M. Yadav et al. / Journal of Molecular Liquids 208 (2015) 322–332
327
immersion time. The apparent activation energy (Ea) for dissolution of
mild steel in 15% HCl was calculated by using the Arrhenius equation.
−Ea
2:303RT
logCR ¼
þ logA
ð7Þ
where Ea is the apparent activation energy, R is the molar gas constant
(8.314 J K−1 mol−1), T is the absolute temperature (K) and A is the Arrhe-
nius pre-exponential factor. Fig. 2(a, b) presents the Arrhenius plot of
log CR against 1/T for the corrosion of mild steel in 15% HCl solution in
the absence and presence of inhibitors PQA and CPQA at concentrations
ranging from 50 to 400 ppm. From Fig. 2(a, b), the activation energy was
calculated using the expression Ea = −(slope) × 2.303R. The calculated
values of Ea are summarized in Table 2. It is evident from Table 2 that
the values of the apparent activation energy for the inhibited solutions
were higher than that for the uninhibited solution, indicating that the
dissolution of mild steel was decreased due to formation of a barrier
by the adsorption of the inhibitors on metal surface [39].
Fig. 7. Equivalent circuit applied for fitting of the impedance spectra.
surface covered by inhibitor molecules increases and that leads to an in-
crease in the inhibition efficiencies [37].
It is also clear from Table 1 that the inhibition efficiency decreased
with increasing temperature from 303 K to 333 K. Such type of behavior
can be described on the basis that the increase in temperature leads to a
shift of the equilibrium constant towards desorption of the inhibitor
molecules at the surface of mild steel [38]. The inhibition efficiency of
PQA is greater than CPQA at all concentrations and temperatures.
The values of standard enthalpy of activation (ΔH*) and standard en-
tropy of activation (ΔS*) can be calculated by using the transition state
equation:
ꢂ
ꢃ
ꢂ
ꢃ
3.1.2. Thermodynamic and activation parameters
RT
Nh
ΔSꢁ
R
ΔHꢁ
RT
CR ¼
exp
exp
−
ð8Þ
To evaluate the adsorption and thermodynamic activation parame-
ters of corrosion processes of mild steel in 15% HCl solution, weight
loss measurements were carried out in the temperature range
303–333 K in the absence and presence of inhibitors after 6 h of
where, h is Planck's constant and N is the Avogadro number,
respectively.
A plot of log (CR/T) against 1/T (Fig. 3a, b) gave straight lines with a
slope of −ΔH*/2.303R and an intercept of [log(R/Nh) + ΔS* / (2.303R)],
from which the activation thermodynamic parameters ΔH* and ΔS*
were calculated, as listed in Table 2. The negative value of ΔS* for both
inhibitors indicates that the formation of the activated complex in the
rate determining step represents an association rather than a dissocia-
tion step, meaning that a decrease in disorder takes place during the
course of the transition from reactants to activated complex [40].
3.1.3. Adsorption isotherm
Information on the interaction between the inhibitor molecules and
the mild steel surface can be provided by adsorption isotherm. Plotting
Cinh/θ vs. Cinh yielded a straight line (Fig. 4a, b) with a correlation coeffi-
cient (R2) and slope values given in Table 3 at different temperatures.
The R2 and slope values in Table 3 are near to unity indicating that the
adsorption of these inhibitors obeys the Langmuir adsorption isotherm.
The values of Kads were calculated from the intercept of Fig. 4(a, b).
Large values of Kads obtained for both studied inhibitors suggesting
more efficient adsorption and hence better corrosion inhibition efficien-
cy. Using the values of Kads, the values of ΔG°ads were obtained by using
the following equation:
ΔG0ads ¼ −RT lnðKads
Þ
ð9Þ
where R is the gas constant and T is the absolute temperature (K). The
value of 55.5 is the concentration of water in solution in mol L−1. Calcu-
lated values of Kads and ΔG°ads are listed in Table 3. The negative values
of ΔG°ads reveal the spontaneity of adsorption process. In general, values
of ΔG°ads up to −20 kJ mol−1 are compatible with physisorption and
those which are more negative than −40 kJ mol−1 involve chemisorp-
tions [41]. The calculated ΔG°ads values for PQA and CPQA were found
in the range of −34.4 to −36.0 and −33.7 to −35.9 kJ mol−1, respectively,
at different temperatures (303–333 K), these values were between the
threshold values for physical adsorption and chemical adsorption,
indicating that the adsorption process of these inhibitors at mild steel
surface involves both the physical as well as chemical adsorption. Simi-
lar conclusion was also reported by Ozcan [42], who studied the use of
cystine as a corrosion inhibitor on mild steel in sulfuric acid.
Fig. 8. Bode plots for mild steel in a 15% HCl solution in the absence and presence of differ-
ent concentrations of inhibitors (a) PQA, (b) CPQA.