Abstract
An electrochemical cell with two ion-selective electrodes (Na\(^{+}\) glass) and (Cl\(^{-}\) solid state) was used to measure the mean ionic activity coefficient of NaCl in an aqueous mixture containing NaCl, glycine, and NaNO\(_{3}\) at 308.15 K. The experiments were conducted at fixed molality of NaNO\(_{3}\) (0.1 m) and various molalities of glycine (0–1 m) and NaCl (up to 0.8 m). The experimental data were modeled using a modified version of the Pitzer equation. Finally the activity coefficient ratio of glycine was determined based on the Maxwell equation.
Similar content being viewed by others
Abbreviations
- \(\Delta E^\mathrm{I}\) :
-
Potential difference in the presence of NaCl
- \(\Delta E^{\mathrm{II}}\) :
-
Potential difference in the presence of NaCl and glycine
- \(\Delta E^{\mathrm{III}}\) :
-
Potential difference in the presence of NaCl, glycine, and NaNO\(_{3}\)
- \(\Delta E^{o}\) :
-
Standard potential difference of the cell
- S :
-
Nernstian slope
- m :
-
Concentration in molality
- \(m_\mathrm{A}\) :
-
Molality of amino acid
- \(m_\mathrm{B}\) :
-
Molality of NaCl
- \(m_\mathrm{C}\) :
-
Molality of NaNO\(_{3}\)
- \(\gamma _\pm ^\mathrm{I}\) :
-
Mean ionic activity coefficient of NaCl in aqueous solution without other solutes
- \(\gamma _\pm ^{\mathrm{II}}\) :
-
Mean ionic activity coefficient of NaCl in aqueous solution with glycine
- \(\gamma _\pm ^{\mathrm{III}}\) :
-
Mean ionic activity coefficient of NaCl in aqueous solution with glycine and NaNO\(_{3}\)
- \(\gamma _\mathrm{A}\) :
-
Amino acid activity coefficient
- K :
-
Selectivity coefficient
- \(\alpha \) :
-
Activity
- \(G^\mathrm{E}\) :
-
Excess Gibbs free energy
- T :
-
Temperature
- P :
-
Pressure
- \(\nu \) :
-
Stoichiometric coefficient
- \(\chi \) :
-
Ion–amino acid interaction
- \(\chi ^{\prime }\) :
-
\(\partial \chi /\partial (I)\)
- I :
-
Ionic strength
- \(\xi \) :
-
Interaction parameter
- \(\omega \) :
-
Interactions parameter
- \(\alpha _{0}\) :
-
Fixed value
- \(\chi ^{*}\) :
-
\({\partial \chi } /{\partial m_\mathrm{A}}\)
- \(\chi ^{**}\) :
-
\({\partial \chi ^{'}} /{\partial m_\mathrm{A}}\)
References
M. Soto-campos, M.K. Khoshkbarchi, J.H. Vera, Fluid Phase Equilib. 142, 193 (1998)
A. Sotoa, A. Arce, M.K. Khoshkbarchib, J.H. Vera, Biophys. Chem. 73, 77 (1998)
M.R. Dehghani, H. Modarress, M. Monirifar, J. Chem. Thermodyn. 37, 1305 (2005)
M.R. Dehghani, H. Modarress, M. Monirifar, J. Chem. Thermodyn. 38, 1049 (2006)
E.J. Cohn, J.T. Edsall, Proteins, Amino Acids and Peptides as Ions and Dipolar Ions (Hanfer, New York, 1965)
S. Modarresi, M.R. Dehghani, P. Alimardani, S.K. Sabzvar, F. Feyzi, Iran. J. Chem. Chem. Eng. 2, 32 (2013)
V.E. Bower, R.A. Robinson, J. Res. Natl. Bur. Stand. 69A, 131 (1965)
M.K. Khoshkbarchi, J.H. Vera, Ind. Eng. Chem. Res. 35, 2735 (1996)
E.N. Tsurko, R. Neueder, W. Kunz, J. Solution Chem. 36, 651 (2007)
G. Han, R.B.H. Tan, Chem. Eng. Sci. 64, 3983 (2009)
F. Sîrbu, O. Iulian, J. Chem. Eng. Data 55, 3853 (2010)
S. Preuss, A. Demchuk Jr., M. Stuke, Appl. Phys. A 61, 33 (1995)
A.M. Soto-Campos, M.K. Khoshkbarchi, J.H. Vera, Fluid Phase Equilib. 142, 193 (1998)
R.B. Gupta, R.A. Heidemann, AIChE J. 36, 333 (1990)
M.K. Khoshkbarchi, J.H. Vera, Ind. Eng. Chem. Res. 35, 4319 (1996)
M.R. Dehghani, H. Modarress, A. Bakhshi, Fluid Phase Equilib. 244, 153 (2006)
E. Salehi, M.R. Dehghani, A.R. Fazlali, Iran. J. Chem. Eng. 10(3), 14–26 (2013)
K.K. Nass, AIChE J. 34, 1257 (1988)
A.M. Peres, E.A. Macedo, Chem. Eng. Sci. 49, 3803 (1994)
L.F. Merida, R.R. Raposo, G.E.G. Garcia, M.A. Esteso, J. Electroanal. Chem. 379, 63 (1994)
A.H. Truesdell, P.B. Hostler, Science 161, 884 (1968)
M. Kamali-Ardakani, H. Modarress, J. Chem. Thermodyn. 33, 821 (2001)
A. Khavaninzadeh, H. Modarress, J. Chem. Thermodyn. 34, 1297 (2002)
A. Khavaninzadeh, H. Modarress, J. Chem. Thermodyn. 35, 1553 (2003)
M.A. Kamali, H. Modarress, V. Taghikhani, M.K. Khoshkbarchi, J. Chem. Thermodyn. 33, 821 (2001)
J.A. Rad, R.F. Platford, Activity Coefficients in Electrolyte Solution, ed by K.S. Pitzer, (CRC Press, Boston, 1991), pp. 209–278
R.R. Raposo, G.E.G. Garcia, L.F. Merida, M.A. Esteso, J. Electroanal. Chem. 379, 59 (1999)
W.C. Davidon, Variable Metric Method for Minimization, A.E.C. Research and Development Report, ANL-5990 (1959)
R. Fletcher, M.J.D. Powell, Comput. J. 6, 163 (1963)
R. Fletcher, Unconstrained Optimization, vol. 1 (Wiley, New York, 1980)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sheikholeslami, P., Dehghani, M.R. & Safahieh, T. Measurement and Modeling of Mean Activity Coefficients of NaCl in an Aqueous Mixed Electrolyte Solution Containing Glycine. Int J Thermophys 37, 83 (2016). https://doi.org/10.1007/s10765-016-2088-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10765-016-2088-3