Tuesday 6 December 2016

Practical 3a: Phase diagram

AIM:
ü  To learn the methods of determining the solubility limits in a ternary system (water, ethanol and toluene) with components of different miscibility.
ü  To practice the correct method to plot and obtain the solubility curve of the ternary system on a triangular diagram.

DATE OF EXPERIMENT:
7 NOVEMBER 2016

INTRODUCTION:
          When we are preparing pharmaceutical formulation, the knowledge on mutual
solubility and phase diagram can be applied as it often involve the mixing of more than one components. At the same time, a homogeneous form of resulting formulation is formed. This requirements can be made possible by knowing the exact ratio of each component needed to be mixed where the temperature and pressure of the surrounding has to be taken into consideration.

        Ethanol, Toluene and Water were the three components involved in this experiment. If water and toluene mixed together with ethanol in suitable proportion, a homogeneous solution is formed at equilibrium. The theory behind this phenomena is that solutions are homogeneous because the ratio of solute to solvent remains unchanged throughout the solution even if homogenized with multiple sources, and stable because the solute will not settle out after any period of time, and it cannot be removed by a filter or centrifuge. There are 3 components but only 1 phase exists.

       At constant pressure and temperature, the compositions of the three components can be stated in the form of coordinates in triangular diagram.



Figure 1 shows the example of a triangular diagram. Triangular diagram is very convenient in determining the compositions of three components as each apex will represent one type of pure component, with an amount of 100%. Meanwhile, each side of the triangle represents the mixture of two components. For instance, the side connecting A and B shows the mixture of A and B. Within the triangle, all three components are shown.

 For any line that is parallel to any side of the triangle, constant percentage of a component is shown. For example, DE ,which is parallel to BC, shows 20% of A with varying amount of B and C. Also, FG, which is parallel to AC, shows 30% of B with varying amount of A and C. The point of intersection of the three parallel lines will show the composition of each components in a mixture at the instance. For example, K which is the intersection point of DE, FG and HI shows that there are 20% A, 50% B and 30% C. It is appropriate to measure in this way because the sum of all distances from K, which are KI, KC, KE, KH, KG and KD equals to the length of any one side of the triangle.
When a third component is added into a pair of miscible liquids, for instance when water is added into ethanol and toluene, their mutual solubility will change. If the third component is more soluble in one of the two components, the mutual solubility will decrease. On the other hand, if the third component is soluble in both two components, the mutual solubility will increase. The mutual solubility will only increase until the mixture becomes homogeneous, for example become clear.

EXPERIMENTAL METHOD – APPARATUS:
Burette
Funnel
Pipette 10ml
Pipette pump
Conical Flask
Beaker 100ml
.
EXPERIMENTAL METHOD – CHEMICALS:
Toluene
Ethanol
Distilled water

EXPERIMENTAL METHOD – EXPERIMENTAL PROCEDURE:

  1.    20 mL of mixtures of ethanol and toluene are prepared in conical flasks as below according to fixed ratio:
Beaker
Percentage of ethanol (%)
Percentage of toluene (%)
Volume of ethanol (mL)
Volume of toluene (mL)
A
10
90
2
18
B
25
75
5
15
C
35
65
7
13
D
50
50
10
10
E
65
35
13
7
F
75
25
15
5
G
90
10
18
2
H
95
5
19
1
  1.    Distilled water is titrated into mixture into conical flask A and shaken until cloudiness (due to the existence of second phase) is observed.
  1.    The amount of distilled water titrated is recorded in the Table 1 below. The room temperature is recorded.
  2.    Step 2 to step 4 are repeated for conical flask B, C, D, E, F, G and H.
  3.    Step 1 to step 5 are repeated for second measurement. The result of the second titration is recorded in Table 2 below.
  4.    Average volume of water added into each conical flask is calculated from the first and second titration.
  5.     New percentage of each components in the mixture after titration is recalculated.
  6.    All results calculated in step 6 and 7 are tabulated in Table 3.
  7.    A solubility curve is drawn on a triangular diagram.

  1. RESULT
Initial Percentage of ethanol (%)
Volume of ethanol (mL)
Volume of Toluene (mL)
Volume of water added (mL)
Titration I
Titration II
Average
10
2
18
4.50
3.70
4.10
25
5
15
0.50
0.70
0.60
35
7
13
0.90
1.10
1.00
50
10
10
1.70
1.60
1.65
65
13
7
2.00
1.90
1.95
75
15
5
3.80
3.50
3.65
90
18
2
11.10
10.90
11.0
95
19
1
15.10
14.80
14.95

Volume (mL)
Percentage (%)
Ethanol
Toluene
Water
Total
Ethanol
Toluene
Water
Total
2.00
18.00
4.10
24.10
8.30
74.70
17.00
100
5.00
15.00
0.60
20.60
24.30
72.80
2.90
100
7.00
13.00
1.00
21.00
33.30
61.90
4.80
100
10.00
10.00
1.65
21.65
46.20
46.20
7.60
100
13.00
7.00
1.95
21.95
59.20
31.90
8.90
100
15.00
5.00
3.65
23.65
63.42
21.14
15.43
100
18.00
2.00
11.0
31.00
58.10
6.45
35.50
100
19.00
1.00
14.95
34.95
54.36
    2.86
42.78
100



Triangular Diagram Plotted:



DISCUSSION:
For a three-component systems, the composition of all three phases can be expressed in the ternary phase diagram. Each side of the triangular diagram corresponds to one of the three components in the system. By following the phase rule, that is applied for prediction number of stable phases may exist in equilibrium for a particular system, it is determine that a single phase in three components system may possess four degree of freedom.
F = C-P + 2
= 3-1+2
= 4
F = degree of freedom
C = number of components
P = number of phases
Since there were four degree of freedom, four of the intensive variables which are pressure, temperature and two out of three concentration of the components may vary independently to achieve the equilibrium. Only concentration of two components are required to define the system at equilibrium as the concentration of the third component can be known by subtracting the concentration of the first two components given from the total concentration.
For this experiment, the water and toluene usually form two-phase system as they are just partially miscible. However, ethanol is completely miscible with both of the water and toluene, it is therefore expected to act as a surfactant and the increased concentration of ethanol in the partially miscible, two-phase system of toluene and water would eventually produce a single-phase where all 3 liquid are miscible. Hence, with the sufficient amount of ethanol in the toluene-water system, a single-phase system is produced where all the components are miscible and the mixture is homogeneous. This is shown in the ternary phase diagram that has been plotted in the triangular diagram.
In the experiment, water is added into the ethanol-toluene mixuture, and the solubility of ethanol in water and toluene in water are markedly different. Toluene is insoluble in water while ethanol is soluble in water due to the presence of hydroxyl group. The mutual solubility of the original homogenous pair (ethanol and toluene) is decreased when water is added into the system. Therefore, cloudiness is observed due to the presence of two phase liquid.
From the triangular paper, the curve of the plotted graph is known as binodal curve. The region bounded by the binodal curve indicates the presence of two phases while the region above the curve shows one phase of homogeneous solution. The mixture within the bounded region appears cloudy as there are phase separation due to the insufficient amount of ethanol to produce homogeneous mixture. Meanwhile at the upper region, the addition of ethanol allows the two phase solution to be in one phase.
There were errors arised in this experiment. First error is degree of cloudiness. Requirements for the degree of cloudiness in the experiment is not specific leading the inaccurate reading amount of water added and the result obtained is affected. Next error is both of the ethanol and toluene are volatile liquids which some of them might vapourize and the measured volume may be less than the actual volume that has been measured earlier. The total volume of water needed during the titration is influenced. Moreover, the apparatus also may affect the result obtained. As some of the conical flask used is not completely dried and can cause a slight dilution. In obtaining a good result, precautions need to be taken to minimize the errors.

CONCLUSION :
Toluene, ethanol and water system is a ternary system with one pair of partially miscible liquid ( toluene and water). The addition of sufficient amount of ethanol to the toluene-water system able to produce a single liquid phase in which all the three components are miscible and the mixture is homogeneous.

REFERENCE :
1. Martin's Physical Pharmacy and Pharmacautical Science, Sixth Edition, Patrick J. Sinko, Wolters Kluwer, Lippincott Williams & Wilkins.
2. Physicochemical Principles of Pharmacy , 4th edition (1998) . A.T. Florence and  D.Attwood. Macmillan Press Ltd.

QUESTIONS :
  1. Does the mixture containing 70% ethanol, 20% water and 10% toluene (volume) appear a clear or does it form two layer?

Following the phase diagram, at these concentration, the solution appear clear.


2.    What will happen if you dilute 1 part of the mixture with 4 parts of (a) water (b) toluene (c) ethanol ?

1 part × 70% ethanol  = 1 part × 70/100 = 0.7 part of ethanol
1 part × 20% water   = 1 part × 20/100 = 0.2 part of water
1 part ×10% toluene  = 1 part × 10/100 = 0.1 part of toluene

(a) 1 part of mixture4 parts of water
Ethanol =(0.7/1+4) x 100%
=14%
Water =(0.2+4/1+4) x 100%
=84%
Toluene=(0.1/1+4) x 100%
=2%

According to the phase diagram drawn, this mixture lies outside the area of
bounded by the binodal curve. Therefore, a clear homogenous liquid phase of
solution is formed.

(b) 1 part of mixture + 4 parts of toluene
Ethanol =(0.7/1+4) x 100%
=14%
Water =(0.2/1+4) x 100%
=4%
Toluene=(0.1+4/1+4) x 100%
=82%

According to the phase diagram drawn, this mixture lies outside the area of
bounded by the binodal curve. Therefore, a clear homogenous liquid phase of
solution is formed.


(c) 1 part of mixture + 4 parts of ethanol
Ethanol =(0.7+4/1+4) x 100%
=94%
Water =(0.2/1+4) x 100%
=4%
Toluene=(0.1/1+4) x 100%
=2%

According to the phase diagram drawn, this mixture lies outside the area of
bounded by the binodal curve. Therefore, a clear homogenous liquid phase of

solution is formed.

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