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CHAPTER 7
RESULTS AND DISCUSSION
7.1 INTRODUCTION
This chapter discusses the results of the experimental investigations
carried out and are presented in seven sections. Section one and two discuss
the effect of hydrotropes on the solubility and mass transfer coefficient of
acids and alizarin respectively. Section three discusses the effectiveness of
hydrotropes based on Setschenow constant (Ks) values of each hydrotrope
towards a series of acids and alizarin studied. Section four discusses about
association constants (K2 and Khs) from association model which is used to
represent the solubilization of organic acids and alizarin in hydrotrope
solutions.
Section five discusses the influence of solution properties on the
possible mechanism for the solubilizing effect of hydrotropes. Section six
presents the results obtained using artificial neural network model. The
predicted results were compared with experimental values and statistically
discussed. Section seven discusses the extraction of mangiferin from
mango leaves using hydrotrope solutions. In this section the experimental data
obtained were statistically analyzed using Response Surface Methodology
(RSM) and the extraction condition for maximum yield of mangiferin was
discussed.
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The permutations and combinations of various acid-hydrotrope and
alizarin-hydrotrope systems studied with different hydrotropes under a wide
range of hydrotrope concentrations at different temperatures come to about
2180 experimental data.
7.2 EFFECT OF HYDROTROPES ON THE SOLUBILITY OF
ORGANIC ACIDS AND ALIZARIN
7.2.1 Hydortopes
Hydrotropes such as sodium salicylate, sodium benzoate,
nicotinamide, urea and potassium p-toluene sulfonate (KPTS) were used to
study the effect on solubility of organic acids and alizarin. For organic acids
such as benzoic acid, p-hydroxybenzoic acid, p-nitrobenzoic acid and
cinnamic acid, the two hydrotropes namely sodium salicylate (used for
antiseptic preparations) and sodium benzoate (used as a preservative in food
industry) from aromatic carboxylate group were used in the solubilization
studies.
The other hydrotropes, nicotinamide and urea were selected for
comparison. Since the organic compound alizarin has phenyl group, the
hydrotrope, potassium p-toluene sulfonate with aromatic ring structure is
specifically used for its solubilization study. These hydrotropes are
conventionally used in detergent formulations and drug solubilizations.
Hydrotropes selected for this study are freely soluble in water, non toxic and
does not produce any temperature effect when dissolved in water.
7.2.1.1 Effect of sodium salicylate on benzoic acid
Experimental data on the effect of hydrotrope, sodium salicylate, on
the solubility of benzoic acid is plotted in Figure 7.1. In each case, the
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influence of a wide range of hydrotrope concentration as well as different
system temperatures on the solubility of benzoic acid is also presented.
The solubility of benzoic acid in water at 303K in the absence of the
hydrotrope, sodium salicylate has been observed to be 3.21 x 10-2
mol/L
(Table 7.1). When sodium salicylate was dissolved as the hydrotrope in the
aqueous phase, no appreciable increase in the solubility of benzoic acid from
the value 3.21 x 10-2
mol/L has been observed until 0.50 mol/L of sodium
salicylate was added in the aqueous phase. Above 0.50mol/L, the solubility of
benzoic acid was increased significantly. On further increase in sodium
salicylate concentrations up to 2.50mol/L in the aqueous phase, a clear
increasing trend in the solubility of the benzoic acid was observed and this
trend was maintained up to the solubility value of 30.28 x 10-2
mol/L of
benzoic acid. Beyond 2.50 mol/L of sodium salicylate, no appreciable
increase in the solubility of benzoic acid was observed.
It was observed that the hydrotrope solution containing sodium
salicylate increases the solubility of benzoic acid significantly only above a
concentration of 0.50 mol/L of sodium salicylate. Below this concentration,
no appreciable increase in the solubility of acids takes place. This
concentration of hydrotrope (sodium salicylate) i.e. 0.50 mol/L required to be
present in the aqueous phase to initiate significant solubilization of benzoic
acid is termed as Minimum Hydrotrope Concentration (MHC).
From Figure 7.1 it can be observed that, above 2.50 mol/L of
sodium salicylate concentration, no appreciable increase in the solubility of
benzoic acid was seen even up to the concentration of 3.00mol/L. This
concentration of sodium salicylate in the aqueous phase i.e. 2.50mol/L
beyond which no further increase in the solubility of benzoic acid takes place
is termed as Maximum Hydrotrope Concentration (Cmax).
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Table 7.1 Effect of sodium salicylate concentration (C) on the
solubility (S) of benzoic acid in water
S.NoC,
mol/L
102 S, mol/L
T = 303K T = 313K T = 323K T = 333K
1 0.00 3.21 4.04 5.13 6.08
2 0.10 3.23 4.08 5.36 6.93
3 0.20 3.32 4.13 5.73 7.21
4 0.30 3.36 4.37 5.94 7.39
5 0.40 3.43 4.39 6.03 7.53
6 0.50*
5.29 7.58 10.09 12.01
7 0.60 6.43 8.79 12.04 18.7
8 0.70 7.81 12.76 14.63 22.94
9 0.80 9.32 14.34 19.31 31.73
10 0.90 12.59 19.58 24.89 39.69
11 1.00 15.67 23.13 32.62 52.25
12 1.20 18.79 28.78 41.48 66.37
13 1.40 21.07 35.86 50.22 78.54
14 1.60 24.51 43.02 58.17 91.87
15 1.80 26.32 47.38 69.39 104.21
16 2.00 27.98 47.62 76.5 112.57
17 2.25 28.43 54.28 82.91 115.48
18 2.50**
30.28 56.84 89.31 121.52
19 2.75 30.28 56.93 89.57 121.77
20 3.00 30.32 56.96 89.76 121.92*MHC ;
**Cmax
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0
20
40
60
80
100
120
0 0.5 1 1.5 2 2.5 3
C, mol/L
10
2 S
, m
ol/
LT = 303K
T = 313K
T = 323K
T = 333K
Figure 7.1 Effect of sodium salicylate concentration (C) on the
solubility (S) of benzoic acid in water at different
temperatures (T)
Hence, in the concentration region of sodium salicylate between
0.00 and 3.00mol/L, four different characteristics of sodium salicylate as
hydrotrope were observed. It was inactive below MHC of 0.50mol/L, above
which an appreciable increase in the solubility of acids was found up to 1.00
mol/L. Above this concentration, an abnormal solubilization effect of sodium
salicylate was observed up to Cmax of 2.50mol/L, beyond which there is no
further solubilization effect of sodium salicylate.
Hence, sodium salicylate was found to be an effective hydrotrope in
the concentration range between 0.50 and 2.50mol/L towards benzoic acid. It
has been observed that the solubilization effect of sodium salicylate was not a
linear function of the concentration of the hydrotrope solution.
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A similar trend in the solubilizing effect of sodium salicylate was
observed at increased system temperatures viz. 313, 323, and 333 K. The
values of MHC and Cmax remained unaltered even at higher temperatures.
From Figure 7.1, which shows the effect of sodium salicylate
concentration on the solubility of benzoic acid, it can be observed that in
order to achieve a particular solubility of benzoic acid say i.e., 20.00 x 10-2
mol/L, it is required to maintain the concentration of sodium salicylate in the
aqueous phase at 1.30 mol/L for a system temperature of 303K, 0.90 mol/L
for 313K, 0.80 mol/L for 323K and 0.60 mol/L for 333K. Therefore when the
system temperature is increased, a lesser amount of hydrotrope concentration
is adequate to achieve any particular solubility of benzoic acid.
7.2.1.2 Effect of sodium salicylate on other acids and alizarin
A similar trend in solubilization effect of sodium salicylate has been
observed for other acids namely p-hydroxybenzoic acid, p-nitrobenzoic acid,
cinnamic acid and alizarin. The experimental data for such organic acids-
hydrotrope and alizarin-hydrotrope systems are given in Appendix 2.
From the analysis of the experimental data, it has been observed that
hydrotrope (sodium salicylate) increases the solubility of acids and
alizarin studied significantly. The MHC values of sodium salicylate for
various acids range between 0.40 and 0.60 mol/L. The Cmax values range
between 2.00 and 2.50 mol/L (Table 6.3)
It has also been observed that at increased system temperatures,
lesser hydrotrope concentration is found to be adequate to achieve a particular
solubility of any acid in the presence of sodium salicylate as hydrotrope.
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7.2.1.3 Effect of sodium benzoate on p-nitrobenzoic acid
Experimental data representing the average of duplicate
determinations on the effect of sodium benzoate on the solubility of
p-nitrobenzoic acid is presented in Table 7.2 and are plotted in Figure 7.2.
Sodium benzoate is one of the hydrotropes used in this study. It has been
observed that the solubility increases significantly only after the addition of
0.30mol/L of sodium benzoate in the aqueous solution for p-nitrobenzoic
acid. This concentration is referred to as the Minimum Hydrotrope
Concentration (MHC). Therefore, it is evident that hydrotropy was
operational above the MHC of sodium benzoate which also depends on the
nature of solute.
The solubilization effect varies with concentration of hydrotropes.
This increasing trend is maintained only up to a certain concentration of
sodium benzoate in the aqueous solution, beyond which there is no
appreciable increase in the solubility of p-nitrobenzoic acid. This
concentration of sodium benzoate (hydrotrope) in the aqueous solution is
referred to as the Maximum Hydrotrope Concentration (Cmax). From the
analysis of the experimental data, it is observed that further increase in
hydrotrope concentration beyond Cmax does not bring any appreciable increase
in the solubility of the acids even up to 3.00 mol/L of sodium benzoate in the
aqueous solution. Both MHC and Cmax values of hydrotrope remained
unaltered at increased system temperatures.
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Table 7.2 Effect of sodium benzoate concentration (C) on the
solubility (S) of p-nitrobenzoic acid in water
S.NoC,
mol/L
103 S, mol/L
T = 303K T = 313K T = 323K T = 333K
1 0.00 2.09 2.54 3.06 3.65
2 0.10 2.16 2.51 3.14 3.61
3 0.20 2.20 2.68 3.21 3.72
4 0.30* 2.97 3.91 4.79 5.21
5 0.40 3.72 5.61 6.83 8.19
6 0.50 4.9 8.34 9.2 13.73
7 0.60 7.5 9.95 14.05 17.93
8 0.70 10.1 11.73 15.41 19.38
9 0.80 11.58 13.18 18.79 23.64
10 0.90 14.39 17.32 21.62 26.57
11 1.00 16.60 20.79 26.8 30.91
12 1.20 17.70 24.15 32.74 40.63
13 1.40 22.00 28.19 36.18 45.68
14 1.60 24.5 33.71 39.12 54.67
15 1.80 26.08 37.25 47.49 60.31
16 2.00 27.34 38.36 50.47 65.72
17 2.25 28.31 40.08 52.82 71.68
18 2.50**
29.54 41.76 56.91 76.71
19 2.75 29.69 41.87 57.16 76.87
20 3.00 29.74 42.01 57.21 76.94
*MHC ;
**Cmax
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From the Figure 7.2, it can further be observed that, in order to
achieve the particular solubility of p-nitrobenzoic acid, say 20.0 10-3
mol/L,
the sodium benzoate concentration should be 1.30 mol/L at 303 K,
1.00 mol/ L at 313 K, 0.82 mol/L at 323 K and 0.70 mol/L at 333K in the
aqueous solution. Thus it can be seen that as the system temperature
increases, the concentration of sodium benzoate required in the aqueous phase
to achieve a particular solubility of p-nitrobenzoic acid decreases. It has also
been observed that the solubilization effect of sodium benzoate was not a
linear function of the concentration of the sodium benzoate. The
solubilization effect of sodium benzoate increases with increase in hydrotrope
concentration and also with system temperature.
0
10
20
30
40
50
60
70
80
90
0 0.5 1 1.5 2 2.5 3
C, mol/L
10
3 S
, m
ol/
L
T = 303K
T = 313K
T = 323K
T = 333K
Figure 7.2 Effect of sodium benzoate concentration (C) on the
solubility (S) of p-nitrobenzoic acid in water at different
temperatures (T)
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7.2.1.4 Effect of sodium benzoate on other acids and alizarin
A similar trend in solubilization effect of sodium benzoate has been
observed for other acids namely benzoic acid, p-hydroxybenzoic acid,
cinnamic acid and alizarin. The experimental data for such organic acids-
hydrotrope and alizarin-hydrotrope systems are given in Appendix 2.
From the analysis of the experimental data, it has been observed that
hydrotrope (sodium benzoate) increases the solubility of acids and
alizarin studied significantly. The MHC values of sodium benzoate for
various acids range between 0.30 and 0.50 mol/L. The Cmax values range
between 2.25 and 2.50 mol/L (Table 6.3).
Similar to that of sodium salicylate it has also been observed that at
increased system temperatures, lesser hydrotrope concentration is found to be
adequate to achieve a particular solubility of any acid in the presence of
sodium benzoate as hydrotrope.
7.2.1.5 Effect of potassium p-toluene sulfonate (KPTS) on the solubility
of alizarin
Experimental data of the effect of potassium p-toluene sulfonate
(KPTS) on the solubility of alizarin is presented in Tables 7.3 and is plotted in
Figures 7.3. It was observed that the solubility of alizarin did not show any
appreciable increase up to addition of 0.30mol/L of KPTS. On subsequent
increase in the concentration of KPTS above0.30 mol/L, the solubility of
alizarin in water was found to increase significantly. This concentration of
KPTS in the aqueous phase, 0.30 mol/L is termed the Minimum Hydrotrope
Concentration (MHC), which is the minimum required KPTS concentration in
the aqueous phase to effect significant increase in the solubility of alizarin in
water.
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It has been observed that the MHC of KPTS in the aqueous phase
does not vary at increased temperatures of 313, 323 and 333 K. In the present
case, a clear increasing trend in the solubility of alizarin was observed above
the MHC of KPTS. This increase in solubility of alizarin is maintained up to
2.50mol/L of KPTS in the aqueous phase, beyond which there is no
appreciable increase in its solubility. This concentration of KPTS in aqueous
phase is referred to as the maximum hydrotrope concentration (Cmax).
From the analysis of the experimental data, it is observed that
further increase in hydrotrope concentration beyond Cmax does not bring any
appreciable increase in the solubility of alizarin even up to 3.00mol/L. Similar
to the MHC values, the Cmax values of hydrotropes also remained unaltered
with increase in system temperature.
In the concentration range of KPTS between 0.00mol/L and
3.00mol/L, three different regions were obtained. It was inactive below the
MHC of 0.30mol/L, above which an appreciable increase in the solubility was
found up to Cmax of 2.50mol/L, a state beyond which there is no further
solubilization effect of the hydrotrope. Therefore, from Figure7.3 it was
observed that the KPTS was found to be an effective hydrotrope in the
concentration range between 0.30mol/L and 2.50mol/L. It has also been
observed that the solubilization effect of KPTS was not a linear function of
the concentration of the KPTS solution. A similar trend in the solubilizing
effect of KPTS was observed at increased system temperatures viz. 313, 323,
and 333 K.
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Table 7.3 Effect of potassium p-toluene sulfonate concentration (C) on
the solubility (S) of alizarin in water
S.NoC,
mol/L
103 S, mol/L
T = 303K T = 313K T = 323K T = 333K
1 0.00 1.32 1.36 1.39 1.44
2 0.10 1.34 1.62 1.87 2.05
3 0.20 1.42 1.71 1.92 2.14
4 0.30* 2.59 3.01 3.38 3.75
5 0.40 3.82 5.78 6.32 7.64
6 0.50 4.81 7.82 8.54 9.65
7 0.60 5.96 9.65 10.26 13.82
8 0.70 6.85 12.36 13.29 20.83
9 0.80 7.84 16.01 17.05 24.33
10 0.90 9.65 20.32 25.17 39.61
11 1.00 13.82 23.48 32.09 46.18
12 1.20 17.43 38.82 49.31 60.13
13 1.40 25.52 48.13 62.29 80.85
14 1.60 32.71 56.31 80.08 97.26
15 1.80 48.22 71.14 90.57 110.71
16 2.00 68.73 91.39 109.19 134.18
17 2.25 76.80 105.10 121.02 140.01
18 2.50**
90.58 113.64 129.38 148.71
19 2.75 90.82 113.71 129.47 148.73
20 3.00 91.05 114.14 130.02 149.05
*MHC ;
**Cmax
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0
20
40
60
80
100
120
140
160
0 0.5 1 1.5 2 2.5 3
C, mol/L
10
3 S
, mo
l/L
T = 303K
T = 313K
T = 323K
T = 333K
Figure 7.3 Effect of potassium p-toluene sulfonates concentration (C) on the
solubility (S) of alizarin in water at different temperatures (T)
7.2.1.6 Other hydrotropes
A similar set of experimentations has been carried out using
different hydrotropes namely nicotinamide and urea for various acids and
alizarin. Such experimental data are presented in Appendix 2.
7.2.1.7 Effect of system temperature on the solubility in the presence of
hydrotropes
The temperature dependence of benzoic acid solubility in different
aqueous hydrotrope solutions are described by the modified Apelblat equation
ln x = A + B/T + C lnT (7.1)
where x is the solubility of benzoic acid
T - absolute temperature
A, B and C - model parameters
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The values of parameters A, B, C and the corresponding root-mean-
square deviation are listed in the Table 7.4.
Similarly the values of parameters A, B, C and the corresponding
root-mean-square deviation for other acids and alizarin in various
hydrotropes solutions has been determined at different system temperature are
presented in Appendix 3.
Table 7.4 Apelblat equation parameters A, B, and C for correlation of
benzoic acid data in hydrotrope solutions
C, mol/L A B C RMSD × 103
Sodium Salicylate
0.00 -168.83 5802.42 24.89 0.020
1.00 -165.41 3996.20 25.59 0.155
2.00 -156.94 3414.12 24.58 0.354
2.50 -157.20 3693.33 24.49 0.820
Sodium Benzoate
0.00 -168.83 5802.42 24.89 0.020
1.00 -147.4 3751.69 22.55 0.110
2.00 -138.63 2946.84 21.59 0.259
2.50 -132.03 2425.18 20.75 0.350
Nicotinamide
0.00 -168.83 5802.42 24.89 0.020
1.00 -123.94 1631.37 19.60 0.118
2.00 -119.74 1133.85 19.23 0.206
2.50 -116.48 1164.87 18.64 0.232
Urea
0.00 -168.83 5802.42 24.89 0.020
1.00 -156.67 3633.64 24.15 0.086
2.00 -136.02 1993.86 21.53 0.115
2.50 -126.68 1568.60 20.09 0.145
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7.2.2 MHC and Cmax Values of Hydrotropes
As pointed out earlier in chapter 6, the MHC value seems to depend
on the hydrophilicity of a hydrotrope. The Cmax values of hydrotropes for
various acids used in this work range between 2.00 and 2.50 mol/L. The MHC
and Cmax values of a hydrotrope remained unaltered at increased system
temperatures (Table 6.2 and 6.3).
7.2.3 Solubility Enhancement Factor of Organic Acids and Alizarin
The solubility enhancement factor ( s) values effected by various
hydrotropes for benzoic acid are presented in Table 7.5. In all cases the values
of s of benzoic acid increases with increase in system temperature. The
highest s value of 19.98 is reported in the case of sodium salicylate at 333K.
The analysis of the s values for this system shows that sodium salicylate
serves as the effective hydrotrope at all temperatures to bring maximum
solubilization of benzoic acid.
The s values of p-hydroxybenzoic acid in the presence of various
hydrotropes at different temperatures are given in Table 7.6. The highest s
value obtained is 27.20 in the presence of sodium salicylate at 333K. The
values of s increase substantially with increase in system temperature.
The effect of various hydrotropes on s for p-nitrobenzoic acid is
presented in Table 7.7. From the table it can be observed that sodium
benzoate brings maximum s value of 21.08 at 333K.
Table 7.8 presents the s values for cinnamic acid in the presence of
various hydrotropes at different temperatures. The values of s increase with
increase in system temperature in all cases. Sodium benzoate was found to be
an effective hydrotrope to bring maximum s value of 14.84 at 333K.
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The s values effected by various hydrotropes towards alizarin are
given in Table 7.9. In this case, potassium p-toluene sulfonate serves as an
effective hydrotrope for use at all temperatures with maximum s of 103.27 at
333K.
It has been observed that, the solubility enhancement factors
effected by sodium salicylate and sodium benzoate is much higher for organic
acids. The hydrotrope potassium p-toluene sulfonate brings maximum
solubility enhancement factor for alizarin.
Table 7.5 Solubility enhancement factor of benzoic acid
HydrotropesMaximum solubility enhancement factor ( s)
T = 303 K T = 313 K T = 323 K T = 333 K
Sodium salicylate 9.43 14.07 16.16 19.98
Sodium benzoate 6.63 9.35 11.25 13.61
Nicotinamide 3.34 5.32 6.74 8.48
Urea 2.85 4.07 5.59 6.98
Table 7.6 Solubility enhancement factor of p-hdyroxybenzoic acid
HydrotropesMaximum solubility enhancement factor ( s)
T = 303 K T = 313 K T = 323 K T = 333 K
Sodium salicylate 10.72 16.05 20.91 27.20
Sodium benzoate 6.48 8.92 10.49 13.74
Nicotinamide 3.71 5.28 6.64 7.98
Urea 2.40 3.54 4.35 5.74
66
Table 7.7 Solubility enhancement factor of p-nitrobenzoic acid
HydrotropesMaximum solubility enhancement factor ( s)
T = 303 K T = 313 K T = 323 K T = 333 K
Sodium benzoate 14.23 16.54 18.70 21.08
Sodium salicylate 9.61 11.56 13.28 16.28
Nicotinamide 5.12 6.63 7.13 8.07
Urea 3.64 4.58 5.62 6.26
Table 7.8 Solubility enhancement factor of cinnamic acid
HydrotropesMaximum solubility enhancement factor ( s)
T = 303 K T = 313 K T = 323 K T = 333 K
Sodium benzoate 7.23 10.52 12.65 14.84
Sodium salicylate 5.71 6.86 8.72 11.25
Nicotinamide 3.52 4.33 5.18 6.38
Urea 2.85 3.65 4.71 5.95
Table 7.9 Solubility enhancement factor of alizarin
HydrotropesMaximum solubility enhancement factor ( s)
T = 303 K T = 313 K T = 323 K T = 333 K
Potassium
p-toluene sulfonate68.62 83.56 93.08 103.27
Sodium salicylate 23.45 31.65 42.81 53.88
Sodium benzoate 9.72 14.15 20.19 27.03
Nicotinamide 4.16 4.96 5.77 6.41
Urea 3.55 4.51 5.63 6.19
67
7.2.4 Effect of System Temperature on the Solubility Enhancement
Factors of Acids and Alizarin in the Presence of Hydrotropes
The effect of hydrotropes on solubility enhancement factor, s of
acids and alizarin at 303K is presented in Table 7.10. The solubility
enhancement factor, s of acids were found to be higher in the presence of
sodium salicylate and sodium benzoate as hydrotrope. Hence for the system
temperature of 303K, sodium salicylate can be preferred for benzoic acid and
p-hydroxybenzoic acid whereas for p-nitrobenzoic acid and cinnamic acid,
sodium benzoate acts as an effective hydrotrope. The maximum enhancement
factor for alizarin is obtained in the presence of potassium p-toluene sulfonate
as hydrotrope followed by sodium salicylate, sodium benzoate and
nicotinamide. For all organic acids, there is difference in the values of s
effected by sodium salicylate, sodium benzoate, nicotinamide and urea, with
sodium salicylate and sodium benzoate having an upper level values.
Table 7.11 to 7.13 presents the effect of hydrotropes on s of acids
at different temperature ranges from 313K-333K. From the analysis of
experimental data it has been observed that for benzoic acid and p-
hydroxybenzoic acid, sodium salicylate shows the maximum s value where
as for p-nitrobenzoic acid and cinnamic acid, sodium benzoate effected
maximum solubility enhancement The effect of hydrotropes on solubility
enhancement factor at different temperatures for acids and alizarin are as
same as that observed at temperature 303K.
68
Table 7.10 Effect of hydrotropes on s of acids at 303K
Hydrotropes
Maximum enhancement factor for solubility ( s)
Benzoic acidp-Hydroxybenzoic
acidp-Nitrobenzoic acid Cinnamic acid
Sodium salicylate 9.43 10.72 14.23 5.71
Sodium benzoate 6.63 6.48 9.61 7.23
Nicotinamide 3.34 3.71 5.12 3.52
Urea 2.85 2.40 3.64 2.85
Table 7.11 Effect of hydrotropes on s of acids at 313K
Hydrotropes
Maximum enhancement factor for solubility ( s)
Benzoic acidp-Hydroxybenzoic
acidp-Nitrobenzoic acid Cinnamic acid
Sodium salicylate 14.07 16.05 16.54 10.52
Sodium benzoate 9.35 8.92 11.56 6.86
Nicotinamide 5.32 5.28 6.63 4.33
Urea 4.07 3.54 4.58 3.65
69
Table 7.12 Effect of hydrotropes on s of acids at 323K
HydrotropesMaximum enhancement factor for solubility ( s)
Benzoic acid p-Hydroxybenzoic acid p-Nitrobenzoic acid Cinnamic acid
Sodium salicylate 16.16 20.91 18.70 12.65
Sodium benzoate 11.25 10.49 13.28 8.72
Nicotinamide 6.74 6.64 7.13 5.18
Urea 5.59 4.35 5.62 4.71
Table 7.13 Effect of hydrotropes on s of acids at 333K
HydrotropesMaximum enhancement factor for solubility ( s)
Benzoic acid p-Hydroxybenzoic acid p-Nitrobenzoic acid Cinnamic acid
Sodium salicylate 19.98 27.20 16.28 14.84
Sodium benzoate 13.61 13.74 21.08 11.25
Nicotinamide 8.48 7.98 8.07 6.38
Urea 6.98 5.74 6.26 5.95
70
7.2.5 Identification of the Best Hydrotrope for Various Acids and
Alizarin
The maximum solubility enhancement factors for acids and
alizarin effected by various hydrotropes are given in Table 7.14. For benzoic
acid, and p-hydroxybenzoic acid, sodium salicylate is the best one among the
hydrotropes used at the hydrotrope concentration of 2.50mol/L at 333K. In
the case of p-nitrobenzoic acid and cinnamic acid, sodium benzoate is the best
hydrotrope at the concentration of 2.50mol/L at 333K. For alizarin, potassium
p-toluene sulfonate is the best one at 2.50mol/L at 333K.
The order of increase in the solubilization of acids and alizarin in
the presence of hydrotropes based on s value was found to be
Alizarin > p-Hydroxybenzoic acid > p-Nitrobenzoic acid >
Benzoic acid > Cinnamic acid.
Table 7.14 Maximum s of acids and alizarin in the presence of
hydrotropes
Solutes s Hydrotrope C, mol/L T, K
Benzoic acid 19.98 Sodium salicylate 2.50 333
p-Hydroxybenzoic acid 27.20 Sodium salicylate 2.50 333
p-Nitrobenzoic acid 21.08 Sodium benzoate 2.50 333
Cinnamic acid 16.28 Sodium benzoate 2.50 333
Alizarin 103.27 Potassium p-toluene
sulfonate
2.50 333
71
7.3 EFFECT OF HYDROTROPES ON MASS TRANSFER
COEFFICIENT OF ORGANIC ACIDS AND ALIZARIN
7.3.1 Introduction
In the previous section, the effect of hydrotropes on the solubility of
acids and alizarin has been discussed. The solubility enhancement factor for
each acid-hydrotrope and alizarin-hydrotrope system was also determined.
These enhancements in solubility of acids and alizarin were obtained after
attaining equilibration using a thermostatic bath method. This section
discusses the effect of hydrotropes on mass transfer coefficient of organic
acids and alizarin in the presence of hydrotropes. An agitated vessel was used
for this purpose.
A time limit of say 600, 1200, 1800 and 2400 seconds has been
fixed for each experimentation. The speed of agitation was fixed at 600 rpm.
The concentration of the acid ‘Cb’ in hydrotrope solutions at any fixed time‘t’
was determined. For each run, the relative solubility Cb/C* has been estimated
where C* is the equilibrium solubility at the same acid-hydrotrope system at
any particular hydrotrope concentration in the aqueous phase obtained after
equilibration using thermostatic bath method. These values were used to
determine the mass transfer coefficient, kLa.
7.3.2 Benzoic Acid – Sodium Salicylate System
The mass transfer coefficient of benzoic acid in the absence of any
hydrotrope is 7.14 x 10-4
s-1
. The ability of hydrotropes such as sodium
salicylate, sodium benzoate, nicotinamide and urea as potential hydrotropes to
increase the mass transfer coefficient of benzoic acid was investigated. The
influence of different hydrotropes concentration on mass transfer coefficient
of acids has been determined for each case.
72
7.3.2.1 Sodium salicylate
From the solubility determination part of the experimentation, the
MHC and Cmax values of benzoic acid-sodium salicylate system were
observed to be 0.50 and 2.50 mol/L respectively. For mass transfer studies,
five different hydrotrope concentrations i.e. 0.50, 0.80, 1.00, 1.40 and
2.50 mol/L were randomly selected within the range of MHC and Cmax values.
Mass transfer studies were carried out for each hydrotrope concentration in
the aqueous phase. The effect of sodium salicylate as hydrotrope on the mass
transfer coefficient of benzoic acid at different hydrotrope concentrations is
given in Table 7.15.
From Table 7.15, it can be seen that a threshold value i.e., 0.50
mol/L which is nothing but MHC of sodium salicylate for benzoic acid is to
be maintained to obtain significant enhancement in the mass transfer
coefficient of benzoic acid, as observed in the case of solubility
determinations. The mass transfer coefficient of benzoic acid increases with
increase in sodium salicylate concentrations. Beyond 2.50 mol/L of sodium
salicylate, there is no appreciable increase in mass transfer coefficient for
benzoic acid, as observed in the case of solubility determinations.
The maximum enhancement in mass transfer coefficient of benzoic
acid in the presence of sodium salicylate as hydrotrope in the aqueous phase
was found to be 12.07. These observations suggest the fact that increase in
mass transfer coefficient is found to occur upon increased solubilization.
A similar trend in mass transfer coefficient enhancement ( mtc) of
benzoic acid has been observed for other hydrotropes namely sodium
benzoate, nicotinamide and urea (Tables 7.16 to 7.18).
73
Table 7.15 Effect of sodium salicylate concentration (C) on mass
transfer coefficient (kLa) of benzoic acid
Sl.No. C, mol/L 104 kLa, s
-1 Enhancement factor for mass
transfer coefficient ( mtc)
1 0.00 7.14 -
2 0.50*
19.22 2.69
3 0.80 25.25 3.54
4 1.00 38.60 5.41
5 1.40 52.68 7.38
6 2.50**
86.21 12.07
7 3.00 87.21 12.21
*MHC ;
**Cmax
Table 7.16 Effect of sodium benzoate concentration (C) on mass
transfer coefficient (kLa) of benzoic acid
Sl.No. C, mol/L 104 kLa, s
-1
Enhancement factor for
mass transfer coefficient
mtc)
1 0.00 7.14 -
2 0.20 7.19 1.01
3 0.40*
16.61 2.33
4 0.80 19.24 2.69
5 1.40 28.94 4.05
6 2.00 45.95 6.44
7 2.50**
55.42 7.76
8 3.00 55.71 7.80
*MHC ;
**Cmax
74
Table 7.17 Effect of nicotinamide concentration (C) on mass transfer
coefficient (kLa) of benzoic acid
Sl.No. C, mol/L 104 kLa, s
-1
Enhancement factor for
mass transfer coefficient
mtc)
1 0.00 7.14 -
2 0.20 7.17 1.00
3 0.60*
14.94 2.09
4 0.80 21.16 2.96
5 1.20 27.54 3.86
6 1.80 33.98 4.76
7 2.25**
36.84 5.16
8 3.00 37.51 5.25
*MHC ;
**Cmax
Table 7.18 Effect of urea concentration (C) on mass transfer coefficient
(kLa) of benzoic acid
Sl.No. C, mol/L 104 kLa, s
-1
Enhancement factor for
mass transfer coefficient
mtc)
1 0.00 7.14 -
2 0.20 7.19 1.01
3 0.60*
9.37 1.31
4 1.20 15.87 2.22
5 1.40 17.65 2.47
6 1.80 22.79 3.19
7 2.25**
27.68 3.88
8 3.00 28.98 4.06
*MHC ;
**Cmax
75
Table 7.19 Effect of hydrotropes on mtc of acids and alizarin
Hydrotropes
Maximum mtc
Benzoic
acid
p-Hydroxybenzoic
Acid
p-Nitrobenzoic
Acid
Cinnamic
acidAlizarin
Sodium
salicylate12.07 11.31 10.10 6.34 30.50
Sodium
benzoate7.76 8.30 15.20 9.26 21.94
Nicotinamide 5.16 4.62 5.43 2.99 4.56
Urea 3.88 2.87 3.88 3.45 3.61
Potassium
p-toluene
sulfonate
- - - - 58.71
7.3.2.2 Other acids and alizarin
A similar set of experimentations has been carried out for other
acids namely p-hydroxybenzoic acid, p-nitrobenzoic acid, cinnamic acid and
alizarin using different hydrotropes. Such experimental data are presented in
Appendix 4. The maximum enhancement factor for mass transfer coefficient
of various acids namely benzoic acid, p-hydroxybenzoic acid, p-nitrobenzoic
acid, cinnamic acid and alizarin are presented in Table 7.19. It can be
observed that sodium salicylate serves as the best hydrotrope for benzoic acid
and p-hydroxybenzoic acid in terms of enhancing mass transfer coefficient.
For p-nitrobenzoic acid and cinnamic acid, sodium benzoate gives maximum
enhancement for mass transfer coefficient.
The range of maximum mtc values is between 9.26 and 58.71 with
highest value of 58.71 observed for alizarin-potassium p-toluene sulfonate
system at maximum hydrotrope concentration of 2.50mol/L in the aqueous
phase (Table 7.20). The hydrotrope potassium p-toluene sulfonate was used
only for alizarin and it was selected based on the structure of alizarin. This
table also gives the best one among the four hydrotropes used to bring
maximum mtc of various acids and alizarin.
76
Table 7.20 Maximum mtc of acids and alizarin in the presence of
hydrotropes
SoluteMaximum
mtcHydrotrope
Cmax,
mol/L
Benzoic acid 12.07 Sodium salicylate 2.50
p-Hydroxybenzoic acid 11.31 Sodium salicylate 2.50
p-Nitrobenzoic acid 15.20 Sodium benzoate 2.50
Cinnamic acid 9.26 Sodium benzoate 2.50
Alizarin 58.71 Potassium p-toluene sulfonate 2.50
7.4 EFFECTIVENESS OF HYDROTROPES
The ‘effectiveness factor’ of each hydrotrope with respect to a series
of acids at different system temperatures and alizarin at 303K has been
determined by analyzing the experimental solubility data for each case,
applying the model suggested by Setschenow and later modified by Pathak
and Gaikar (1993) as given by the Equation (7.2).
log10 [S/Sm] = Ks[Cs-Cm] (7.2)
where S and Sm are the solubilities of the solute at any hydrotrope
concentration (Cs) and minimum hydrotrope concentration (Cm) respectively.
The Setschenow constant Ks, can be considered as a measure of the
effectiveness of a hydrotrope at any given conditions of hydrotrope
concentration and system temperature.
The Setschenow constant values of hydrotropes, namely sodium
salicylate, sodium benzoate, nicotinamide and urea for each acid and alzarin
at different system temperatures are listed in Table 7.21 to 7.25.
77
Table 7.21 Setschenow constant values of sodium salicylate
Temperature, KSetschenow constant, Ks
Benzoic acid p-Hydroxybenzoic acid p-Nitrobenzoic acid Cinnamic acid Alizarin
303 0.376 0.381 0.446 0.287 0.558
313 0.438 0.500 0.458 0.343 0.593
323 0.474 0.571 0.480 0.393 0.628
333 0.502 0.611 0.513 0.436 0.671
Table 7.22 Setschenow constant values of sodium benzoate
Temperature, KSetschenow constant, Ks
Benzoic acid p-Hydroxybenzoic acid p-Nitrobenzoic acid Cinnamic acid Alizarin
303 0.313 0.338 0.455 0.304 0.508
313 0.396 0.467 0.468 0.390 0.537
323 0.428 0.537 0.489 0.430 0.556
333 0.465 0.592 0.531 0.454 0.606
78
Table 7.23 Setschenow constant values of nicotinamide
Temperature, KSetschenow constant, Ks
Benzoic acid p-Hydroxybenzoic acid p-Nitrobenzoic acid Cinnamic acid Alizarin
303 0.229 0.303 0.362 0.278 0.336
313 0.316 0.432 0.406 0.331 0.348
323 0.378 0.515 0.427 0.372 0.356
333 0.428 0.543 0.506 0.412 0.366
Table 7.24 Setschenow constant values of urea
Temperature, KSetschenow constant, Ks
Benzoic acid p-Hydroxybenzoic acid p-Nitrobenzoic acid Cinnamic acid Alizarin
303 0.193 0.225 0.277 0.232 0.271
313 0.258 0.342 0.327 0.259 0.309
323 0.362 0.419 0.367 0.300 0.321
333 0.400 0.492 0.401 0.340 0.328
79
Table 7.25 Setschenow constant values of KPTS
Temperature, KSetschenow constant, Ks
303 313 323 333
Alizarin 0.702 0.717 0.720 0.728
From Table 7.21 it is seen that the Ks values of sodium salicylate
with respect to various acids range between 0.0.287 and 0.671. The Ks value
increases with increase in system temperature. The highest value of 0.671 has
been observed for alizarin at 333 K.
For the hydrotrope, sodium benzoate Ks values range between 0.304
and 0.606 as given in Table 7.22. It can be seen that only at increased system
temperatures, the effectiveness factors (Ks) were found to be at higher levels.
The highest value has been observed to be 0.606 at 333K for alizarin.
When nicotinamide was used as a hydrotrope, the values of Ks were
found to be in the range between 0.229 and 0.543 as shown in Table 7.23. It
can be seen that the Ks value was found to be in the increasing order with
respect to temperature. The highest value has been observed as 0.543 at 333K
for p-hydroxybenzoic acid.
Table 7.24 gives the range of Ks value of urea between 0.193 and
0.492. There is a significant increase in Ks values with increase in system
temperature for all cases. The highest value has been observed to be 0.492 for
p-hydroxybenzoic acid at 333K.
The hydrotrope potassium p-toluene sulfonate was used as a
hydrotrope for alizarin, the values of Ks were found to be in the range
between 0.702 and 0.728 as shown in Table 7.25. The highest value of 0.728
80
for alizarin has been observed at 333K which is higher than the effectiveness
of sodium salicylate observed for alizarin.
Hence by applying the Setschenow model, the order of effectiveness
of hydrotropes based on Ks value for benzoic acid and p-hydroxybenzoic acid
was found to be
Sodium salicylate > Sodium benzoate > Nicotinamide > Urea
For p-nitrobenzoic acid and cinnamic acid the order of effectiveness
of various hydrotrope is
Sodium benzoate > Sodium salicylate > Nicotinamide > Urea
For the alizarin, the order of effectiveness of various hydrotropes is
Potassium p-toluene sulfonate > Sodium salicylate >
Sodium benzoate > Nicotinamide > Urea
7.5 ASSOCIATION CONSTANTS (K2 AND Khs) FROM
ASSOCIATION MODEL
In this study the aggregation behavior of hydrotrope and the
solubilization of organic acids and alizarin are further explored. Since
aggregation of the hydrotrope is a pre-requisite for the solubilization of a
solute, an association model is used. The model attempts to explain the
increase in the solubility of a hydrophobic solute in an aqueous solution of a
hydrotrope in terms of the associations between hydrotrope–hydrotrope and
hydrotrope–solute molecules.
An association model of hydrotropic solubilization is used to
represent the solubilization of acids and alizarin in hydrotrope solutions. The
81
model considers stepwise aggregation of the hydrotrope molecules and
solubilization of the solute through coaggregation with the hydrotropic
aggregates.
The self-aggregation of a hydrotrope is favored by the hydrophobic
effect which is governed by its hydrocarbon structure and is opposed by the
electrostatic repulsion between the charged head groups giving rise to an
optimum aggregation number of the self-assemblies of the hydrotrope.
The association constant for an n-mer of hydrotrope with a
monomer is related to the dimerization constant (K2, L/mol), i.e., Kn = K2/n.
The total concentration of the hydrotrope (Cs) and the monomer concentration
(H1) can be related by the following Equations (7.3):
1]-e[2HC 12HK
1s (7.3)
A solute molecule can reside between the hydrotrope molecules and
reduce the electrostatic repulsion between the charged groups of the
hydrotrope molecules, effectively compacting the aggregate structure and
providing geometrical constraint to the incorporation of more solute
molecules into the same aggregate. Since most solubility studies with
hydrotrope solutions show a sigmoidal nature of the solubility curve with
hydrotrope concentration, it is appropriate to assume a finite capacity of a
hydrotrope aggregate to solubilize the solute. Considering that the association
constant for incorporation of a solute molecule into an n-mer of hydrotrope
decreases with every new addition of a solute molecule, hydrotrope n-mer is
assumed to take up a maximum of (n-1) solute molecules.
The total amount of the solute associated with the hydrotrope
aggregates, under the assumption that hydrotrope aggregate-solute association
82
constant decreases with increase in number of solute molecules (j) in the
coaggregate (Knj = Khs/j), is given by Equation (7.4).
)HK(1-e][SK
K2S 12
HK
1
2
hs
T12 (7.4)
The amount of solute associated with the hydrotrope
(Equation (7.4)) can be related to the total concentration of the hydrotrope
(Equation (7.3)), which is a measurable quantity. These two equations can be
used to estimate the values of the association parameters K2 and Khs from the
solubility data. They characterize the hydrotrope-hydrotrope and hydrotrope-
solute associations, respectively.
The experimental solubility data of acids and alizarin was fitted into
the association model (Equations (7.3) and (7.4)). The Equations (7.3) and
(7.4) are nonlinear and a nonlinear least-squares method has been adopted.
Equation (7.3) can be inverted into a polynomial where the monomer
concentration (H1) can be obtained in terms of total hydrotrope concentration
(Cs). This concentration can be substituted into Equation (7.4) to estimate the
relevant parameters such as K2 and Khs, which represent the hydrotrope-
hydrotrope and hydrotrope-solute associations respectively.
For the hydrotrope, sodium salicylate K2 values range between
0.517 and 2.947 L/mol and Khs values range between 18.54 and 325.45 L/mol
as given in Table 7.26. Both K2 and Khs values increases with increase in
system temperature for all acids. The highest value of K2 has been observed to
be 2.947 L/mol at 333K for alizarin. Similarly the highest value of Khs is
325.45 L/mol has been observed for alizarin at 333K.
83
Similarly the association constants for other acids and alizarin in
various hydrotropes solutions has been determined at different system
temperatures (Appendix 5).
Although the hydrotrope aggregates are formed in aqueous
solutions, their aggregation tendency is much weaker than that of solute-
hydrotrope coaggregation. With increase in temperature, the association
constants (K2 and Khs) were also found to increase. It seems that the
temperature increase effect a significant change in the aggregate structures,
thereby causing more solute to be solubilized in the hydrotrope solutions.
Table 7.26 Association constants (K2, Khs) for solute and sodium
salicylate for association model of hydrotropy
Temperature,
K
K2, Khs, L/mol
Benzoic
acid
p-Hydroxybenzoic
acid
p-Nitrobenzoic
acid
Cinnamic
acidAlizarin
K2 Khs K2 Khs K2 Khs K2 Khs K2 Khs
303 0.641 45.32 1.310 133.98 0742 5.320 0.030 1.320 1.854 248.63
313 0.783 59.81 1.536 157.28 0.805 10.354 0.057 2.528 2.471 289.12
323 0.865 62.35 1.451 178.54 0.927 12.043 0.062 3.089 2.623 305.84
333 0.943 78.45 2.054 186.95 1.781 15.608 0.063 5.762 2.947 325.45
7.6 MECHANISM OF HYDROTROPIC PHENOMENON
The advent of Minimum Hydrotrope Concentration (MHC) has
opened up more avenues for the experimental studies on various solutes in
different hydrotrope solutions. Previous workers have suggested various
theories like salting-in-effect, complex formation, cosolvency, association of
hydrotrope molecules, intermolecular interactions etc., for the contribution of
hydrotropic effect towards many organic and inorganic solutes. However no
consistent idea on the mechanism of hydrotropy has been arrived until now.
84
In the present work, a comprehensive study on the effect of various
hydrotropes on the solubility and mass transfer coefficient of a series of
organic acids has been carried out. It has been ascertained that in the case of
organic acids, a certain minimum concentration of hydrotrope in the aqueous
was found essential to observe a significant increase in the solubility.
Therefore, it has become quite clear that whatever be the type of
hydrotrope that is being used in the aqueous phase, a minimum concentration
of hydrotrope is necessary to initiate the solubilization activity of a
hydrotrope.
From the analysis of the experimental data, it has been observed that
the solubility of the solute increases with increase in hydrotrope concentration
and the solubilizing effect of hydrotropes is not a linear function with the
hydrotrope concentration. It was also seen that MHC values of various
hydrotropes used in this study range between 0.30 to 0.60 mol/L with respect
to different organic acids. In other words, for the same aqueous phase
concentration, different number of hydrotrope molecules is required to form
aggregates at MHC values. This range of critical MHC values may be due to
the difference in the hydrophilic nature of the hydrotropes in the aqueous
phase. Such a significant concentration of hydrotrope required in the aqueous
phase suggests the formation of a certain complex arrangement of the
hydrotrope molecules in the aqueous phase.
7.6.1 Solution Properties of Hydrotropes
In order to explain the theory of complex arrangement, a study on
the solution properties like viscosity, specific gravity, surface tension, specific
conductance and refractive index of hydrotropes for range of hydrotrope
concentrations (0-2.0 mol/L) has been carried out. Figures 7.4 to 7.10 show
the plot of viscosity, specific gravity, surface tension, specific conductance
85
and refractive index of hydrotrope solution vs hydrotrope concentration for
different hydrotropes used.
From the Figures it can be seen that the trend in the change of
solution properties with hydrotrope concentrations is a linear one up to the
critical concentration corresponding to MHC values, after which a distinct
deviation from linearity has been observed.
The positive deviation in the viscosity plot (Figure 7.4) indicates
that aggregate formation is associated with an increase in viscosity of
hydrotrope concentration.
The plot of specific gravity versus hydrotrope concentration showed
a negative deviation (Figure 7.5) that indicates an increase in partial molal
volume upon aggregation, and this increase in volume may be due to
expansion of the hydrocarbon portion of the molecule or its partial removal
from the high compressive force of water.
The surface tension plot (Figure 7.6) showed a moderate decrease in
surface tension on increasing the hydrotrope concentration as hydrotropes are
not surface active agents. The deviation from linearity in specific conductance
plot (Figure 7.7) is strongly indicative of molecular aggregation.
The plot of refractive index versus hydrotrope concentration (Figure
7.8) showed negative deviation. It was revealed from different studies that
at lower hydrotrope concentration, there were weak ionic interactions while at
higher hydrotrope concentration, the molecular aggregation seems to be the
possible mechanism of hydrotropic solubilization. Therefore, it can be
concluded that the significant solubilizing effect of hydrotropes above MHC
may be due to the fact that hydrotrope molecules probably associate into
organized aggregates at this critical concentration. It may be suggested that
86
the deviation from linearity of solution properties observed is an indication of
aggregate formation, when the concentration surpasses this critical value. In
other words, this deviation may be considered to be the characteristic of
hydrotropic solubilization.
Hence, the formation of aggregates of hydrotrope molecules with
the attainment of MHC can be taken as a pre-requisite to display this
phenomenon.
It may be further assumed that the formation of such aggregates
creates a new surface environment with different solution properties like
viscosity, specific gravity, surface tension, specific conductance and refractive
index. This has been indicated in the study on solution properties also.
Possibly the change in surface tension and hence polarity at MHC enable the
solute molecules to clinch to MHC aggregates to be retained in the aqueous
phase. Such critical surface-active properties of hydrotrope aggregates seem
to initiate the solubilization effect of hydrotropes.
The increase in the solubilizing effect with increase in hydrotrope
concentration may be due to the more number of such aggregates available for
interaction with solute molecules at the existing conditions of the aqueous
phase.
Further formation of hydrotrope aggregates with increased
hydrotrope concentration in the aqueous phase depends on the availability of
water molecules also, since by hydration theory, every water molecule forms
associated structure among themselves and influences other polar substances
in it to form similar association of molecules.
87
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
0 0.5 1 1.5 2
Hydrotrope concentration, mol/L
Vis
co
sity
, cP
Urea
NicotinamideSodium benzoate
Sodium salicylate
Figure 7.4 Plot of viscosity versus hydrotrope concentration for
different hydrotropes
0.95
1
1.05
1.1
1.15
1.2
1.25
1.3
0 0.5 1 1.5 2
Hydrotrope concentration, mol/L
Sp
ecif
ic g
ra
vit
y
Urea
NicotinamideSodium benzoate
Sodium salicylate
Figure 7.5 Plot of specific gravity versus hydrotrope concentration for
different hydrotropes
88
62
63
64
65
66
67
68
69
70
71
0 0.5 1 1.5 2
Hydrotrope concentration, mol/L
10
3 S
urfa
ce
ten
sio
n, k
g/s
2
UreaNicotinamide
Sodium benzoateSodium salicylate
Figure 7.6 Plot of surface tension versus hydrotrope concentration for
different hydrotropes
0
1
2
3
4
5
6
0 0.5 1 1.5 2
Hydrotrope concentration, mol/L
10
2 S
pec
ific
co
ncu
cta
nce, m
ho
/cm
Urea
Nicotinamide
Sodium benzoate
Sodium salicylate
Figure 7.7 Plot of specific conductance versus hydrotrope concentration
for different hydrotropes
89
1.32
1.34
1.36
1.38
1.4
1.42
1.44
1.46
0 0.5 1 1.5 2
Hydrotrope concentration, mol/L
Refr
act
ive i
nd
ex
Urea
Nicotinamide
Sodium benzoate
Sodium salicylate
Figure 7.8 Plot of refractive index versus hydrotrope concentration for
different hydrotropes
This complex arrangement may be visualized as the formation of a
stack of hydrotrope aggregates with that of solute molecules. It can also be
visualized that such a staking arrangement of solute molecules are
sandwiched between hydrotrope aggregates one upon the other. This stacking
can be assumed as a sheet of solute molecules held captive between
hydrotrope aggregates. However such a stacking arrangement need not have
any geometric restrictions, that is to say that no regular pattern of stacking can
be stressed upon.
Further increase in the solubilizing effect of hydrotrope beyond
maximum hydrotrope concentration Cmax has been hampered because
hydrotrope molecules are handicapped with the non-availability of water
molecules to form aggregates. This explains the saturation of the solubilizing
90
effect of hydrotropes beyond Cmax, which can be observed from the
experimental data.
It appears that the solute molecules after finding their way through
the interface of hydrotrope aggregates are held hidden in the hydrotropic
stack.
Though, by nature, the solute and aqueous layers are immiscible
because of difference in polarity, the hydrotrope aggregates are able to hold
them within the possible hydrotropic stack, because of different solution
properties acquired by them. Such a situation is not visible to the naked eye
probably due to the negligible difference in the surface tension and other
allied properties of the hydrotropic stack which contains the hidden solute and
aqueous phase.
However, this arrangement seems to be a purely temporary one,
because the solute particles contained within the hydrotrope stack can be
brought out by simple dilution with distilled water, which alters the solution
properties of hydrotrope stack. This causes the dissociation of hydrotrope
molecules and the properties of hydrotrope solutions with decrease in
hydrotrope concentration approach to that of water, similar to the situation
below MHC.
In general, the sort of host-guest interaction between the hydrotrope
aggregates and solute molecules seems to contribute significantly to the
overall stability of the solute-hydrotrope system.
91
7.6.2 Microscopic Studies
The SEM images of the dried solubilized product of benzoic acid in
water and aqueous sodium salicylate solution are shown in Figure 7.9 and
7.10 respectively. From Figure 7.9 it was observed that the shape of benzoic
acid crystals were needle like structure with sharp edges with irregular
pattern. On the other hand, Figure 7.10 shows that the particles of dried
solubilized form of benzoic acid in aqueous sodium salicylate solution were
reduced to sphere like structure with uniform clusters. This may be attributed
to the formation of the aggregates of sodium salicylate along with benzoic
acid.
Figure 7.9 SEM images of solubilized form of benzoic acid in water
92
Figure 7.10 SEM images of solubilized form of benzoic acid in aqueous
sodium salicylate solution
7.7 SOLUBILITY PREDICTION OF ORGANIC SOLUTES
USING ARTIFICIAL NEURAL NETWORK
The solubility of organic acid such as benzoic acid, p-hydroxy
benzoic acid, p-nitrobenzoic acid, cinnamic acid and alizarin in the presence
of various hydrotropes at different system temperatures were taken from
solubility determination part. physio-chemical properties of the organic acids
and alizarin are computed by using Chemsketch software. The physio-
chemical properties of organic solutes, temperature and concentration of
hydrotrope solutions data are used as input variables and the solubility data of
organic acids and alizarin in hydrotropes solutions are used as output
variables for an ANN model.
All solubility data of organic acids and alizarin were employed to
train, predict and validate the ANN model. The available data are randomly
93
divided into three groups. The first group is used for the process of network
training which represents 70% of the total solubility data. The second 15% of
the data is used to validate the model. The reliability of the ANN for
estimating the solubility of organic acids and alizarin in aqueous hydrotrope
solution was tested using the remaining 15%.
A feed-forward back-propagating ANN structure was used to
develop to predict the solubility of acids and alizarin in various hydrotropes
solution. ANN model is trained several times using training data. The error
between the predicted and actual solubility at different iterations were
recorded each time. The minimum means square error between the predicted
and experimental values that is reached at the optimum number of iterations is
shown in Figure 7.11.
Figure 7.11 Plot of error and number of iterations
94
One hidden layer is sufficient to approximate any continuous
nonlinear function, although more complex networks may be employed in
special applications. However, still there is no established theory to indicate
how many hidden units are needed to approximate any given function. In this
ANN model, one hidden layer with three neurons gives the best prediction
result for the given solubility data (Figure 7.12).
Figure 7.12 Schematic of the architecture of ANN used in this study
The overall MSE for all the solubility data was predicted to be
3.22×10-4
. The MSE for training, validating and testing data was 2.92×10-4
,
2.65×10-4
and 5.22×10-4
respectively. The performance of the ANN model
was evaluated by plotting the experimental vs. predicted solubility values for
training, testing and validation sets. Figures 7.13 to 7.15 display the solubility
of experimental and predicted values. The R2 values for training, validating
and testing data obtained from regression fit were 0.991, 0.992 and 0.994
respectively. This shows a better performance of the present ANN model for
the prediction of solubility of organic acids and alizarin in hydrotrope
solutions.
95
Figure 7.13 Comparison of experimental and predicted values for the
train data
Figure 7.14 Comparison of experimental and predicted values for the
validation data
96
Figure 7.15 Comparison of experimental and predicted values for the
test data
The ANN model fits the experimental data very well. The
agreement between experimental data and predicted results by ANN approach
indicate that it can be used as a powerful method for predicting the solubility
of organic solutes.
7.8 EXTRACTION OF MANGIFERIN FROM MANGO LEAVES
7.8.1 Effect of Hydrotrope on Extraction of Mangiferin
Two hydrotropes such as sodium salicylate (aromatic carboxylate)
and sodium cumene sulfonate (alkyl benzene sulfonate) were selected for the
extraction studies. The solubilization capacity of a hydrotrope is governed by
hydrophobic functionality. The hydrophobicity of the aromatic sulfonates
increases with increasing alkyl group length and they display an increasing
tendency for the solubilization of non-polar molecules. Among various
97
aromatic sulfonates, sodium cumene sulfonate has isopropyl group with three
carbons present as the side chain. However the structure of mangiferin being
phenolic would be dissolved well by aromatic hyrotropes. Sodium salicylate
is another hydrotrope selected for this extraction study which is widely used
in pharmaceutical formulations to dissolve insoluble drugs. It consists of no
side chains but the hydroxyl group in ortho position probably supports the
aggregation process.
7.8.2 Recovery of Mangiferin
The unique advantage of this hydrotropic extraction is the easy
recovery of mangiferin by diluting extract below MHC of sodium salicylate.
In case of sodium cumene sulfonate dilution of extract using water below
MHC did not provide precipitate even after 24 hours. It is mainly because of
greater affinity of sodium cumene sulfonate towards mangiferin than sodium
salicylate. Dandekar and Gaikar (2003) also reported a greater affinity of
alkyl benzene sulfonates towards curcuminoids in their study. Hence sodium
salicylate is chosen as hydrotrope for studying the effect of various factors
affecting the extraction of mangiferin from mango leaves.
7.8.3 Effect of Sodium Salicylate Concentration on Extraction of
Mangiferin
Sodium salicylate will exhibit hydrotropic action only when its
concentration is above MHC which is reported to be in the range from 0.40 to
0.50mol/L. However, being a relatively weak hydrotrope it required much
higher concentrations to give an appreciable extraction of mangiferin. But
increasing concentration of sodium salicylate above 2.0 mol/L did not give
effective results since the solution becomes more viscous and penetration of
solution through cell membrane is very difficult. The yield of mangiferin is
98
also not appreciable beyond 2.0 mol/L of sodium salicylate solution. Hence
sodium salicylate concentration of 1.0 and 2.0 mol/L were selected as lower
and upper levels for use in Response Surface Methodology (RSM)
optimization.
7.8.4 Effect of Extraction Time on Extraction of Mangiferin
Extraction time was another main parameter in the extraction
procedure. The extraction time can either be as short as few minutes or very
long up to 24 hours. In this study, the range of extraction time was designed
based on the practical and economical aspects. Extractions were conducted at
2M concentration of hydrotrope solutions at 30oC and 5% raw material
loading. Samples from the extraction vessel were withdrawn every hour and
mangiferin concentration was quantified using HPLC.
Initially the rate of extraction of mangiferin in sodium salicylate and
sodium cumene sulfonate solution was not same, which is mainly due to
difference in penetration rates through raw material cell structure. Figure 7.10
shows that the extraction of mangiferin increases with increase in extraction
time up to 6 hrs and beyond which there is no further increase in extraction of
mangiferin for both the hydrotropes. In the case of sodium cumene sulfonate
as hydrotrope the recovery of mangiferin from hydrotrope solution was not
possible by dilution with distilled water. Moreover the extraction of
mangiferin using sodium cumene sulfonate is not much significant when
compared to that of sodium salicylate. Hence sodium salicylate is used for
further experimentations.
99
0
0.5
1
1.5
2
2.5
0 2 4 6 8 10
Extraction Time (h)
Yie
ld (m
g/g
)
Na-S
Na-CuS
Figure 7.16 Extraction of mangiferin using sodium salicylate at different
time
7.8.5 Effect of Temperature on Extraction of Mangiferin
The selection of an operating range of extraction temperature
assumes significance in the extraction of bioactive compound from natural
sources. Usually extraction of organic solute increases with increase in
temperature. However, it may be indicated that increasing the temperature
beyond certain values may promote possible concurrent decomposition of
organic compounds or even the breakdown of solutes that still remained
within the plant matrix. Besides, high temperature may lead to solvent loss
through vaporization during extraction process. Therefore, moderate
extraction temperature of 30 and 50oC were chosen as the lower and upper
levels to be applied in RSM optimization.
100
7.8.6 Response Surface Methodology (RSM)
The Response Surface Methodology (RSM) has been used to study
the relation between yield of mangiferin and extraction variables such as
concentration of sodium salicylate (X1), system temperature (X2) and raw
material loading (X3). Table 7.27 gives the extraction parameters and the
operating ranges covered.
A Central Composite Design (CCD) for three factors with replicates
at the centre point was developed. The CCD contains a total of 20
experimental trials that include 8 trials for factorial design, 6 trials for axial
points and 6 trials for replications of the central points. CCD design along
with the yield of mangiferin (Y) in each trials were reported in Table 7.28
Table 7.27 The level and range of variables for extraction of mangiferin
Independent Variables
Coded levels
-1 0 1
Concentration of sodium
salicylate (mol/L)1 1.5 2
Temperature (oC) 30 40 50
Loading (%) 1 3 5
101
Table 7.28 Experimental design and yield of mangiferin extracted using
sodium salicylate solution
RunConcentration,
mol/L
Temperature,oC
Loading,
%
Mangiferin
yield, mg/g
1 1.5 40 1 2.975
2 1.5 40 5 3.584
3 1.0 30 5 1.937
4 1.0 50 5 2.259
5 1.5 40 3 6.536
6 1.5 30 3 4.680
7 1.0 50 1 1.184
8 1.5 40 3 6.556
9 1.5 50 3 5.150
10 2.0 40 3 7.209
11 2.0 30 1 1.433
12 2.0 30 5 2.390
13 1.0 30 1 0.573
14 1.5 40 3 6.438
15 1.5 40 3 6.472
16 1.5 40 3 6.528
17 1.0 40 3 5.286
18 1.5 40 3 6.732
19 2.0 50 5 2.154
20 2.0 50 1 1.470
102
The mathematical model representing the yield of mangiferin as a
function of the independent variables within the region under investigation is
expressed by the following equation
Y = 6.498 + 0.342 X1 + 0.120X2 + 0.469X3 - 0.180X12 – 1.512X2
2
- 3.148X32
-0.142X1X2 - 0.099X1X3 - 0.070X2X3 (7.5)
The prediction of mangiferin yield using the equation 7.5 has been
compared with the experimental values given in Table 7.28 and shown in
Figure 7.17. It can be ascertained from the figure that the model equation
predictions satisfactorily match the experimental values.
The significance of the regression coefficients were analyzed using
p test and t test. The p values are used to check the consequences of
interactions among the variables. In general, the larger the magnitude of the t-
va1ue and smaller the p-value, the greater is the significance of the
corresponding coefficient term. The results of statistical analysis consists of
the regression coefficient, t and p values for linear, quadratic and combined
effects of the variables were given in the Table 7.29. It can be observed from
Table 7.29 that the coefficient for the linear effect of concentration of sodium
salicylate (p = 0.010) and raw material loading (p = 0.001) are significant
compared to the effect of temperature (p = 0.2897). The quadratic effect of
temperature and raw material loading (p = 0.000) are significant compared to
the quadratic effect of sodium salicylate concentration (p = 0.402). Finally the
coefficients of the interaction terms are the least influential terms in the model
(p > 0.05).
103
0
1
2
3
4
5
6
7
8
0 1 2 3 4 5 6 7 8
Experimental values
Pre
dic
ted
va
lues
Figure 7.17 Comparison of experimental and predicted values for
mangiferin yield
Table 7.29 Estimated regression equation coefficients for mangiferin
yield
Term CoefficientsSE
Coefficientst- value p- value
Constant 6.497 0.117 55.542 0.000
X1 0.342 0.108 3.176 0.010
X2 0.120 0.108 1.119 0.289
X3 0.469 0.108 4.358 0.001
X12
-0.180 0.205 -0.876 0.402
X22
-1.512 0.205 -7.370 0.000
X32
-3.148 0.205 -15.340 0.000
X1X2 -0.142 0.120 -1.176 0.267
X1X3 -0.099 0.120 -0.829 0.426
X2X3 -0.070 0.120 -0.584 0.572
104
The Analysis Of Variance (ANOVA) to determine the statistical
significance of the model equation was evaluated and the results are presented
in Table 7.30. The ANOVA of the regression model showed that the model is
statistically significant (p = 0.000). The linear and quadratic term in the model
were highly significant (p<0.05) and adequate to represent the relationship
between mangiferin yield and sodium salicylate concentration, system
temperature and raw material loading. The model adequacies were checked by
R2 and adjusted R
2. A higher value of R
2 (0.988) shows that the predicted
model suit the experimental behavior of the system. In addition, the value of
adjusted R2 (0.978) was also very high to support for a high significance of
the model.
Table 7.30 Analysis of variance (ANOVA) for the quadratic model
SourceDegree of
Freedom
Sum of
squares
Mean
squaresF -value p-value
Model 9 98.508 10.945 94.53 0.000
Linear 3 3.511 1.170 10.11 0.002
Quadratic 3 94.717 31.573 272.69 0.000
Interaction 3 0.297 0.093 0.80 0.520
Residual error 10 1.158 0.116
Lack of Fit 5 1.106 0.221 21.17 0.002
Pure error 5 0.052 0.010
Total 19 99.665
7.7.7 Analysis of response surface plot
The response surface plots (Figure 7.18-7.20) illustrate the
interactive effects of the extraction variables on mangiferin yield. Figure 7.18
105
shows the effects of sodium salicylate concentration and extraction
temperature on mangiferin yield, while the other variable raw material
loading is maintained constant at its middle level (3%). It can be ascertain
from Figure 7.18 that the mangiferin yield increases with increase in sodium
salicylate concentration where as for extraction temperature, mangiferin yield
increases only up to 40oC approximately. At higher value of extraction
temperature (above 40oC) mangiferin yield decreases.
Figure 7.18 Effect of sodium salicylate concentration and temperature
on mangiferin yield
Figure 7.19 Effect of sodium salicylate concentration and raw material
loading on mangiferin yield
106
Figure 7.19 shows the effects of sodium salicylate concentration and
raw material loading on mangiferin yield, while the system temperature is
kept constant at its middle level (40oC). It has been observed that the effect of
sodium salicylate concentration on the mangiferin yield was same as shown in
the Figure 7.18. When the raw material loading is increased, maximum yield
of mangiferin obtained approximately at 3%. Lower or higher than 3% raw
material loading decreases the mangiferin yield.
Figure 7.20 Effect of temperature and raw material loading on
mangiferin yield
Figure 7.20 shows the interaction effect of system temperature and
raw material loading on mangiferin yield while sodium salicylate
concentration is kept constant at its middle level (1.50 mol/L). It was
observed that the extraction temperature and raw material loading have
similar effect on mangiferin yield. The yield of mangiferin increases upto its
middle level value of both, system temperature and raw material loading
(40oC and 3%). Beyond these values the mangiferin yield starts to decrease.
It is evident from the response surface plots that the higher sodium
salicylate concentration (2.0mol/L) and middle value of extraction
temperature and raw material loading (40oC & 3%) gives maximum yield of
mangiferin.