomes,
d(Wx} YA- dV (Eq. 5)
-14 -
The work done by Ramalho .(1) indicated that the necessity for
very preoise temperatll!e measurements presented~ serious obstacle
but that the method seemed to produce results consistent with the
literature for the system methanol~-water. !t was · felt that the
method should be modified to eliminate the need for precise tem
perature detenninations for the method to become useful. Thus it
was decided to analyze the distillate rather than the mixture in
the .still. This could be done by several physical or chemical means.
A limited amount of work was done by Ramalho (2} toward this end
but the data obtained was insufficient for definite conciusions.
Huckaba (43) h~s also perfonned some work using this method and the
results obtained by his work tend to substantiate the work of Ramalho.
In order to check the validity of the method, choices of
systems·have been limited to those which have been previously ex
plored and reported •. For the system methanol-water, the data of
Cornell and Montanna ( 44} have been 'Q.sed for co~pa-rison. For the
system n-propyl alcohol-water1 the data were compared with the data
of Gadwa (45J. For the system acetone-meth9-nol, the work of Buford
and GrJswo~d (46)" and that of Fordyce (47} was used for. comparison.
The data of Buford and Griswold also provided the comparison for
the ternary system,. acetone-methanol-water.
- 15 -
III. EKPERIMENTAL
Purpose of ·Investigation
The work dorie by Ramalho indicated that the necessity for very
preoise temperature measurem~nts presented a serious obstacle to . .
the detennination of vapar-liquid equilibrium data by the Ra.roalho-
Tiller method. It was deemed neceff5ary .to modify the method to
elimin~~e the need for precise temperature determinations for the
method to becom~ usefula Ra~er .than analyze the mixtures by tem-. .
perature ·data, it was decided to ·xse specific gravity or refractive
index. A limited amount of work was done {"2_) by Ramalho toward
this end but the data obtained .were insufficient for de~inite con
clusions. This work is an extension of the modified RamalhO-:.Tiller
method for dete.nnination of vapor-liquid equilibrium data.
~ 2f E:x:J2erimentation
In all ~ases, th~ systems selected.were those which have_been
previously· investigated and reported in the literature~ These re-
pori;ed values were. used to check the · validity of the experimental·
results obtained.
Two binary systems were first investigated: xnethanol-wate~ and
n-propyl alco~ol-water. Methanol-water comprises a much-studied section
of the literature; also, this was ' the system used .~Y Ram.alho in his
-16 -
work in which temperature was ,;i.sed as the key . variable. The system . .
n-propyl alcohol-water was used as it.was known to have an azeotrope~
The work was then e:x:tend~d to a ternary system, acetone-meth-
anol-water. Density and refractive· index were chosen as the vari-
ables to be measured. Because of discrepancies in the literature on
the reported vapor-liquid equilibrium data for the acetone-methanol
binary of this system, it was decided to also investigate this
binary.
Materials
All ma~erials used in this investigation-· are listed and
described in Appendix A, page 57.
Apparatus
The major e~µn.ent used for this investigation is illustrat~d
in Figure 1. Description of.· t!lis af>paratus -is given below:
Distillation Vessel. The dist!°llation vessel -µ.sed was a three
liter, three-neck Pyrex_ round-bottom flask_. The necks were removed
to w~thin one inch of the spherical portion of the flask to reduce
fractionation. To further reduce fractionation# the upper portion
of the flask was insulated and heated by means of electrical heating
tape.. The main squrce of heat was a Glas-Col heating mantle. All
outlets of the flask were closed by the use of rubber stoppers whi~h
were wrapped in aluminum. foil.
Temperature Measurement Devices~ The thermometer used was
A n
i l i ; : I. ; !
i ; : I
l i I! I,
·! i I
l l 1, I I
· . ~
LJ . I i
I • I
. i I I
[~] ,/
·" .. ..,.~'·
/
"\
A. Reservoir · B~ ~ts .. , o. Heat1ng·:-~t1a
-D. aottrell-Pamp E. ?1B,gnstic .~tirrer Fo fbamomater o .. oo~ _ H. lll.stillate .Raceiver . x~ Burge~.-J. Manometer. x. Manosta-t
Figure 1. Ea:perimental Apparatus
n=--·----. J . r-·1 ! I.
I, 1'
1l_ ..
I: . , ii ,, !I I
'· 1' : J I, 11 i , . q. I I
ll u 1:d=====I =====-.:!
. I
. . I! . -11 · I
· I
;1
I i
.. Drierite
calibrated in Oal~ intervals and had a range of .O'to· lOOoC,. Tem
perature mea~em.ent was enhanced by the use of a Cottrell pump (4~l,
which was activated by a nichrQine heating ooil.
Feed Mechanism. The fe.ed was metered through two, 50 milli-
liter, self-zeroing burets. These ~ur~ts were filled from a reser-.. .
voir by gravity flow and were used alter;nately in order . that readings
might be taken and the burets refilled without disrupting the feed .
addition.
Condenser. The condenser was oori.struoted of stainless steel
tubing with copper tubing used to enclose the coolant annulus.
The tubing which connected the flask and the condenser was wrapped
with nichrome-heating wire to reduce fractionation. Water from the
laboratory tap was u~ed ~s the coolant.
Distillate Receiver. The distillate was collected from the
condenser in 250 milliliter Erlenmeyer flasks. This flask could be
isolated from the system by stopcocks. It was necessary to include.
a line dire~tly from· the manostat to ·the· reoeive~ to pro'V'd.de pressure·
equalization hetw'een the condenser and the receiver.
Pressure Controlling §zstem. The presmire was held at a con-
stant yalue of 760 millimeters mercury by _the use of a Cartesian
manostat.. Air wh~ch had been passed through easo4. (Dr~erite) to.
remove moisture was introduced to provide the differential between
barometric pressur~ and 760 millimeters mercury. This differential
was measured from a U-tube manometer whidh employed water as the man-
omet er fluid. ·
- l9 -
§peoific 9ravity Dete:rmination ApPa.Iatus • . -Specific gravities
of the samples were measured by the use of Weld pycnom.eters. These
·pycnometers were filled with the sample and immersed in a constant
temp~rature bath until they reached the desired temperature. They
were· then weighed on an analytical balance, which gave a reading
of+ 0.0001 gram.
Refractive Index. Dete:rmination AEparatus. The refractometer
used was of the dipping type and was manufactured by Bausch and Lomb.
It. could be read to ·:t 0.00000 refractive index units. Samples tested
were held at a constant temperature in a constant temperature bath
for the refractive index detennination.
ApParatus ~ Weighing Distillate. All samples and containers
weighing over 100 grams, ~uch as distillate samples and initial charge~
were weighed on an intermediate range beam balance. This balance
had a capacity of 750 grams and gave a reading of .:I: 0.01 grams.
Method 2f Procedure
Binary Systems. A weighed. quant_i ty of the more volatile com
ponent was pl.aced in the still. The system was brought to stal).dard
atmospheric ·pressure. Heat was supplied to the still and the solution
was constantly stirred by a magnetic stirring device. The upper· . por
tions of the still and the tube which delivered the vapor to the
condenser were heated to prevent condensation. The internal heater
. was turned on· to actuate the Cottrell pump.
20 -
When the first drop of condensate appeared in the receiver, the
addition of the less volatile component was started. When the proper
amount of distillate ~as collected, the fe~d was stopped from the
first buret and started from the second buret. The stopcocks on the
distillate line and the pressure ~al~~ing line·were closed and.the
temperature was recorded. An empty receiver was inserted onto the dis-.
tillate line and the stopcocks on the distillate line and the pressure
equalizing line were opened. The distillate was weighed and the weight
recorded. The volume of feed added was.determined and recorded.
This procedure was continued until the temperature approached the
nonnal boiling· Point of the less· volatile component at which time
the trial·was.concluded. The specific gravities of the distillate
samples were detennined by pycnometers and these values were used to
dete:rmine the compasition of the samples. Calculations were then made
to determine the vapor-liquid compositi~ns.
Ternary Sy:stems. The general procedure used in the ternary
system investigation was the same as ·that euip~oyed for the binary
system. However, the original liquid charged to the still was not
always the most volatile component but ~s. in_ some instances- a mix
ture -of the most volatile compcnent with one of the other componen~s.
The feed was in all cases a mixture -of the two less volatile com
ponents_. The distillate samples were analyzed , the density being
detennined by the ·_use of pycnometers and the refract! ve index by
the use of the dipping refractometer.
- 21 -
Results
All data taken in the. laboratory are tabula~ ed in AppendJtx Ba
On the following page~.,. the oaloulated values of the vapor--liquid
equ;l.~~;dum data -~e presente,d.· in ~ables as_ ·well as QT<:tphioa+tYa.
Methanol-Watero 'The vapor-iiquid equilibrium data obtained . .
for the syatem·methanol-water are presented in Table ~o Xllese
data are shown graphioal.ly and oomPRX'ed wit.h the dat·a · of Cornell.
and Montanria ':(.44} in figure 2o The boiling point curve is ahown
in Figure 3s,
n-PropY~ Aloohol-Watera The vapor-liquid equilibtj.um data
as calo:ulated by numerical differentiation are g!°ven in Table II~
These values are presented graphically in Figure 4 and are compared
with_ the data of Gadwa ·(45) •. The boiling point cmrve is given in
Figure 5. The data as calculated by fitting a curve to the. e.xper
. im.9ll:tal data by the method o:f least . squares and subsequent differ
entiation are shown in Table III and in Figure. 6.o .
Aoetone-Methanola· The data obtained for 'the system ac~tC?ne
methanol are presented. in Table IV and .. in Figure 7· where .they are. .
compared wit~ the da.ta-o:E Bu.ford and Gri~old (4?l and of Fordyce (~7}.
The boiling point curve is given in Figure 8.
Acetone-Methanol-Water,. The vapor-liquid equilibr~lllil. ~ta
obtained for the syst"em acetone-methanol-water are·presented in
Table V.., These data are_ rep~esented graphically in Figure 9 where
they ar~ compared-with the data ·or ·Buford··and Griswold (46)-,. The
boiling point ourve is presented in Figure .10,.
- 22 -
TABLE I
. Vapor-Liquid·· Equilibri 1lil1 Data
~ Methanol-Water !:!:!. 1§.Q ~ ll£!
· Methanol in ~ethanol i'n ..
Liquid, Va"f)Or, Temp Liquid, Vapor, Temp Weight% Weight% oc Weight% Weight% oc
'•
5.1 28.5 95.2 45 •. 7 79,7 77.6 6.0 32.2 . .
94.5 48.2 800,6 76.9 7.0 35.5 93 .• 7 50.7 ·81.9 76.2 8.2. 39.l 92.. 8 53.3 82.6 75.7 9.5 43.0 91.o 8 55.7 83.7 75.1
10.9 46.3 90.9 58 .. 2 84.9 74.6 12.4 50.l 90a0 60a16 85.4 74.0 14.0 52.8 89.l 63.l 86.,4 73.5 15.7 55.7 88,.2 65.6 a1.4 73.0 17 .. 5 58.4 87~2 68.0 88.l 72 .. 5 1s.·4 60.9 86 .• 5 70.5 89..2 71.9 21.3 62a9 85-a 5 73.l 90.0 71 .. 4 23.l 65.0 84 .. 7 75.6 90.8 70.8 25.0 66.7 83.9 78.1 92.2 . 70.1 27.2 68a6 a·3.1 80 .. 6 92.8 69 .. 6. 29.4 70a4 82.3 83 ... 2 93.,.7 69 .• l 31.5 72al 8la6 ~.5.6 94.2 68 .• 4
-'33.8 73.6 80.8 · 88.l ~S..4 67.8 36.2 75 .. 2 80 .. 1 90a7· 96o3 67, .. 2· 38. 5 °76.3 .79.4 93 .• 3 97a9 66.6 40.9. 77.7 78q8 95 •. 9 98.7 : '65.7 43.3 79,.7 77.6
o.a
,...
8. ~ ,:: 0.6 "" ,.... 0 s:: 1 ..... ~ a 0.4 ,-c
b ~ i 0.2 .... (I) ::: .
0
0
\ .
I . I
/ ~ I I
·!/ / 1
I I
I
-0.2 0.4 · 0.6 :o.s Waight Fraation Methanol in Liquid
FIGURE 2~ VAPOR-LIQUID EQUILIBRIUM OF SYSTEM METHANOL-WATER
- 23 ::-
1,0
u 0
100
I I • I
0.2 0.4 0.6 o.a Waight Fraction Methanol in Liquid.·
FIGURE 3~ BOILIW PODrr CURVE FOR SM'EM METHANOL-WATER-
:.· 24 --~-
1.0 ·
- 25 -
TABLE rr·
Vapor-Liquid .Equilihrimn. Data
!E£ n-P~opyl Aloohol-Water at 760 !!! ,!!<r
n-Propyl Alcohol in n-Propyl Alcohol in
Liquid1 Vapor1 Temp Liquid, Vapor,. Temp Weight% Weight % oc Weight "lo Weight % oc
:
5.8 46~3 94.1 49.l 68.7 87 .• 9 7 .• 3 51.8 93 .• 0 50.9 68a9 87 .• 9 8.9 55.9 92a0 s2 .• s 68.9 87 .• 9
10.7 · 58_ .. 8 91.2 54.9 69 .• 2 87-.9 12.6 61.5 90.4 57.0 69.2 87.8 14.5 63.l 89.8 59.0 69.3 87.8 16.3 63.3 89 .• 4 61.0 69.9 87.8 18.2 6·4.2 89.l 63.0 69.8 87.8 20 .. 2 65.3 88-. 9 65.0 70 .. 3 87.7 22.1 65.8 88.-7 67.l 70.6 87 .• 7 24.1 66.2 88.6 69.2 70.9 87 .• 6 26.l 66.6 88.5 71.3 71.3 87 .• 6 28.l 67.l 88a4 73.4 72.2 87 .• 6
.30.0 67.l 8$a3 75.6 72 .. 3 87.7 31.9 67 .• 5 88.3 77.8 73.3 87.7· 33.8 67u4 88.2 80.l 74.6 87.7 35. 8 67.9 88112 82.5 . 75.1 87.9 37.7 68.1 88.l ·84 .• 9 76-. 9 88.2 39.7 67.9 88al 87.~2 . 78 .• 3 88.7 · 41.6 68.l 88-QO 89.7 80 .. 7 89.2 43.4 68.s · 88.0 92.5 84.6 90.2 45.3 68.4 88 .• 0 95.4· 88.6 92.0 47.2 68.5 87.9
- 26 -
1.0 I l I : ·----~---·--:-· i . : , ! i · i i · : ! : i l ; .... -·· I L 0 ~ .... __ . ___ · --.--------~---··-----~ ______ '---·---~ · --~ .:._ I • ~ . , i • , .·• · 1 I °:'ta og~&.,a. : 1 • ; ! , 1 !
o.a ~---. + -----i---·- . . ----- -----·+·- . ... : -------+ ---+ . i ---+ ! i l . I I t . ! . . : : ... : ... . . i : , I i ! ,...· I I ! : '. ,,/ . i : ' o.6 1·· . --------=---- · :---·-- ·-·---·---:-., -;---------r----t-----1
J f>.1- . -!----'. . ------- ----.//·/ i__ ____ L _____ : -·---t-----1 I ' I / . · l I
~-- --- !. . ! i .,..: .. ·• ~-· . ...... .. ~ . . -, . ... .. ~--------~----.--J..·-----· _i·-··--····-J o.4: · · · · · I I · I
I ; 0.2 . ..! • •• ~ • i ·· . .. . .• , .. ·· ·-· ··- -1· .. . -·· ·
·- ·· ·- · -·· t . • .
o.o . , --~_J __ J ______ : ____ L ___ _ _L __ _ L. ___ _ ; _____ J ____ J ___ J
O.O 0.2 Oo4 Oo6 008 1.0 l!3ight Fra.o~on. n-Pl'opyl Alcoho1 in Liquid
FmOim 4o VAPOR-LIQUID EQUILIBRIUM OP SETEM n-PROPIL ALCOHOL-t-IA.TER
- 27_-
. . . I . .
6 ~ta o Ga (45), · : 1- 0 hpor ental I .
"---~-1--~--l---~- _:_=i=----+-t I , I . . . . I I I I
' 100
- --_ ---_ -- --~r-· -r-1--. i - . F-- ! ·· I· : .
~- ;
95
I I - 90 : __ . -~~-+---f-----+---+---~--t------t-
. I -· . -~ I
(. -·-· · . ~- ; ., i e .. as ~ .
m·· E-4 ' g
..... . ,..
...t
i . i i I
I
i I
· 1 I . ,:8 · . 80 -- _ --- ·- --·-
I . . ..
I
! . ;
: o I ______ ....__ · __ _____ , __ ___ . -------------~
0.2 . _ 0.4 · · · o.s . o.a . ·Waight . Fraotion n-Propyl Alcohol in Licruid
FIGURE 5o . . BOILING POINT CURVE . FOR SYSI'EM n-PROPYL. ALCOHOL-WATER ·
Where,
Liquid,
TllBLE III
Vapor-Liquid Equilibri'tlln ~
for n-Propyl Aloohol-Water at ~ ~ Hg
(Calculated from Least Squares Derived Equation}
Wx i:: A +Bv+cv2+nv3 + EV4 ·+ FVS + GV6·
A= 1.4367 x 10 3
-1 B = -9.3786 x 10 -4 C = 6~2230 x 10
. -7 D = -8.7885 x 10
E =. -10 7.0149 x 10 . -13
F ::c -2.9059 x 10 . -17
G ~ - 4.8823 x 10
n-Propyl Alcohol in
Vapor, Liquid, Vapor, Weight% Weigh~ 1o Weight '7o Weight "lo
96.9 89.6 48 .• 2 68 .• 7 93.8 85.6 44.4 68.4 91.1 83 .• 0 4.0.6 67.9 86.0 7-7.8 36.7 67.6 81.4 74 .• 6 :3°2·. 9 67.2 76.7 72.7 29.l .67.0 72·;.4 70.6 25.1 66.5 68.2 70o5 21.1 65.8 64.0 10.0 11 .• 2 64 .• 1 60.0 69.7 .13.6 61.6 55.9 69 .• 4 9.7 56 .• 7 51.9 69_.o 6.5 49.8
- 29 -
l.O ,---o.jPoint~ from-JNumer~al AtjproxiniationT-:--1 //. L~roint_'_f_r~ ~east_~=~~--~i~----~-----L--) _,.,/ __J
!,. I I I I I ! !~./ .... ,_.·· l 0 8 I I I i I i ! .,· I . r i . I i 1--r---:;--r-• _-. . . ·1
L _____ ·- __ ! _________ [ . . . ! . I . ;, i: <.:~J ___ · J ___ j ! j $Yt2~~'"f'~~d . _· . ' · ! I ! 13 0.6 0
2 i I .. -l----t·---1-l----··1··/··-··-1 ii 1 ·-- ---,---,
... : I ! I I I I ; il. I ! t :/ I j ! :
; 0,4 i ,--! ·--- -----, /-1--r-1-·-· ---r---·······-·1 t i ,i __ J.. ______ , ___ · .,f/·-1------t
1
• -- ----r--· -1
1
------- ----- ~---~
~ ! . l .· . i I I ; 0 • 2 i , :-- __ /-r,,,.~-- --1--- ---1--------------,-------i------ -----t----~ "" J / I I ' ' I I Cl) I / • ,
~ ::f--+--t----1 ·- ----·-··-·-+-----+---_ ___ . ./,,.,. I i i i I I ;
,/ . I I I I O O ----- 0. 2 0. 4 · 0. 6 0. 8
Weight Fraction n-Propyl Alcohol fn Liquid
Figure 1>. VAPOR-LIQUID EQUIUBRIUM FOR SYSTEM n-PROPYL ALCOHOi-WATER FROM t6
LEAST ~UARES EQUATION
1.0
- 30 ·-
TABLE IV
· Vapor-Liquid· Equilibrillill Data
!2E. Acetone-Methanol ,e! ~ ~ !!9:
Acetone in
Liquid, . Vapor, Temperature Weight '1o Weight 1o oc
40.7 57 .• 0 60a9 43.5 59.5 ·60.3 46.4 61.0 59.7 49.3 63.9 59.2 52.3 66 .• 0 58.6 55.3 68-. 5 58.l 58.4 70.5 57.7 61..4 72.3 57.4 64.3 74.3 57.2 67.2 76.1 57.0 70.0 77.8 56.7 73.0 79.2 56.5 75.9 81.0 56.4 78.7 83.0 56.2 .81.s 85.3 56.1 84.3 87.0 56.0 86.6 89 .. 0 56.0 88.6 89.9 56 .• 0
. 90.6 91.0 56.0 92.9 92-.0 56:.0 95.0 94.3 56.0 97.0 96.5 56.0 98.9 99.0 ••••
- 31 c:» "
i~o! - I . l - ! 1· O E:!lkrimeilta1 I I · I ,• 1 . ! • I i
0 •9 ·--£>Data ot~Oiu aiiin1pm,m~ --_ -1--. x tn·ia. o~ f orcy-c .. · I l o.a -- -- -----+------- -,· ... ··------- _________ _i_ _____ J --
1 - l r /I I I j ! : i // I I
k ' +- I _J_ ' i i/ I ~ I l o. 7 ~~--1 ---- . T-.. .. . . --- I -~---r--~,. -/->1--T I -~ ~ o.6 -- I I . ._· . : / i I i -
~ . , . , ~ 0. i /r · 1 ,· - . . 0 . I ·i. ! ! / I I . ~. r! I '. / l I "' Oo:.> r---- •· · 1
r::o _ . . 1- . - 1' . I , /1 I • < V-! . ' . ! . I 1 ,
r! Oo4r---__j_---- . .- · -- i ___ [ -~I t) I ~T . I ,/l ! !
~ o.11!-------- / L,~-/-i--~--- r--··:---t------ --_ i. ' _____ J_: . °' )( ! _/ . I l - ; ~ '0 2· . i/ I \ . -=- •
1
r-·--_- 1---1---1-----i-1--~-i I • I I
o.1~ ! . ! I _:__· __,· . !,______.._._-. --+-----:i
o.sloO _J_ r _I _~~lr_Ln~I c----.....____--.rr-'
0;2 Ooh O.o v. oO
W:light Fraction ~cetone · in Liquid·
fIGURE 7o . VAPOR~i.r.QUID EQUILIBRIUM OF SYSTEM ACE'TO:NE-METHA.1'IOL
0 o· .. 0
~ -1-J e i E-t
"' ,:: .,.... r-4 .,.... 0 ~
10
. I I
······-· :--- .-. ___ .., l I
I 65 ------·· i···- ··---------
-1- - 1 i I
. . -----i-·-_ --,..--1 . . . b
---- j - ---t ---- j ___ : --'O=-· -0-,-: 0----------'-
I I , 0 I '
60
i I
i
55 I ----------;.
. ! . !
50
0
I. I i .. I
I I i ! . i
f
0.2 0.4 o.s o.a Weight Fraotion Acetone _in Liquid
FIGURE 80 BOILING. POINT CURVE FOR SYSTEM ACETONE-METHANOL
- 32 ca
1.0
- 33 -
TABLE v·
·Vapor-LiquidEquilibritlIIl Data
for Acetone-Methanol-Water at 760 mm Hg .._...... _,._,. ------- ....._... ~
. . Wei.ght % ~n Liquid. Weight "lo in Vapor Temp
oc
Acetone Methanol Water Acetone Methanol .Water
98.5 . o.4 1.1 98.5 o.s 1.0 .... 95.4 1.1 3.5 97.4 0.6 2.0 56.5 92.2 1.8 s ... o 96.6 1. 3, 2 .• 2 57.1 88.9 2 ... 5 8.5 95.4• 0.3 4.3 57 .. 6 85.6 .3.4 11.0 94.9 006 4.5 58.l 82.2 4.3 13,.5 95.1· Oa3 4 ... 6 58 .• 6 78a5 ·4 .• 9 16 .• 6 94.8 0 .. 5 4 .• 7 59.l 74.8 5.8 19 .• 4 95.0 0116 4.4 59. 5 . 70.9 · 7.0 22.1 94.8 a.. 5 ~ .. 7 60.0 67.6 a.a 22 .• 4 94.0 1.1 4,.9 60.5 · 62.0 9 .• 1 2·8. 9 93.5 lo3 5.2 61.0 57.4 10~2 32.4 93.l l.l 5.8 61.6 52.2 lL,4 36,.4 92.5 1.6 5.9 62.3 46.6 12.7 40.7 90.5 :·i3.0 6.5 63.0 41.0 13,.9 . 45.l 90 .. 0 3a3 6.7 63.8 35.l 15.2 49 .• 7 87.9 4o0 8.1 65.2 28.4:. 16 .• 6 55.0 86.0 5.6 8.4 66 .. 7 21.5 17 .• 7 60~8 78.0. 12.6 9.4 68 ... 9 98.5 o .. 8 0.7 ·98.7 Oa2 1.1 O a Cl O
· 95.4 2 .• 7 1 .• 9 97~2· lo6 t .. 2 56.9 92.2 5..0 2 .. a 9.5.l 3.4 1-. 5 .57.0 89.0 7Q2 s.8 93. 8 4 .• 5 ]... 7 57.1 85.8 9.,.4 4 .• 8 93.1· 4-1i8 2-.1 57 .• 3 82.5 . ll-116 5.9 91.8 5-..9 2 . .,3 57 .• 5 79.0: 14.1 6.9 90a6 6 .. 8 2 .. 6 57.8 75 .. 3 1606 8 .. 1 89.9 7.7 2.4 58 .• 2 71.7 19.]. 9,113 88 .• l 8a8 3.1 58.5 68 ... 0 21 .. 6 10114 87.0 . 9.3 3.7 58.8 64.2 24.2 11.6 85~4 11.0 3.6 59.2 60.3 26.8 12 .• 9 83. 8 12,.2 4.Q 59.8 56.3 29 .. 5'. 14 .• 2 82.3 13 .• 3 4.4 60.3 52.3 32.2 15-.5 80.4 15.0 4.6 60.8 48 .. 2 ·34.9 16.9 78a8 16.4 4.8 61.4 44 .. l 37.6 18 .. 3 76.0 18.8 5 .. 2 62.0
- .34 -
TAJ34E! V (CONT'D)
:Vapor-Liqu.id'Eguilibrlum Data
!!:?£ Acetone-Methanol-Water at 760 ~ !!q_
Weight % in :Liquid· Weight% in Vapor Temp r~ oc --
Acetone Methanol Water Acetone Methanol Water
46.3 Oa4 53.3 92.8 Oll3 6.9 66.0 ~2.4 0.7 56.9 92.6 0.3 7111 66.8 38-.4 loO 60.6 92.5 o.s 7.0 67.7 34.4 L.4 64 .• 2 91.3 o.s 8.2 68.6 30.4 1.7 67 .• 9 90.3 o.a 8-.9 69.7 26.6 .2110 71.4 89.5 1.0 9.5 71~2 23.l 2a2 74.7 85.9 2.4 Ll..a7 73.4 .· 19 .• 5 2.s 78110 83.0 2 .• 5 L4.5 76.5 16-.0 2.6 81..4 79.4 4a0 16-.6 78.9 12.6 2.1 84.7 76.2 4.0 19.8 a1.1·
9.6 2,.8 87.6 68.2 5.9 25 .. 9 85.3 6.8 2.8 90.4 58.3 8.2 33.·5 89.4 4.6 2.8 92.6 44.6 g .• 5 45.9 91.7
35.0 62.4 2.6 53.0 46a5 0.5 62.l 32.7 63.3 4 .• 0 52.i 46.9 1 .• 0 63.0 30.5 64.2 5.3 49.6 48.9 1 .. 5 · '64.0 28.4 65.l 6.5 47-.5 .5.0.3 2.2 64.9 26.3 65.9 7.8 44.7· 53 .• 0 2 .• 3 65.6 24.2 66.6 9 .• 2 43 .• 4. 53.6 3.0 66.4 .· 22;.3 . 67.3 l0a4 40.3 56.0 3 .• 1 .67a2 20.5 67-.9 11. .. 6 38._8 57 .• 2 4.0 · 6.7 .8 18.9 68.4 12-. 7 36.9 58.7 4 .. 4 -68.2 17.2 68.8 14.0 34.9 60.3 4.8 68.7 15._6 69-a3 15.l 33.l 61.9 s.o 69.0 14 .• 0- 69a7 16.3 31.9 62 .• 9 5.-2 69.4 12.s 69 .. 9 17 .• 6 30.0 64 .• 6 5.4 69.9 11.0 72a0 18.8 26.7 66.8 6.5 10.2
. ·WATER LEGEND ·
Vapor Composition (Weight :Per Cent) Ac_etone Methanol~ Water Acetone Methanol Water 1 98.5 o.s LO 46 . 58.3. 8.2 33 _.s 2 · 97.4 0.6 2.0 47 44,6 9.5 ·45,9 3 96.6 1.3 2.2 48 53.0 46,5 o.-s 4 95.4 0.3 4.3 49 52.l 45.9 1.0
. 5 94.9 o.s 4.5 50 49,6 . 48~9 1,5 · 6 95.l o.s 4.6 51 47.S 50,3 2.2
7 94.8 0~5 4,7 52 44.7 53.0 2.s I 8 95.0 0.6 4.4 53 . 4S,4 53 .s 3.0
4.'11 9 94.8 0.5 4.7 54 40.3 56.0 . 3. 7 10 94.0 1,1 4.9 55 38.8 57.2 4,0 11 93.5 · 1.3 5.2 ss· 36.9 sa·. 7 4.4
"µ 12 9S.l 1.1 5,8 51 34.9 60.3 4,8 I
~ 13 92.5 1.6 5.9 58 33.1 61,9 s.o -~ 14 90.5 3.0 6,5 59 :n.9 62.9 s.2
cit 15 90.0 3,3 6.7 60 30.0 64.6 5,4 .0
'et. 16 87.9 4.0 8~1 61 26.7 66.8 6,5 ·
~ 0 . 17 86.0 5.6 8.4 q; . 'cit 18 78.0 12.6 9.4 a 68.6 · 26.9 4,5
""" '§: i 19 98. 7 . 0.2 1.1 b 67.9 23.S 8.8 ~ 20 97.2 <'o \ 1.6 1.2 0 ·66.l 20.a 13.1 ~ 21 95.l 3.4 1,5 d 35.5 21.2 43,3 . .
\ -~ 22 93.8 4.5 1.1 · e 51.9 26. 7 . . 21.4 : ~ ~3 93,l 4.a 2.1 f 52.8 41,3 5,9 91 .
~ 24 91.8 5.9 2.3 g 49,5 39.S 11.0 25 90.6 6,8 2.6 h 47.7 37,1 15.2
' ./.s 26 89,9 1.1 2.4 i . 26.3 67.S . 6.2
' \ 27 88.l 8.8 3.1 j 25.0 "63. 5 . 11.s \ .· 28 81.0 9.3 3.7 k 22.7 60.2. 17.1
- '\_ .. · --·-- · · 29 85.4 11.0 3.6 m 86.0 9.7 4.3 / \ 30 -83.8 12.2 4.0 . n . 84.4 7.1 · · 7.9
I \ ·, 31 · 82,S 13.3 · 4_,4 0 a·o.3 8.6 11.1 . '. \
! 32 80.4 15.0 ·4.6 p 93.1 : · 1.9 ·s.o \ / ,.1' 33 78.8 : 16.4 4.8 q 92.7 0.9 6.4
:,4 76.0 18.8 · .s·. 2 r 89.7 1.6 ·. a.1 ·35 92.8. 0.3 6.9 s 82.7 3.5 ·13.a 36 92.6 0.3 7.1 t 52.1 10.s 36.8 .37 92.5 - o.s 7.0 u 96.9 1.s 1,8 '38 91.S o.s . 8. 2 . v 9S.8 . 4.2 . 2.2 3·9 90.3 a.a 8.9 w 80.2 · 5.8 u.o .
'\. I
· '. 40 89.5 1.0 9.5 x 45.3 23.4 ·31.S 41 85.9 2.4 11.7 . y· 62.9 17.0 20.1
·y 42 as.o 2.s . 14.5 . z 11.0 21.0 2·.o 43 · 79.~ 4,0 16,6 A · 79.2 ·1.0 13.8·
~ ~ R ~ , , . 0 44 76.2 4 .0 19,8 B 87.0 · 1.9 11 • .1
. . . It)
VAPOR-LIQUID EQt1IL~IUM FOR ~ -. .,45 68.2 5.9 25.9 c· 67.9 S.4 26.7
ACETONE-METHANOL-WATER . : : · . ~ ·' .
a Exr.>edmental ·
!). Data of Buford and Griswold (46)
Compositions .in Weight i>or Cent Figure 10 • . BOnINS. POINT DIAGRAM FOR SYSTEM . .
ACETONE-METHANOL-WATER
\ 1 -~ ~ ~
1~ '¢cir
0 0
Bs
Sam))le . m,· ..
l · a
3 4 5 6 7 8 9
10 11 12 lS 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 so 31 32
·ss S4 85 36 37 sa 39 4s0 41 . 42 43 4~ 45
LE SUD -Tonporatura ~le . Temperature oc :· mo. oc
•••• 46 89.~ •• 56.5 47 91.7 57.1 48 62.1 . 51.6 .49 ss;o .58.1 . so 64 .• 0 58.6 . 51 64.9 59.1 . 52 · 65.6 59.S 53 66.4 60.0 54 6'1.2 60.S 55 67.8 61.0 56 68.2 61.6 57 68.7 82.S 58 69.0 63.0 · 59 69.4 63.8 60 69.9 -65.2 61 70.2 66.1 68,9 a ·59.6 •••• b 60,9 56,9 0 61.3 57.0 d ' 65.0 57,l · e 60.0 57.3 f 58.7 57.5 _g 95,0 57.8 h 82.9 58.2 i 79.0 58.5 j 70,6 58.8 k 68.7 59.2 m 11.2 sg.·a n 78.1-.-60,S 0 66,5 60.8 p 64,4 61.4 q ,~.2 62.0 r · 67.4 66.0 s 62,8 66.8 t 64.8 61.1 u · 66.4 68,6 v ·. · 81,7 69.7 'W 57.9 11.2 . x 61.S 73.4 · y 64.8 75.5 · z s4a 1.8. 9 81.l
· 85,S
- 37' -
S:unple Calculations
Binary Systems. Equation (Sf was used as the basic equation
for calculation of .vapor compositions. Sampl°e number one from the
system. methanol-water {See Table VI, .p. 59} is · used to indicate the
method of calculation. These values are tabulated for ease of
reference.
Initial weight of solution in flask= 1451~0 g
Feed Density= 0.99505 g/ml
Feed Volume~ 40.45 ml
Weight Distillate+ ·Flask= 139.54 g
Weight Flask= 111.40 g
Specific Gravity .25/25°C = 0.79001
Calculation ~ b {Amount of Feed}.
z1
= (Feed_ .Volum.el{Feed D.ensity)
z1
s:i {4o .. 45l(0~99sos}
.Zi = 40.25 g
Z ~ E(Z1J =-Z~ + z .1 Z ;:: 0 . + 40.250
Z · ;::& 40.25 g
Cal~ulation El Y., (Amount of Distillate)·
Di · = .{weight distillate + flask) · ~ weight flask
D1 = 139.54 - 111.40
D1 =. 28.14 g
V ~ ·1:(D1t = D0 ~ D1
V = 0 + 28.14
··v · = 28.14 g
Calculation tl !· From Equation (2),
w~w +z-v 0
W = weight of residue in flask, g
W0
= initial _charge, g
W = 1451.0 + 40.25 - 28.14
W = 1463.l g
- .38 Q
Calculation!?!.._~-, (Composition of Distillate). Values
of the composition of the distillate were interpolated from.
tables of specific ~vity as a function of temperature from
the data . of Carr and Riddick (SO). For sample one, the specific
gravity was 0.79001. Interpolation from the above-mentioned
.table yields a composition of 99.66 weight per cent.
Calculation Ef !fb (Amount of Volatile Component in Residue).
From a material balance for the more volatile component,
Wx = W0x
0 ~ ~{Di~i)
Therefore, for the first sample ·taken;
Wx=Wx -Dx.. 0 0 1 J.
Wx = . ( 14 51. 0) ( 1. 0) - ( 2 8 • 14 )( 0. 9 9 6 6 )
Wx = 1428.0 g
Calculation_2!,!, (Composition of Residue)
W:x: ·x =-
l-1
x = 1423 • 0 -~ 0 9726 1463.l •
- 39 -
Calculation .5?! Zt: (Composition of Vapor}-. From Equa
tion {5.).#"
d(Wx) yi:r- dV
If a sufficiently small interval of -the curve is chosen,_ this
value will be the slope of the straight line connecting the
end points of the interval. The asslDilption is made that
suocessive samples satisfy this condition. Therefore•
1423.Q - 1451 .. 0 y i:;i -
28ol4 - 0
y ~ Oa995
where, y represents the average value of the distillate sample
taken.
Calculation .2£.~ (Average Liquid Composition Corresponding
toy).
x + ~ X i:i.. 0 J.. ----2
loOOO + 069726 x= 2
x i::i Oa986
Therefo:r:-e, one pair of vapor-liquid equilibrium data, is
establish~ namely x ~ 0.986t ya 0.995.
n-Propyl ~cohol-Water ~ Acetone-Methanol. Calcul·ations
for the syst~s n-propyl aloohol-water and for acetone-methanol
are identical to those given for methanol-water. Analytical data are
- 40 -
given for n-propyl alcohol-water in the International Critical Tables
(51) and for aoetone-methanol by Buford and Griswoid .(46t.
Terna;z S,stem .. Equation (4} was used as the basic equation
for c:aloulation of vapcr oomposi tions for ternary systems. Sample
number one from the system acetone-methanol-water (See Table X1
p. 6S )- is used to indicate the method of calculation. These
values are tabulated for ·ease ·of reference.
Initial weight of solution in flask= 1435.3 g
Feed Density= 0.9581 g/ml
Composition of Charge= 99.64% Acetone 0.36% Water
Composition of Feed = 23.1010 Methanol 76. 9C°t, Water
Volume of Feed= 47.41 ml
Weight Distillate+ Flask= 182.6 g
Weight· Flask .= 112.0 g
Speoifio Gravity 25/25°C = 0.79019
25 Refr~otive Index nd = 1•35689
Calculation of z, V, a_nd W are identical to the calculation of the.se
values for the binazy system and lead to the foll<:>wing values_:
Z = 45.42 g
V = 74.2 g
W i:i 1406.5 g
Calculation ,2! Composition !2! Distillate. Values of the
composition of the distillate were obtained from the analytical
curve obtained for the system acetone-methanol-water by Buford
- 1A -
and Griswold (46)a ·For sample one, the specific gravity
was O. 78854 and the refract! ve index was 1.35610. Inter-
polation from the above-mentioned curve yielded a com-
position of 980 7 per cent a.cetone, Oo 2 per~cent methane+
"and 1.1 per cent water.
Calculation .£t. ~, ·(Amount of Acetone in Residue'}.
From a material balance for the more volatile component,
Wx = W x - ~(Dix it a ·o ao a
Therefore, for sample one,
Wx = W x - D1xa1 . a o o . ·
Wx = {1435.S )(Oa 9964,) - (74.2 l-(O. 987) · a
Wxa = 1362.2 g
Calculation of x 6 (Weight Fraction Acetone in Residue}. -~ Wx x = a
a W 1362 .. 2
xa = 1406.5
x = 0.970 · a
Caloulation 2£. ~, ·(Amoun·t of Methanol :in Residue).
Calculations for the amount of methanol in the residue ·are
identical to those for acetone with the exception that meth-
anol oo~centrations are used in the place of acetone concen-
trai:ions. The resulting ·value of Wx = lOal g. m
Calculation of x 1 (Weight Fraotion Methanol in Residue)a --m
Wx ~a__.!!.
w
10.1 xm = 1406.5
x = 0.007 m
- 42 ..
Calculation~ Ia.~ {Weight Fraction Acetone in Vapor).
From Equation {4)~
d(Wx) dZ Y a:i - dY + zdY
But since z =.. 0 1 the second term drops from the expression.
Using the same assumptions made for binary systems,
1362.2 - {1435.Sl(0.9964) Ya= - 74.2 - 0
ya= 0.985
Calculation of y 1 (Weight Fraction Methanol in Vapor)• -------------~ W 411 -Wx + z ~ - z =-11 omo 0 Ym
Vl - Vo Vl - Vo
10.1 - (1435.3)(0} + Y. ;:i -m 74.2 - 0 .
Y. = o.005 m
(0. 2310} 45.42 - 0
74.2 - 0
Calculation of y 1 (Weight Fraction Water in Vapor).· ----- - ::..:w
Y. = l - y - y w a m
y = l - 0.985 - O.CXJ5 w
y s:: 0.010 w
Calculation of b (Average Liquid Composition).
x a
x + x = ao · a1 . 2
0,,9964 + 0.970 x = a 2
x J::; 00985 a
~::. xmo + 4nl 2
Oa'OOO + Qp007 ~ =:. 2
x = Oa004 m
x =1-x -x w a m
x = 1 - 0.985 - 0.004 w
x = 0.011 w
Therefore6 one pair of vapor-liquid equilibril.UJl data is
established, namely,
x ,:::: 0.985 a
x = 0.004 m
x = 0~011 w
y = 0.985 a
Y. i: 0.005 m
Y. = 0.010 w
- 43 -
Caloulation ~ Eguilibrium ~ ~ Least Sq,uares Equation.
Using the digital computer to derive an equation relating Wx and V
for the system n-propanol-w&ter1 the following equation was estab-
lished:
where,
Wx = A + BV + cv2 + nv3 + EV4 + vv5
o§o gv6
A= 1.4367 x 103
-1 Ba -9.3786 x 10
CC 6a2230 X 10-4
D -7 = -8.7885 x 10
- h4 -
Upon differentiating with respect to V, the following result is ob
tained:
Values of Wx and V are calculated -in the same manner as was illus-
trated above. Using these methods, the following values were obtained:
Wx = 1403.6 g
W = 1448.4 g
V :=.::::; 36.25 g
Substituting these values into the equation for y
y = -B - 2C{36.25) -. 3D(36.25}2
- 4.E.(36.25)3
- 5F(36.25)4
6G(36,.25) 5
y = 0.896
Wx x =w
1403.6 :x: = 1448.4
x = 0.938
Therefore, one pair of vapor-liquid equilibrimn data is established,
namely, x ~ 0.938, y ~ Oa896.
Calculation of Equilibrium Temperature. _Samples number one
and two from the system methanol-water (See Table VI., p. 59) are
used to indicate-the method of calculation. These values are 64.9°C
for sample one and 65.8°C for sample two.
T ~ Tl + T2. 2
T = 64.9 + 65.8 2
TR 65.4°C
- 45 -
A ·stem correction was applied using the equation _ suggested by Daniels~
et. al. (52),
S = 0.00016n(t1 - - t)
where1
s = stem _correction"· ac
n = length of exposed merQury column, °C
t 1 · ~ temperature of bath, °C
t = ambient_ temperature, °C
Taking t as room temperature#
S = (O.CXX)l6}(52)(65.4 - 32.0}
S = 0.3°C
T il. = T + S equ -
T = 65.4 + 0.3 equil
Tequii i.; 65.7
- 46 -
J:V. · DISCUSSION
Binary Wstems
Methanol-Water. The data obtained in this work are compared
-with that of Cornell and Montanna ( 44} in Figure 2 • The agreement
of the two sets of data may. be rea~ily seen. Most of the points
obtained in this work are slightly higher, i.e., the corresponding
vapor compositions are slightly higher.than those ·of Cornell and
Montanna. However, this discrepancy is only approximately one
per dent by weight or less.
n-Prapyl Alcohol-Water. The data of Gadwa (45} provide the .
accepted literature · values for this system.· This system yielded
perhaps the lbest data that was obtained in this research, as may
be seen from Figure 4. · The system is of particular interest _because
of :I. ts distinct minimum boiling aze~:f:rope. The many points of· data
obtained ne~r this azeotrope fix its ·location ve-ry well. ·
Acetone-Methanol. · The system acetone-methanol was chosen·
because of discrepanoi'es existing in the litera~ure,. particularly
in the data of Fordyce ( 4 7) and of Buford and Griswold ( 46).
Consideralble difficulty was encountered in purifying the acet~ne.
The method of purification suggested by Vogel (48) seemed to be
the most satisfactory~ but it is felt that the purity of this
oom.pcnent may be a critical variable and.may provide an explanation
for some of the discrepancies existing: in the literature.
- 47 -
With reference to the pc~ion of the curve :representing low
concentrations of acetone, Othmer (36)- postulates.that there may
be two distinct azeotropic compositions, one minimum boiling and
the other maxinn:nn. boiling. He considers the alternative to be
the coincidence of the ·equilibrium curve with the 45-degree line.
The latter of 'these possibilities seems more likely from the data
of this work.
It may be seen from Figure 7 that the data obtained for this
system do ·not check the literature values as closely as do the data.
for the systems methanol-water and n-propyl alcohol-water. However,
it should be pointed out that the data obtained lie between the values
of Fordyce and of Buford and Griswold.
Ternary System
Acetone-Methanol-Water. The data obtained for this ternary ·
are sufficiently similar to Buford · and Griswold~-s ( 46) to lead· this
writer to oonolude that this method may be used for ~ernary syst(;mls.
The order of accuracy is not as good as that .for the binary·systeins,
however. Much of the error derives from the analytical curves used
to determine the compositions of the distillate samples. The ana-
lytica~ diagram of Buford and Griswold was used throughout the work
on this system. It is estimated that this method is accurat-e to
no more than one weight per oent. As eao~ successive point cal
culated is dependent upon the preceding point, it is a.pparent that - -
this may introduce considerable error.· Furthennore, the vapor-
- la8 -
liquid equilt}>rium ourves oonstructed from the data ·obtained are
probably aoou.rate to no more . than three weight per cent in same
regions of the curve_.
However, it is felt that with the above errors taken into
conside:ration~ the data obta.ined _froni this experimentation is suf
ficiently accurate to consider this method adaptable to most ter
nary systems. It is also of interest that Robinson and Silliland (3}
state nthere· is real question concerning a large amount of the pub
lished experimental vapor-liquid equilibrium ~ta. When results
for the same system are compared •• Pit is not unconnnon to find
deviations of ±10 per cent between different investigators em
ploying essentially the same techniques. 0
Discussion of Boiling Point Curves
As mentioned earlier, the measurement of temperature was con
ducted only to provide a oheok for the data obtained and was not
used in the calculation of the eqUilib;dum. data. The boiling point
curves are shown in Figures 3~ 5.1 8 an~ 10. It may be seen that the
curves for methanol-water and n-propyl alcohol-water indicat~ a
close correlation with the literature values. The boiling point ·
curve for the acetone-methanol system indicates considerable ~s~
crepancies with the observed temperature differing from the liter
ature value by a-s much as 2°C. This is also -true for some of the ·
points in tlie acetone-methanol-water system. This may be explained
by the breaking of the Cottrell pump at this phase of experimentation.
- 49 -
It · is felt that the temperature :measurement no longer represented
the equilibrium temperature but was affected by vapor superheating.
However, a small d~gree of superheat does not materially affect the
vapor-liQ\lid equilibrium and it i~ felt that though the temperat\U"es
were not equilibrium. temperatures, the data taken still represented
the true vapor-liquid equilibrium •.
Errors
Systematic Errors. The most important oauses of error in
the _detennination of vapor-liquid equilibrium data are the followi~g:
. 1. During the p:r;ogress of distillation, part of the vapor
condenses if the upper parts of the still and delivery tube are not
protected from ·heat losses • . This condensed vapor may in turn be
vapo~ized and the vapor which is evolved from it would not have the
same composition as that first evolved from the liqu,id in the still.
In other words, fractionation has t _aken place·::::- and that will affeot
. the composi~ion of the condensate.
2. If the ·heating is not carefully done, entrainment will ·
ocour, i.e •. , liquid bubbles will be carried out_ by the vapor, thus
leading to erroneous results.
3. The composition of the boiling ·solution is gradua~ly
changed as the vapor, richer in the· most volatile fraction is evolv~dG
~is change also· affects the composition of the vapors. The sub
sequent analysis of the condensate from ·the vapor gives the average
composition of the va:por, but analysis of the sample of the liquid
- 5o -
taken e:i.ther·before or after distillation of the cond,ensate sample
analyzed will give a value respectively too high or too low in
the more volatile fraction. This error will be referred to as time
of-sampling error.
·In the me-f;hod used, fractionation was held at a minimllill by
heating the upper portion of the flask. This may have superheated
the vapor to some extent~ ·The use of the Cottrell pump allowed tem
perature measurement which was unaffected by superheating effects.
The time-of-sampling error was reduce~ by analrzing essentially
instantaneous- samples and by applicat~on of the differential Ray
leigh equation in the calculations.
As the equipnent was not completely constructed of glass,
there was in some instances the possibi~ity of interaction between
the systems used and the equipn.ent.
Random Errors. · In addition to.the errors mentioned above~
there were random errors involved in each of the physical measure
ments that were taken. These errors. are considered qui t _e small
when it is remembered that the :vapor-~iquid equilibrium. data is
reported to_ only three significant figures and all of the exper
imental.data contained four or five significant figures.
Evaluation!:!.£ Method of Calculation
It was felt that the approximation of -assuming the slope
of the curve of Wx ~ V at a point to be equal to the slope of
the straight line between that point and a successive·point was
- 51 -
a _:poor approximationa In order to check the reliability of this
approximation.q it was decided to fitan equation . to the curve of
Wx 'J:.§.. V by the method of least squares and then to differentiate
the resulting equation with ·respect to V an·d evaluate the slopes.
This computation was perfonned on·a digita; computer~ but it was not
possible to fit . curves to all the data obtained in the time avail-
able. It was decided to take the data from the system n-propyl al-
cohol-water ·to check the method. The least_ squ.ares program used was
the one w~ich is on file in the Misso~i Schoo~ of Mines Computer
Center (LGP-30 Subroutine 37.0). A power series was ohosen as th~
desired representationa It was found that a sixth degree equation
represented.the data wit~Jl). the desired accuracy. This equation was
differentiated. and ·values of V were substituted into it in order to
calculate the vapor compositions. These were plotted as a function . .
of liquid co~posi tions and resulted in the curve shown in Figure 6.
It may be no~ed that the values obtained are not materially dif
ferent ·from those "obtained by the. method involving the appp:oximation .
of straight lines from point to point.
Evaluation .of E,xperimental Method
Time. Conventional methods used for the ·determination ·of ·
vapor-liquid equilibrium data ~equi_re approximately two to three.
hours . to establish a single equilibrium. point. No:rmally, about
·ten points. are needed to construct a suitable curve for a binary
system and thi1ty to fifty points are neede~ for a ternary-system.
W:f:.·:th the Ramalho-Tiller method, approximately 3"0 ppints may be estab-
lished in a three hour perio_d of operat~on. ~oweve:r-, an a~ditional
six to eight hours is required for filla.lysis of the samples obtained
and caloulation .-of the results. Therefore,; it niay be seen that
using oonvention~l methods. an experimenter can obtain about one
point for three hours of experimental work. Using the Ramalho-
Tiller method he might qbtain about three points per ~our.
Accuraoz. It has already been point.ed out that the accuracy
obtained py the Ramalho-Tiller method is at le~st equivalent to
that of conventional methods. It is f_elt that with further refin~-. .
ments to the equipnent, the accuracy of this method may actually ·
exceed that.of many of the.conventional .methods.
Expense. Mc;>st ·of the conventional methods for the deter-
mination of vapor-liquid equilibrilllll data ·require very sp~aialized . .
and expensiv~ laborato;ry glassware. The Ramalho-Tiller method
requires no highly.specialized equipnerit, but if the equi:r;:anent were . . . .
I?erfeoted.. it would require certain mod.if !cations in the standard
glassware.
Reoonnnendations
As a result of the work done. and the results obtained1
the following reoormnendations ~re made for use of this method of
obtaii:ting vapor..:.liquid equilibrium data_:
1 •. The still should be placed. in.a thermostatted inclosure.
This would ininimiz.e air currents and heat l_oss · fluctuations.
2. The still should be construeted completely of glass
to insure its .inertness to corrosive. systems µnder study.
Limitations
- 53 -
.. The systems studied in this work were limited to three binary
systems and one ternary system. These systems were; methanol-water ..
n-propyl alcohol-water, ~oetone-methanol, and acetone--:,-methanol
water. All exper!Jnentation was conducted a1: 760 mill:bn.eters mercury.
All systems chosen were completely miscible th;-oughout the entire
range of concentrations.
- 54 -
V. CONCLUSIONS
The detennination of vapor-liquid equilibrillID. data by the
met~od of Rama~ho.and Tiller using. oontinuous f~ed addition and
distillate withdrawal for the binary syst~s, methanol~water, n-propyl
alcohol-water and acetone-methanol and for the ternary system acetone
methanol-water led to the f9llowing conclusions:
1.. The res:iµ ts obtained for th~ binary systems were within
· two weight per cent of those given in the literature.
2. The results obtained for the ternary system-were within
five weight per cent of those given in the literature~
3. The method used was. found to be approximately ten times
as rapid as conventional methods.
- 5S -
VI. SUMMRRY
A method has been developed with which it .is possible to
reduce the time_. requ.ired to .obtain isobaric vapor-liquid equili
bril.Dll .data. With other methods,. only one poin·t in the vapor-liquid ·
equilibrii.nn diagram can be obtained in an· individual ·experiment,
thereby necessitating a large nmnber of runs if a complete picture
of the entire concentration range of vapor and liquid compositions
·is to be obtained. In the new method a continuous distillation
was· performed, which enabled qalculations to be made for all values
of the vapor concentration· in ·a single experiment.
Several different procedures may be adopted in connection
'with the proposed method. Th.is work was confined to a continuous
distillation with the addition of feed and simultaneous withdrawal
of distillate. The concentration of .the liquid was found from
analysis of the dlstillate and application of the material balance.
Results for methanol-water,. n-propyl alcohol-water, acetone-meth
ano.l, and acetone-methanol-water are shown to comp~re favorablr
with data reported in the literature.
- 56 -
VII. APPENDICES
.Two appendices are included in this paper. · Appendix A
contains a list· ·of the ·materials .used in the experimental work
and the specifications of these materials_. Appendix .B consists
of all the exJ)erimental data which was taken during the experi
mental work.
- 51 -
APPENDIX A
!4.2.i ~ Materials
Methanol. Mart.ufaatured and distrib~ted by Cofmnercial~
Solveri-f:s Corpo~ation. Methanol used was ~edistiiled .and the heart
cut was taken whioh yielded the following specifioatioµs:. Refrac-. ""
tive index, n!5 = 1.32740;· Specific gravity 25/25°C = 007886 • .
n-Propyl Alcohol. Manu£actµred and distributed by East-
in.an Kodak Company. Alcohol used was redisti11·ed and the heart cut
was taken which yielded the fo;Llowing· ·specifications __ : · Specific
gravity. 30/30~C ~ Oa7994J Boiling temperature r::i 97«2~C • . .
Acetoneo ·Man'Ufactured and distrib~ted by Conuneroial
Sol vents Co;rpo·ration. Acetone was purified according to the method
of Vogel (48} which consisted of pe:rmanganate oxidation, drying and
filtering, and subsequent fractionation. The resulting acetone had
the following specificationSJ Refractive indEric;,. n!5= 1 .. ·~5606}'
. Specific grayity 25/25°C = 0078700
Water, Distilled. Obtained· ·from the laboratory ~upply·.
- 58 -
APPENDIX B
Experimental Data
On the following pages is.a tabulation of the experimental
data that was taken in this wo;rk. Table VI contains the data from
the methanol...:.water system~ Table VII the data from n-propyl aloohol
water. Table VIII the data from acetone-methanol. The experimental
work for the sys-I;~ acetone-met!tanol-water ·was done in four separate
pa.rts. The data for each of these trials are·recorded in Tables
IX:, X, XI, and XII.
TABLE VJ:
Distillati·on Data_: Trl.al° .!
. Syst an_~ Methanol-Wat er
- 59 -
Initi.al weight of solution charged in distilling flask- • · a • a a a o 1451 .. 0 g ·
Feed Temperature l;l p . Q O O a II D a fl ~ O a a a o 32o0 °C .
Feed Density a o a O O A
Satpple .No.
1 · 2
3 4 5. 6 7 8 9
10 ll 12 13 14 15 16 17 18 19 · 20 21 22 23 24 25 26 27 28
Volume Weight Feed · · Distillate
.+ Flask ml
40045 40a98 38g()3 41a26 38 .• 63 37a63· 40.40 4lal9. 4lc,07 42a-S5 4la7l 4lu94 43a73 S7o.3l 42-a 79 37.59 45.64 4l:a6l 44.86 48a07 45.06 46.84 45-a 74 47 .• 35 45.13 47a57 48a-96 46a46
g
139.54 143.27 15lc,90 146a9l 155.13 l50es81 l48al0 145 .• 59 l4la 73 151~_72 153a32 l60a86 149a37 154 .. 58 160075 l57a88 146.33 156.31 152.04 158a95 158094 l58a.52 150~25 155al4 156.28 15la96 · 155 •. 30 150a89
• IS Cl Oa99505 g/ml ·
Weight .-Temperature Specific Flask Gravity
g
llio40 111~24 llla66 l~h31 109.64 lllc,.38 l).Oa73 llla77 ll0al6 llla98 ;q.2a31 :1.12~10 111,.59 l+Oa06 110075 ll0a'46 107a 21 · llla4l l08a35 1141137 111.65 ll4-al3 109~81 112.ss l07cs29 107.93 108043 108.31
oc
64a9 65.8 6605 67ol 67a7 68 .. 3 69a0 69o5 70 •. 0 70a7 71.c,2 ''?l~ 8 72o3 72a8 73a3 . 73a8 74a4 74.9 75~4· 76o0 76:.7 77o3 77,.9 78.,.5 79-o2 79-.9 8006 8La3
25/25
0p7900l Oa79292 Oo796l0 Ou79977 Oa80256 Oa8053). Oa80809 Oo8l0;.l.7 Oa81278 Ocs8l55'l Oa.81~31 Oo8~064
·oe,82294 00825.51 Oa828il 0~8302~ 0483244 Oa83509 0q83794· Oa.84022 Oe184313· Ocs84556 Oa84868 Oa85099 Oa85454 OQ85718 Oa861~9 · 0p86507
- 6o -
2aBLE VI (Continued)
Distillation~: Trial 1
· System: Methanol-Water
.Sample Volume Weight Weight Temperature Speoifio No. Feed Distillate Flask oc Gravity
+ Flask ml ' g g 25/25
29 47 .. _10 . 158-.15 112.44 82.0 0.86908 30 42.98 164-. 22 112.17 82 •. 9 o. 87340 31 40.40 157-.08 llL106 83.6 0.87774 32 42.99 154.17 112.01 84.·4 0.88210 33 45.75 151.33 112.20 8Sa2 0.88663 34 46 .. 86 157 .. 73 109.95 86.l Oi:i89l66 35 46.]36 156,.06 110.00 87.0 Oa89'709 36 46.18 159.83 110.83 87.9 0.90298 37 49.89 i52a97 112.27 88.8 0.90888 38 49 .• 19 158.03 110.55 89 .. 7 0.91495 39 48.48 15$.88 111.39 90a6 0~92198 40 49. 58· 156.34 - 109.78 91 .• 5 0.92891 41 49.26 l57-a57 111.75 92-.4 0.93563 42 48.86 152.65 108.17 93.3 o. 94237 43 49.59 154.39 111. _57 94.0 0.94837 44 49.29 is5sa84 108.86 94.7 Oa9543l
TABLE VII
Distillation Data: Trial 2
Syste:I\~ n-Propyl Alcohol-Water
- 6l. -
Initial·weight of solution charged in distiiling flask. • • • • . . .• . • • • 1439.7 g
Feed Temperature ........... . . . . 31.0 °C
Feed Density • • • • • • • • • • • • • • • • • • 0.9954 g/ml
Charge Composition· • • • • • • • • • • • • • • • • 99 .• 90% n-Propanol 0.107o Water
Sample .No.
1 2 3 4
6 7 8 9
10 11 12 13 14 15 16 17 18 19 20 21 22 23
voiume Feed
ml
45.18 50.37 45.56 49.19 44.27 44-.93 46.11 47-.96 45.58 45 .• 91 45.62 44.42 46.50 46.09 46.34 46. 21. 45.43 41.35
·49.49 46.46 47.21 4S.66 42.02
Weight Distillate
+ Flask g
147.60 152.~ 28 143.58 148.77 155.68 151.23 149.13 146.93 144 .• 17 153.77 150.70 152.75 149-.47 146.77 153.87 149 .• 12 153.41 159.60 151.00 154.66 156.48 156.81 147.36
Weight Flask
g
111.35 111.29 111.66 111~37 109.68 111.42 110.78 111.79 llO.i9 111.98 112~32 112.10 · 111.65 110.08 110.77 110.45 107.20 111.42 108.37 114.35 111.63 114.13 .. 109.81
Temperature oc
92.3 90.0 88.7 88.0 87.6 87.3 .86.9 ·86.9 86.9 86.8 . 86.8 86.8 86.9 86.9 86.9 87.0 87.0 87.0 87.0 87.1 . 87 .• 1 87.1 87.1
Specific Gravity .·
30/30
0.80979 0.82494 0.83337 0.84142 0.84649 0.84973 0.85275 0.85470 0.85688 0.85884 0.85975 0.86080 0.86168 0.86268 0.86304 0.86396 0.86420 0.86489 0.86534 · 0.86537 0.86575 0.86620 0.86631
Sample Volume No,. Feed.
ml,~;
24. .41 .• 10. 25 40.78
·26 40.70 27 ·40.50 28 · 41.79 29 44 .. 42 30 40,;77 ·31 4la08 32 42·.16 33 40.82 34 47.98 35 48.37 36 48.65 37 48.71 38 47.52 39 46~73 40 48.85 41 45.75 42 47.80 43 · 4f;3-.18 44 47.55 45 49.35 46 47 .. 68
TAB~ VII (Continued)
Distillation Data: Trial 2
Syste!I\.: n-Propyl Alcohol-Water
Weight .Weight Tempera t_ure Distillate Flask
+ Flask g g oc
165.71 112.ss 87.2 154.35 107._28 87 .• 2 153.17 107.95 87.2 153.66 108.·43 87 .. 3 156.21 108.33 87 .. 3 156.50 112.44 87.4 159 .• 17 112.11 87.4 157.97 111.06 87.5 159~47 112.04 87.5 153. 9·5 112.25 a1 .•. 5 152.75 109.96 87 .• 6 154. 59· 110~03 87.7 157 .• 49 110.81 87.8 154.04 112.26 88.0 i56.l4 110.53 88.2 159.96 111.39 88.4 151.30 109 .. 78 88.8 155.99 111 .. 75 89.2 l59a82 ·111. 55 89.9 158.98 108.86 90.7 161,. 55 114 .• 86 91.6 155.00 110.98 92.6 ·157.10 109.3~ 93,.9
- 62 -
Specific Gravity
30/30
0.86670 Oa86713 0.86714 0.86737 . 0.86790 0.86785 0.86820 Oa86877 0.86876 0.86912 o. 86971 0.86985 0.87054 0.87138 Oa87210 o. 873 52 o. 87555 . 0.87783 0.88150 0.88Q88 0.89308 0.90163 o. 91315
TABLE VIII . .
Distillation Data: Trial 3 -- -Szstem_: · Acetone-Methanol
Initial weight of _solution charged in distilling flask. . . . . ~ . . • 1206.36 g
Feed Temperature . . . . . . .• . . . . . . 24.0_
Feed Density •• • • • • • • . . 0.7877 g/ml
Sample Volume Weight Weight Tempe;rature Refractive No. Feed Distillate Flask 0 Index
+ Flask 25 ml g g.· oc nd
1 31·.90 160.18 111.16 . -55. 7 1.35573 2 29.40 159.32 111.48 55.7 l.35522 3 32.61 16·2 .02 111. 20 55.7 1.35483 4 33.09 164.63" 109.55 55.7 1.35439 5 34.84 163.48 111. 26 55.7 1.35406 6 26.73 161.82 109.43 55.7 1.35379 7 30.01 160.13 110~ 63 55.7 l.35348 8 38~93 l60.22 111. 63 55.7 1.35305 9 40.51 161.85 110.02 55.9 1.35260
10 40.80 161.53 111.82 . 56.0 1.35205 11 42.57 1ss. ?a· 112 .15 56.2 1.351"50 12 ·43.01 156.56 lli. 96 56.3 1.35110 13 40.53 · 168.76 111. 50 56.6 l.35058. 14 41.25 161. 98 109~88 56.8 l.35010 15 41.20 161.35 110.65 57.0 1.34966 16 41.31 157.96 110.30 · 5_7. 3 .l.3.4906 lT 43.68 157.98 110. 48 57.6 1.34851 18 44.41 159.97 107.12 58.1 l;.34802 19 44.93 162.88 114.15 58.6 1.34742 20 40.91 167.71 111.44 59.2 l.:3"4676 21 43.42 158.77 ll3. 93· 59.7 1.34608 22 .41. 89 156.58 109.61 60.3 1.34560 23 41.64 156.33 107.75 61.0 1.34493
~ <
TABLE IX
Distillation~: Trial 4
83:stem.,,:. Aaetone-Methanol-Water
Initial weight of solution charged in distilling flask. . . . . . . . . . • • 1435.3 . g
Feed Temperature • • • • • • • • • • • . • • • • • • · 26. 5 °C
Feed Density • • " • • • · • ,, . . . . . . . . . . . 0.9581 g/ml
Composition of Charge. •. . . . . . . . Composition of Feed • .. • • • • • • ...
Sample Volume Weight Weight No. F~ed Distillate Flask
+ Flask ml g g
l 47.41 182.6 112.0 2 46 .. 30 185.2 111.7 3 46 .• 88 175.2 110.0 4 47 .• 22 . 178. 5 111.7 5 47.46 175.2 109.9 6 45 .• 45 182 .• l 111.1 7 47.54 173 ... 9 112.1· 8 48.62 174.2 110 •. 5 9 44.74 193.7 il2.3
. . . . • •
. . . . 99. 64% Acetone o.sei·water
23.101o Methanol 76. 90% Water·
Temp Specific Refraot. Index Gravity
°C 25/25 25 nd
55.9 o.79019 l.35689 56. 5 o.79393 1.35732 57 .• 1 o. 79~,0l. l.35757 57.5 0.79865 1.35782 58.0 o.79984 l.35800 sa.s· 0.80061 1.35808 59.0 0.80179 i.ssaps 59.5 0.80234 l.35808 60.0 0.80049 · 1.35800
10 47.29 201.9 112.6 · . 60.4 0.80422 1.35797 11 46.00 192.1 112.4 60.9 0.80540 1..35822 12· · 48.08 191 .• 5 112..0 61.7 o. 80616 1 .• 3579:r 13 47 .• 20 197~0 110.4 62.4 0.-80757 1.35797 14 47.91 196.3 111.1 63.0 0.8088S 1.35779· 15 47 .• 02 186-.6 110.s 64.0 0.81019 1.357'75 16 46.43 l9S.O 110.~ 65.3 0.81263 1.35761 17 41.10 200.6 107.5 67.3 0.81579 1.35761 18 42.30 198.7 111.7 69. 7 o. 82040 1.35732
- 65 -
TABLE X
Distillation Data: Trial 5 ---------i Sy:ste.m: Acetone-Methanol-Water ...
Initial weight of solution charged in distilling flask. . . . • • G a 1479.56. g
Feed Temperature aaoo•••••••.•a••a• ·25.0
Feed Density • .. o o •• ·11 • • • .. • Ill • p • • • a.
Composition of Charge. a •• •••• a,. •• o ~.
0.8688 g/ml
99a3% Acetone 0.7% Water
(.;omposition or Feed • a. o o a ~ ,. o ,, .a • 11 • • • o 69lJ44% Methanol
Sample Volume Weight Weight Noa Fe.ed Distillate Flask
-+ :?lask-ml g g
1 37.90 172.;.65 111.44 2 56.02 175.35 111.20 · 3 53.96 176.17 111.13 4 54.56 . 175. 90 111.64 5 53.11 179..27 111.33 6 52.84 18h96 109'..68 7 59.67 191..47 111.39 8 57.68 184.12 109.56 9 51.60 187..61 11.0.77·
10 55.95 188.75 111.76 11 57.-59 l8la32 110.15 12· · 55".07 189.19 · 111.96 13 60.23 185,.01 112.30 14 53.39 188~86 112~10 15 57.80 184 .. 59 llL.64 16 58.64 181"77 110.04·
30a56% Water·
Temp Specific Refract. Gravity
· 0 c - 25/25
56.6 0.78854 56.6 0.79020 56.7 0.79195 56.9 0079330 57.2 0.19432 57.,.3 · 01179540 57.7 0.79630 58.0 o. 79749 58.4 o.79831
· .58.7 0079956 59.2 0.80038 59..7 0,80159 60o2 0.80253 60.8 0.80348 61.4 0 .. 80440 62.0 Q,.80569
Index·
25 nd
l.035610 1.,35587 1.35569 1 .• 35555 1.35540 l.35522 1.35504 1.354.83 l_.35457 1.35439 1.35414 1.35388• 1.35359 1,.35327• 1.35294 1.35249
- 66 ~
TABLE XI
Distillation Data: Trial 6 -Szst em: Acetone-Methanol-Water •
Initial weight of ·solution charged in distilling flask • D • • . .. • • • a • 1506.25 g
Feed Temperature • a • • .. • • • • • • • • • • .a • 25.0 · 0 c
Feed Density •••• o · " •
Composition·of ·charge • • • •
Composition of Feed •• a • •
Sample Volume Weight No. Feed Di:;ltillate
+ Flask ml g
l 62.03 170_ ... 25 2 71 .. 43 .169.08 3 68.79 173 .. 21 4 68 .. 98 173 ... 75 5 73.59 178,.~0 6 66_. _51 173.89 7 68.90 172.{3 8 7la 98 · -170. 94 9 80.16 179..59
10 41070 18~58" 11 74.35 177 .• 77 12 66.90 179.53 13 72.34 178-,. 92 14 41.73 172.13
• • • • • • • • • • . o. 9847 g/ml
• • • • •
a • " • •
Weight Flask
g
111.13-lll-a64 111.33 109 •. 68 111.39 109.56 110.77 111~76· 110.15 · 111 .• 96 112-.30 112 .• 10 111.64 110.04
. .. • • • •
• • • • • •
52 .<:J'/o Acetone 48.0% Water
7.33% Methanol 92.67% Water
Temp Specific Refract. -Gravity Index
oc 25/25 25
nd
65.3 o. 80773 1-.35898 66.0 0.80966 1 •. 3589_8 66.8 0.81008 l,,35905 · 67 .• 8 . 0.81170 1.35912 68 .. 7- .·o .. a134s 1.3.5919 69.9. Oa81615 1 .• 35937 71.6 Oa81~66 1.35962 74.3 0.82398 1 .• 36002 " 77~5 0083168 1.36067 79 .. l o. 83697 1.36088 82.2 Ch"844·93 l.36116 81.2 0~86167 1.36145 90.2 0.88058 1.36095 9l.3 o. 90833 1.35854
TABLE ·XII
Distillation Data: Tria1·7 ---System: Acetone-Methanol-Water
... ·--Initial weight of solution charged in dist~lling flask. Q. 0 •
Feed Density .• o a o •• o • • • • • • • •
• • 1276.91 g
• • . . 0.8721 g/ml
Composition of Charge •. a ·• • • • • • • • • • • • • · 3 7. 9% Acetone 60a0% Methanol 2.11, Water
Compositi.on of Feed • O a O a D a a . . . . . .. 69.3% Methanol 30.7% Water
Sample Volume Weight Weight Temp Specific Refract. No. Feed Distillate Flask Gravity Index·
.·+ Flask 25 ml g g oc 25/25 nd
1 64.92 172 .. 18 111.13 61.5 o.79314 1.34489 2 69 .• 64 166.02 111.64 · 62.2 o.79448 ln34470 3 70.25 162.97 111.33 63.2 0.79522 1.34478 4 62.51 165 .• 87 lll.39 64.2 o. 79738 1.34433· 5 64-.94 167.~4 109.56 65.0 Oa79816 1-.3:4407 6 67.87 170.06 110.77 65.7· · · o. 79986 l.34369 7 72.79 165 .• 90 111. 76 66.4 0.80107 1.34358 8 62.39 173. 51 110.15 67.2 0.80232 1.34305 9 6lo48 · 169 .• 26 111.96. 67.6 0.80352 ~--3426.4
10 62 .• 29 171-a 52 112 .30 · . 68 .1 01180461 1.34214 11 58 .. 88 1soa6 112.19 68.5 01180537 1.3·4173 12· 67 .. 09 174.:32 116.64 68.8 o.·ao6'57 l.34124 13 65.24 181..26 110.04 69.3 0.80749 laS4082 . 14 56.40 180.,03 ·110.66 69.7 0.80902 1-.34029 15 75.75 178.37 107.17 70.0 0.81038 1.33972
- 68 -
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-n-
IX. ACKNOWLEDGMENTS ..
The author wishes to ·express ·his apprec;dat'ion to Dr. R.S.
Rama~~o for his.suggestion of this project. ·He also supplied a
great many useful. suggestions for accomplishing the ·research.
Appreoia1:ion is al_so extended to Dr. W.J. Jani.es ·whose many
timely suggestions ·and ca.pable direction contributed greatly to
the project ..
A further word of appreciation .is extended to Mr. O.IC. Lay.
His aid in construqtion o~ much of the equiµnent was of great value •.
- 72 -
The writ~r of this thesis, David William Bunch, was born at
Eldon, Missouri, January 20~ 1936. ·After attending the public schools
of Eldon and: Mexico, Missouri, he enrolled in the Missouri School
of Mines at Rolla in ~ptember1 1953. He reoeived the Bachelor of
Science degree in Chemical Engineering in -!\.ugust, 1957.
In September, 1957, he enrolled as a candidate for the Master
of .Science q.egree in Chemical Engineering. Sinoe that date he ha,s
been employed as ·an instruotor in chemical engineering at the Missouri
School of Mines, w~th the_e.xoeption of six months duringwh!ch he
served as a second li-eutenant in the United .States Anny Corps of
Engineers.