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The limiting areas calculated for FS1 and FS2 were 117.2 and
85.7 Å2/molecule, respectively. The values match well with the
commercially available spherical surfactants. It is interesting that
the area per molecule at the air–water interface is smaller for
FS2 than for FS1. It seems that more favourable intra- or intermo-
lecular hydrogen bonding leads to better packing of the FS2.
The oil–water interfacial tension was measured using KRUSS
spinning drop tensiometer. The surfactant concentrations were
chosen well above CMC, 1.0 mM for both FS1 and FS2. The oil taken
was n-heptane with a density of 0.684 gm/cm3. The IFT was found
to be 0.5167 mN/m for FS1 and 0.8460 mN/m for FS2. Detergency
of oily soil is a complex kinetic process that includes contributions
from the wash system physical properties, time and temperature
of wash, and the hydrodynamic forces exerted during the wash
process. Generally, surfactant mixtures that exhibit a low oil–
water interfacial tension are considered to provide superior oily
soil detergency. A quantitative understanding of detergency will
be imperative in robust formulation design. There have been
attempts to correlate oily soil removal with easily measurable
physical property of the wash system. In particular, the oil–water
interfacial tension is one property that has been used to correlate
oily soil detergency.33–37 A preliminary look at correlating a com-
plex kinetic process like detergency with a thermodynamic param-
eter like interfacial tension appears to be flawed. The works of
Verma and Kumar38 indicate that a general correlation of oil–water
interfacial tension with oily soil removal does not exist. Detergency
of oily soils is a complex kinetic phenomenon, which can be
described by the mass transfer process, which includes surfactant
adsorption at various interfaces, detachment of oil from the surface
and suspension of these molecules in surfactant micelles, or as
emulsified drops. It is also obvious that the soil removal/suspend-
ing capacity of the wash liquor is defined and intimately related to
various thermodynamic quantities such as the oil–water interfacial
tension. Also, the spinning drop tensiometer is only useful for mea-
surement of the oil–water interface on the hydrophilic side of the
phase inversion temperature for nonionic surfactants. Above this
temperature, the surfactant will be relatively more oleophilic and
will try to form a water-in-oil emulsion in an agitated state. This
implies that the curvature will be concave towards the oil phase.
In the spinning drop tensiometer, this will just cause the oil droplet
to spread along the length giving misleading results for interfacial
tension. Therefore, instead of attempting to predict the detergency
of these surfactants, we can just say that the values are comparable
to the commercially available EO group of surfactants.38 Actual
study with formulations and soil will be required to understand
the detergency of these surfactants which is underway.
FS 1
FS2
0
0
20
40
60
80
100
[Ca2+] (mM)
Figure 6. Turbidimetric plots for interaction of FS1 and FS2 with Ca2+ ions.
[FS1] = 0.5 mM and [FS2] = 1 mM.
the surfactants have high level of Ca(II) tolerance. Up to ꢀ40 mM
for FS1 the turbidity does not change significantly indicating resis-
tance of the surfactants to Ca2+ precipitation. At higher concentra-
tion however, Ca2+ start precipitating leading to higher turbidity of
the solutions as shown in Figure 6. However, it is interesting to see
that FS2 seems to be even more Ca2+ tolerant compared to FS1. The
turbidity of the solutions hardly changes within the experimental
limits of our study. This shows that the effectivity of FS2 as a Ca(II)
tolerant surfactant is highly potential. This is probably happening
because the packing of the FS2 molecules are much better than
FS1 as we found out from our light scattering studies. In other
words, the steric crowding at the carbonyl oxygen which helps in
forming stable complexes with Ca(II) ions, is lesser in case of FS2
as compared to FS1. Perhaps the presence of a long hydrophobic
tail attached with the carbonyl oxygen in case of FS1 leads to effec-
tive binding with Ca2+ ions and better packing of surfactants. This
ultimately results in reduction in the precipitation of Ca2+ ions and
therefore increases the Ca2+ ion tolerance of FS2 compared to FS1.
Surface tensiometry
CaCl2 was added to an aqueous solution of the surfactants at a
concentration much higher than the CMC and the surface tension
was monitored. The results are shown in Figure 7. The surface ten-
sion remained approximately constant up to a CaCl2 concentration
of ꢀ40 mM for FS1, after which it rapidly increased. The strong
increase is most likely due to precipitation of the surfactant as
the calcium salt. Similarly the surface tension of FS2 with increas-
ing Ca(II) concentration was found to remain almost constant
within our experimental range. The results comply with those
obtained from the turbidimetric studies and confirm high toler-
ance of these synthesized surfactants towards Ca(II), especially
for that of FS2.
The effect of calcium ion on the behaviour of the two surfac-
tants was studied to understand the Ca2+ resistivity of the surfac-
tants. This method has been previously exploited by Bordes et al.
and is a very well known method for determining calcium resistiv-
ity of a particular surfactant.39 CaCl2 solutions of increasing con-
centrations were progressively added to
a stock surfactant
solution of FS1 and FS2 well above their CMC concentrations. The
effect of precipitation (of absence of it thereof) was monitored
through studying their physicochemical properties to estimate
the Ca2+ resistivity of the surfactants. This was studied using two
methods: (i) turbidimetry and (ii) surface tensiometry. The results
have been discussed in the following section:
NMR studies
NMR was used to determine quantitatively the amount of sur-
factant remaining in solution as the CaCl2 concentration was
increased. The results, shown in Figure 8, confirm that the FS2 sur-
factant is more calcium tolerant than the two other surfactants.
A tentative explanation for the difference is the following. These
surfactants should be capable of forming intramolecular chelates
with the divalent calcium ion, leading to stable membered rings.
However, the steric crowding for forming this in case of FS1 > FS2,
Turbidimetry
The effect of addition of Ca(II) ions on the precipitation behav-
iour of FS1 and FS2 was studied by monitoring the turbidity of the
solutions with progressively increasing concentration of Ca(II)
ions. The results are given in Figure 6. The results depict that both