Friday 4 December 2015

Practical 3 : Phase Diagrams (Part A)

Aim/Objective                        : Determination of Phase Diagram for Ethanol/Toluene/Water                                                            System Theory                                                                  
Date of experiment                : 3 November 2015

Introduction                           :
Phase diagrams are graphical representations of the liquid, vapour, and solid phases that co-exist at various ranges of temperature and pressure within a reservoir. For three component systems at constant temperature and pressure, the compositions may be stated in the form of coordinates for a triangular diagram.
                            
In the diagram, each corner of the triangular diagram represents a pure component A, B and C respectively which all are 100% pure. Meanwhile, each side of the triangle represents two-component mixtures and within the triangular diagram itself represents ternary components. Any line parallel to a side of the triangular diagram shows constant percentage value for a component, for instance, line DE shows 20% of A with varying amounts of B and C, line FG, showing all mixtures containing 50% of B. The interception point, K contains 20% A, 50% B as well as 30% C. Measurements can be made this way because in a triangular diagram, the sum of all distances from K which is drawn parallel to the three sides of the diagram is same and equals to the length of any one side of the triangular diagram.
The mutual solubility of two miscible liquids can be altered when a third component is added into them. If this third component is more soluble in one of the two different components the mutual solubility of the liquid pair is decreased. On the other hand, if it is soluble in both of the liquids, the mutual solubility is increased. When ethanol is added to a mixture of benzene and water, the mutual solubility of the liquid pair increased until it reached a point whereby the mixture becomes homogenous. Examples of three-component systems that have been studied include castor oil, alcohol, water; peppermint oil, propylene glycol, water; peppermint oil, polyethylene glycol, water.
The benefits of preparing an oily substance as homogenous water in liquid are already clear. However, what will happen to a system like this when it is diluted should be known and this can be explained through the understanding of the triangular phase diagram. Figure 1 is also for the system containing components peppermint oilpolysorbate 20-water. A concentration of 7.5% oil, 42.5% polysorbate 20 and 50% watre (point A in diagram)  can be diluted for 10 times with water giving a soluiton that is still clear (now containing 0.75% of oil, 4.25% polysorbate 20 and 95% water). However, the soluiton turns cloudy, point B' (44.55% oil, 45.45% polysorbate 20, 10% water) when 1mL of water is added to 10mL of clear solution B (49% oil, 5% polysorbate 20, 1% water). If 1mL of water is further added, the solution becomes clear, point B'' (40.5% oil, 41.3% polysorbate 20, 18.2% water) but if the original solution is diluted three times (16 1/3% water, 16 2/3% polysorbate 20, 67% water) the solution becomes cloudy.

Experiment
Determination of phase diagram for ethanol/toluene/water system
1.        Each determination in the experiment must be done twice.
2.      Mixtures of ethanol and toluene are prepared in sealed containers measuring 100cm3 containing the following percentages of ethanol.

Container
Ethanol
Toluene
Percentage (%)
Volume (ml)
Percentage (%)
Volume (ml)
A
10
2
90
18
B
25
5
75
15
C
35
7
65
13
D
50
10
50
10
E
65
13
35
7
F
75
15
25
5
G
90
18
10
2
H
95
19
5
1
            
3.     20mL of each mixture is prepared by filling a certain volume using a burette (accurately).
4.     Each mixture is titrated with water until cloudiness is observed due to the existence of a second phase.

5.     A little water is added and shaken well after each addition.
6.     The room temperature is measured.
7.        The percentage is calculated based on the volume of each component when the second phase starts to appear.
8.        The points are plotted onto a triangular paper to give a triple phase diagram at the recorded temperature.

Results

Conical Flasks
Ethanol
Toluene
Volume of water(mL)
Percentage (%)
Volume (mL)
Percentage (%)
Volume (mL)
I
II
Average
A
10
2
90
18
1.3
0.9
1.1
B
25
5
75
15
1.4
1.2
1.3
C
35
7
65
13
1.4
1.4
1.4
D
50
10
50
10
1.9
2.1
2.0
E
65
13
35
7
3.5
3.1
3.3
F
75
15
25
5
5.5
4.7
5.1
G
90
18
10
2
9.6
10.0
9.8
H
95
19
5
1
15.4
15.0
15.2

Conical Flasks
Total Volume of solution
(V+20 mL)
Ethanol
Toluene
Water
Volume (mL)
Percentage (%)
Volume (mL)
Percentage (%)
Volume (mL)
Percentage (%)
A
21.1
2
9.48
18
85.31
1.1
5.21
B
21.3
5
23.47
15
70.42
1.3
6.10
C
21.4
7
32.71
13
60.75
1.4
6.54
D
22.0
10
45.45
10
45.45
2.0
9.09
E
23.3
13
55.79
7
30.04
3.3
14.16
F
25.1
15
59.76
5
19.92
5.1
20.32
G
29.8
18
60.40
2
6.71
9.8
32.86
H
35.2
19
53.98
1
2.84
15.2
43.18

Triangular Phase Diagram






Discussion
The phase diagram above shows the relationship of a three component system which is toluene-water-ethanol system. The curve drawn in the triangular phase diagram is a binomial curve. However, from the triple phase diagram above, the binomial curve is incomplete and a tie line is not obtained. Each corner of the triangle (X,Y,Z) represent 100 % of water, toluene ,and ethanol whereas the other two component are 0% . X-Y line represent water-toluene system, Y-Z line represent toluene-ethanol system, Z-X line represent ethanol-water system. As we going along X-Y line towards Y, it shows that the concentration of toluene is increasing whereas the concentration of the water is decreasing. As we going along Y-Z line towards Z, the concentration of ethanol is increasing whereas the concentration of toluene is deceasing. As we go along Z-X line, the concentration of water is increasing whereas the concentration of ethanol is decreasing. Any line drawn parallel to one side of the triangle represents ternary systems in which the proportion (or percent by weight) of one component is constant. The area within the triangle represents all the possible combinations of ethanol, toluene and water to give three-component systems. The area bounded by the binomial curve indicates a two-phase region while the area unbound by the curve is a single-phase region.
When toluene is mix with ethanol , the mixture shown a homogeneous solution.This shows that toluene is miscible in ethanol . However ,when distilled water was titrated into the mixture of toluene and ethanol , the solution had become cloudy . The appearance of cloudiness indicates that a two-phase system is created . According to the results obtained in the experiment , when there is a higher percentage of ethanol compared to the percentage of toluene in the mixture, the volume of water needed to titrate the mixture until cloudiness is observed is higher. On the other hand , when there is a lower percentage of ethanol to the percentage of toluene in the mixture, the volume of water needed to titrate the mixture until cloudiness is observed is lower . These observation indicates that the ethanol had act as the surfactant that had increased the miscibility of the other two components .
The number of degrees of freedom is very important in this experiment to improve the accuracy of the results obtained. The number of degrees of freedom the least number of intensive variables (temperature, pressure, concentration, refractive index, density, viscosity, etc) that must be fixed to describe the system completely .Thus , phase rule can be applied to find out the degrees of freedom. A phase rule is a useful device for relating the effect of the least number of independent variables (e.g., temperature, pressure and concentration) upon the various phases (solid, liquid, and gaseous) that can exist in an equilibrium system containing a given number of components .
For a system at equilibrium the phase rule relates:

F = C - P + 2

·         P = number of phases that can coexist, to
·         C = number of components making up the phases, and
·         F = degrees of freedom.
In this experiment , the number of component that making up the phases is 3 . The number of phases that can coexist is 1 . Thus,we can conclude that the degrees of freedom in this experiment is 4 (F=3 - 1+2 =4).Hence, 4 degrees of freedom is needed . They are pressure,temperature and the concentration of two of the three components in the experiment . The temperature of the experiment was fixed as room temperature.
There are several errors and precautions in this experiment. One of the errors is the parallax error that may be done when taking the reading on the burette. Next, ethanol and the toluene are volatile liquid. They will easily evaporated and evaporation of the these liquid may affects their proportion or volume in the mixture as some of them had evaporated as vapour. Moreover, impurities and the contamination of the mixture may serve as another error. If the conical flask is not dry completely, the water particle which remained in the conical flask will affects the results obtained in the experiment . Besides, it is hard to maintain a fixed room temperature. A fixed temperature is very important to maintain the accuracy of the results as temperature is considered as one of the degrees of freedom.
The precautions that should be taken into account is that we should make sure that our level of vision should perpendicular to the scale on the burette when taking the reading on the scale to prevent parallax error. Next, since the ethanol and toluene are volatile liquids , the liquids should be pipetted out directly from the toluene and ethanol bottles to minimized the evaporation of the liquids . Moreover the mixture of the toluene and ethanol in the conical flask should be covered up quickly using aluminum foil to minimize the evaporation of liquids too . Moreover , we should make sure that all the apparatus that will be used in this experiment is cleaned and dry to reduce the percentage of errors .
The mixture of toluene and ethanol in the conical flask should be covered quickly using aluminium foil to minimize the evaporation of liquids.

Answering questions
 Does the mixture containing 70% ethanol, 20% water and 10% toluene (volume) appear clear or does it form 2 layers?
At these concentrations of ethanol, water and toluene, the solution remains clear and form one liquid phase. This can be shown by the intersectional point of percentage of ethanol, water and toluene which is above the curve on the phase diagram.

What will happen if you dilute 1 part of the mixture with 4 parts of
(a)    Water
Water    = (0.2+4 / 1+4) x 100% = 84%
Toluene = (0.1     / 1+4) x 100% =2%
Ethanol = (0.7     / 1+4) x 100% =14%
According to the phase diagram, this point is plotted under the curve. Therefore, the mixture exists in 2 phase.
(b)    toluene
Water    = (0.2      / 1+4) x 100% = 4%
Toluene = (0.1+4 / 1+4) x 100% =82%
 Ethanol = (0.7     / 1+4) x 100% =14%

According to the phase diagram, this point is plotted above the curve. Therefore, the mixture exists in a clear single liquid phase.
(c)     ethanol
Water   = (0.2      / 1+4) x 100% = 4%
Toluene= (0.1      / 1+4) x 100% =2%
Ethanol = (0.7+4 / 1+4) x 100% =94%
According to the phase diagram, this point is plotted above the curve. Therefore, the mixture exists in a clear single liquid phase.




Conclusion
The curve drawn in the triangular phase diagram is a binomial curve . The area bounded by the binomial curve indicates a two-phase region while the area unbound by the curve is a single-phase region . From this experiment,we can conclude that ethanol is the surfactant that can improve the miscibility of toluene in water to form a homogeneous solution.

References
1.      Physicochemical Principles of Pharmacy , 3rd edition (1998) . A.T. Florence and D.Attwood. Macmillan Press Ltd.
2.      Physical Pharmacy: Physical Chemistry Principles in Pharmaceutical Sciences, by Martin, A.N.



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