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Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from different Approaches

Year 2015, Volume: 18 Issue: 3, 150 - 159, 06.08.2015
https://doi.org/10.5541/ijot.5000057147

Abstract

Abstract
Density and speed of sound were measured earlier by us for binary liquid mixtures formed by Benzonitrile, Chlorobenzene, Benzyl chloride and Benzyl alcohol with Benzene at temperature range 298.15 to 313.15 K and atmospheric pressure over the whole concentration range. Pseudo-Gruneisen parameter and internal pressure were derived from the measured values of density and ultrasonic velocity. These values were compared with the theoretical values obtained by the utilization of Flory theory, Ramaswamy and Anbananthan model and model suggested by Glinski to predict the behavior of weakly interacting liquids. The observed properties derived from measured data were fitted to Redlich-Kister polynomial relation to estimate the binary coefficients and standard errors. Excess Pseudo-Gruneisen parameter for these binary mixtures was computed to study the molecular interactions involved in the liquid systems.

References

  • [1] L. Knopoff, J. N. Shapiro, “Pseudo-Grüneisen Parameter for Liquids”, Phys. Rev. B, 1, 2893, 1970.
  • [2] R. K. Shukla, S. K. Shukla, V. K. Pandey, P. Awasthi, “Excess Internal Pressure, Excess Energy of Vaporization and Excess Pseudo-Gruneisen Parameter of Binary, Ternary and Quaternary Liquid Mixtures”, J. Molliq. Liq., 137, 104-109, 2008.
  • [3] R. K. Shukla, Atul Kumar, Kirti Srivastava, Sanjay Gupta, Shilpi Yadav, “A Comparative Study of PFP and BAB Models in Predicting the Excess ThermoAcoustical and its Allied Properties of Liquid Ternary Mixtures”, J. Molliq. Liq., 140, 25-32, 2008.
  • [4] J. D. Pandey, R. Day, “Excess Internal Pressure and Excess Pseudo-Gruneisen Parameter of Binary Liquid Mixtures”, Acous. Lett., 24, 105-109, 2000.
  • [5] J. D. Pandey, G. P. Dubey, R. Day, S. N. Dubey, “Temperature and Pressure Dependence of ThermoAcoustical Parameters of Liquid Argon and Krypton”, Acta Acustica, 83, 90-92, 1997.
  • [6] J. D. Pandey, A. D. M. David, “Pseudo-Gruneisen Parameter of Molten Salts and their Binary Mixtures”, J. Chem. Phys., 77, 1064, 1982.
  • [7] J. D. Pandey, A. K. Shukla, N. Tripathi, G. P. Dubey, “Internal pressure, ultrasonic velocity and viscosity of multi-component liquid systems”, Pramana J. Phys., 40, 1-87, 1993.
  • [8] J. H. Hildebrand and R. L. Scott, The Solubility of NonElectrolytes, 3rd ed., Dover Publication, New York, NY, 1964.
  • [9] M. R. J Dack, “Solvent structure. The use of internal pressure and cohesive energy density to examine contributions to solvent-solvent interactions”, Aust. J. Chem., 28, 1643 – 1648, 1975.
  • [10] D. F. Grant-Taylor, D. D. Macdonald, “Water system + Thermal Pressure and Energy–Volume Coefficients for the acetonitrile”, Can. J. Chem., 54, 2813-2819, 1976.
  • [11] D. D. Macdonald, J. B. Hyne, “The Thermal Pressure and Energy–Volume Coefficients of Dimethyl Sulfoxide – Water Mixtures”, Can. J. Chem., 49, 611-617, 1971.
  • [12] J. D. Pandey, N. Tripathi, R. Dey, “Thermodynamic and thermo-Acoustical Parameters of Pure Liquids at Elevated Pressures”, Ind. J. Phys., 70B, 147 -155, 1996.
  • [13] B. K. Sharma, “Nonlinearity acoustical parameter and its relation with Rao’s Acoustical Parameter of liquid state”, Acoust. Soc. Am., 73, 106, 1983.
  • [14] J. D. Pandey, A. K. Singh, R. Dey, “Novel Approach for the Prediction of Ultrasonic Velocity in Quaternary Liquid Mixtures”, Pramana J. Phys, 64, 135-139, 2005.
  • [15] Ranjan Dey, A. K. Singh, J. D. Pandey, “A New Theoretical Approach for Estimating Excess Internal Pressure”, J. Molliq. Liq., 124,121-123, 2006.
  • [16] R. K. Shukla, A. Kumar, “Internal Pressure, Energy of Vaporization and Solubility Parameter of Pb-Sn Molten Binary Mixture at Elevated Temperatures”, Acta. Chim. Solv., 55, 627-631, 2008.
  • [17] R. K. Shukla, S. Shukla, V. Pandey, P. Awasthi, “Sound Velocity, Effective Debye Temperature and Pseudo-Gruneisen Parameter of Pb-Sn Molten Mixture at Elevated Temperatures”, J.Phys. & Chem. Liq., 45, 169-180, 2007.
  • [18] R. K. Shukla, V. K. Pundhir, V. S. Gangwar, Kirti Srivastava, “Thermo-acoustical and Allied Properties of Binary Liquid Systems”, J. Pure Appl. Ultrason, 35, 35-43, 2013.
  • [19] P. Jain, M. Singh, “Density, Viscosity, and Excess Properties of Binary Liquid Mixtures of Propylene Carbonate with Polar and Nonpolar Solvents”, J. Chem. Eng. Data., 49, 1214-1217, 2004.
  • [20] J. D. Pandey, N. K. Soni, R. Day, R. Verma, “Excess Functions of Binary Liquid Mixtures at Varying Pressures”, Fluid Phase Equil, 15, 17-22, 2004.
  • [21] R. K. Shukla, A. Kumar, N. Awasthi, U. Srivastava, K. Srivastava, “Speed of Sound and Isentropic Compressibility of Benzonitrile, Chlorobenzene, Benzyl chloride and Benzyl alcohol with Benzene from Various Models at Temperature Range 298.15 to 313.15 K", Arabian J. of Chem. DOI:10.1016/ j.arabjc.2014.07. 0132014)
  • [22] A. Abe, P. J. Flory, “The thermodynamic properties of mixtures of small non-polar molecules”, J. Am. Chem. Soc., 82, 1838-1845,1965.
  • [23] P. J. Flory, R. A. Orwoll, A. Vrij, “Statistical thermodynamics of chain molecule liquids, liquid mixtures of normal paraffin hydrocarbon”, J. Amer. Chem. Soc., 86, 3515-3520, 1964.
  • [24] K. Ramaswamy, D. Anbananthan, original article unavailable, information taken from Ref. [3], Acustica, 48, 281-282, 1981.
  • [25] J. Glinski, “Determination of the conditional association constants from the sound velocity data in binary liquid mixtures”, J. Chem. Phy., 118, 2301- 2307, 2003.
  • [26] O. Redlich, A.T. Kister, “Thermodynamics of nonelectrolytic solutions. Algebric representation of thermodynamic properties and the classification of solutions”, Ind. Eng. Chem., 40, 345-348, 1948. [27] G. Natta, M. Baccaredda, Atti Accad. Naz. Lincei., 4, 360, 1948.
  • [28] R. K. Shukla, N. Awasthi, A. Kumar, A. Shukla, V. K. Pandey, “Prediction of Associational Behaviour of Binary Liquid Mixtures from Viscosity Data”, J. Molliq. Liq., 158, 131-138, 2011.
  • [29] J. D. Pandey, R. Verma, “Inversion of the KirkwoodBuff theory of solutions: Application to binary systems”, Chem. Phys., 270, 429-438, 2001.
  • [30] A. Riddick, W. B. Bunger and T. K. Sakano, Organic Solvents Techniques of Chemistry, 4th Ed. Willey: New York, 1986.
  • [31] S. J. Askar, A. Ali, “Effect of temperature on the molecular dynamics of some binary mixtures by ultrasonic method”, J. Chem. & Pharm. Res., 4, 617- 632, 2012.
  • [32]AL-Kandary, A. Jasem, AL-Jimaz, S. Adel, A. Haq, M. A. Latif, “Viscosities, Densities, and Speeds of Sound of Binary Mixtures of Benzene, Toluene, o-Xylene, mXylene, p-Xylene, and Mesitylene with Anisole at (288.15, 293.15, 298.15, and 303.15) K”, J. Chem. Eng. Data.,51, 2074-2082, 2006.
  • [33] L-Jimaz., S. Adel, AL-Kandary, A. Jasem, A. Haq, M. A Latif, “Acoustical and Excess Properties of {Chlorobenzene + 1-Hexanol, or 1-Heptanol, or 1- Octanol, or 1-Nonanol, or 1-Decanol} at (298.15, 303.15, 308.15, and 313.15) K”, J. Chem. Eng. Data. 52, 206-214, 2007.
Year 2015, Volume: 18 Issue: 3, 150 - 159, 06.08.2015
https://doi.org/10.5541/ijot.5000057147

Abstract

References

  • [1] L. Knopoff, J. N. Shapiro, “Pseudo-Grüneisen Parameter for Liquids”, Phys. Rev. B, 1, 2893, 1970.
  • [2] R. K. Shukla, S. K. Shukla, V. K. Pandey, P. Awasthi, “Excess Internal Pressure, Excess Energy of Vaporization and Excess Pseudo-Gruneisen Parameter of Binary, Ternary and Quaternary Liquid Mixtures”, J. Molliq. Liq., 137, 104-109, 2008.
  • [3] R. K. Shukla, Atul Kumar, Kirti Srivastava, Sanjay Gupta, Shilpi Yadav, “A Comparative Study of PFP and BAB Models in Predicting the Excess ThermoAcoustical and its Allied Properties of Liquid Ternary Mixtures”, J. Molliq. Liq., 140, 25-32, 2008.
  • [4] J. D. Pandey, R. Day, “Excess Internal Pressure and Excess Pseudo-Gruneisen Parameter of Binary Liquid Mixtures”, Acous. Lett., 24, 105-109, 2000.
  • [5] J. D. Pandey, G. P. Dubey, R. Day, S. N. Dubey, “Temperature and Pressure Dependence of ThermoAcoustical Parameters of Liquid Argon and Krypton”, Acta Acustica, 83, 90-92, 1997.
  • [6] J. D. Pandey, A. D. M. David, “Pseudo-Gruneisen Parameter of Molten Salts and their Binary Mixtures”, J. Chem. Phys., 77, 1064, 1982.
  • [7] J. D. Pandey, A. K. Shukla, N. Tripathi, G. P. Dubey, “Internal pressure, ultrasonic velocity and viscosity of multi-component liquid systems”, Pramana J. Phys., 40, 1-87, 1993.
  • [8] J. H. Hildebrand and R. L. Scott, The Solubility of NonElectrolytes, 3rd ed., Dover Publication, New York, NY, 1964.
  • [9] M. R. J Dack, “Solvent structure. The use of internal pressure and cohesive energy density to examine contributions to solvent-solvent interactions”, Aust. J. Chem., 28, 1643 – 1648, 1975.
  • [10] D. F. Grant-Taylor, D. D. Macdonald, “Water system + Thermal Pressure and Energy–Volume Coefficients for the acetonitrile”, Can. J. Chem., 54, 2813-2819, 1976.
  • [11] D. D. Macdonald, J. B. Hyne, “The Thermal Pressure and Energy–Volume Coefficients of Dimethyl Sulfoxide – Water Mixtures”, Can. J. Chem., 49, 611-617, 1971.
  • [12] J. D. Pandey, N. Tripathi, R. Dey, “Thermodynamic and thermo-Acoustical Parameters of Pure Liquids at Elevated Pressures”, Ind. J. Phys., 70B, 147 -155, 1996.
  • [13] B. K. Sharma, “Nonlinearity acoustical parameter and its relation with Rao’s Acoustical Parameter of liquid state”, Acoust. Soc. Am., 73, 106, 1983.
  • [14] J. D. Pandey, A. K. Singh, R. Dey, “Novel Approach for the Prediction of Ultrasonic Velocity in Quaternary Liquid Mixtures”, Pramana J. Phys, 64, 135-139, 2005.
  • [15] Ranjan Dey, A. K. Singh, J. D. Pandey, “A New Theoretical Approach for Estimating Excess Internal Pressure”, J. Molliq. Liq., 124,121-123, 2006.
  • [16] R. K. Shukla, A. Kumar, “Internal Pressure, Energy of Vaporization and Solubility Parameter of Pb-Sn Molten Binary Mixture at Elevated Temperatures”, Acta. Chim. Solv., 55, 627-631, 2008.
  • [17] R. K. Shukla, S. Shukla, V. Pandey, P. Awasthi, “Sound Velocity, Effective Debye Temperature and Pseudo-Gruneisen Parameter of Pb-Sn Molten Mixture at Elevated Temperatures”, J.Phys. & Chem. Liq., 45, 169-180, 2007.
  • [18] R. K. Shukla, V. K. Pundhir, V. S. Gangwar, Kirti Srivastava, “Thermo-acoustical and Allied Properties of Binary Liquid Systems”, J. Pure Appl. Ultrason, 35, 35-43, 2013.
  • [19] P. Jain, M. Singh, “Density, Viscosity, and Excess Properties of Binary Liquid Mixtures of Propylene Carbonate with Polar and Nonpolar Solvents”, J. Chem. Eng. Data., 49, 1214-1217, 2004.
  • [20] J. D. Pandey, N. K. Soni, R. Day, R. Verma, “Excess Functions of Binary Liquid Mixtures at Varying Pressures”, Fluid Phase Equil, 15, 17-22, 2004.
  • [21] R. K. Shukla, A. Kumar, N. Awasthi, U. Srivastava, K. Srivastava, “Speed of Sound and Isentropic Compressibility of Benzonitrile, Chlorobenzene, Benzyl chloride and Benzyl alcohol with Benzene from Various Models at Temperature Range 298.15 to 313.15 K", Arabian J. of Chem. DOI:10.1016/ j.arabjc.2014.07. 0132014)
  • [22] A. Abe, P. J. Flory, “The thermodynamic properties of mixtures of small non-polar molecules”, J. Am. Chem. Soc., 82, 1838-1845,1965.
  • [23] P. J. Flory, R. A. Orwoll, A. Vrij, “Statistical thermodynamics of chain molecule liquids, liquid mixtures of normal paraffin hydrocarbon”, J. Amer. Chem. Soc., 86, 3515-3520, 1964.
  • [24] K. Ramaswamy, D. Anbananthan, original article unavailable, information taken from Ref. [3], Acustica, 48, 281-282, 1981.
  • [25] J. Glinski, “Determination of the conditional association constants from the sound velocity data in binary liquid mixtures”, J. Chem. Phy., 118, 2301- 2307, 2003.
  • [26] O. Redlich, A.T. Kister, “Thermodynamics of nonelectrolytic solutions. Algebric representation of thermodynamic properties and the classification of solutions”, Ind. Eng. Chem., 40, 345-348, 1948. [27] G. Natta, M. Baccaredda, Atti Accad. Naz. Lincei., 4, 360, 1948.
  • [28] R. K. Shukla, N. Awasthi, A. Kumar, A. Shukla, V. K. Pandey, “Prediction of Associational Behaviour of Binary Liquid Mixtures from Viscosity Data”, J. Molliq. Liq., 158, 131-138, 2011.
  • [29] J. D. Pandey, R. Verma, “Inversion of the KirkwoodBuff theory of solutions: Application to binary systems”, Chem. Phys., 270, 429-438, 2001.
  • [30] A. Riddick, W. B. Bunger and T. K. Sakano, Organic Solvents Techniques of Chemistry, 4th Ed. Willey: New York, 1986.
  • [31] S. J. Askar, A. Ali, “Effect of temperature on the molecular dynamics of some binary mixtures by ultrasonic method”, J. Chem. & Pharm. Res., 4, 617- 632, 2012.
  • [32]AL-Kandary, A. Jasem, AL-Jimaz, S. Adel, A. Haq, M. A. Latif, “Viscosities, Densities, and Speeds of Sound of Binary Mixtures of Benzene, Toluene, o-Xylene, mXylene, p-Xylene, and Mesitylene with Anisole at (288.15, 293.15, 298.15, and 303.15) K”, J. Chem. Eng. Data.,51, 2074-2082, 2006.
  • [33] L-Jimaz., S. Adel, AL-Kandary, A. Jasem, A. Haq, M. A Latif, “Acoustical and Excess Properties of {Chlorobenzene + 1-Hexanol, or 1-Heptanol, or 1- Octanol, or 1-Nonanol, or 1-Decanol} at (298.15, 303.15, 308.15, and 313.15) K”, J. Chem. Eng. Data. 52, 206-214, 2007.
There are 32 citations in total.

Details

Primary Language English
Journal Section Regular Original Research Article
Authors

Rajeev Shukla

R. K. Shukla

Vikas Gangwar This is me

Sadhna Shukla This is me

Manish Tiwari This is me

Kirti Tenguriya This is me

Publication Date August 6, 2015
Published in Issue Year 2015 Volume: 18 Issue: 3

Cite

APA Shukla, R., Shukla, R. K., Gangwar, V., Shukla, S., et al. (2015). Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from different Approaches. International Journal of Thermodynamics, 18(3), 150-159. https://doi.org/10.5541/ijot.5000057147
AMA Shukla R, Shukla RK, Gangwar V, Shukla S, Tiwari M, Tenguriya K. Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from different Approaches. International Journal of Thermodynamics. August 2015;18(3):150-159. doi:10.5541/ijot.5000057147
Chicago Shukla, Rajeev, R. K. Shukla, Vikas Gangwar, Sadhna Shukla, Manish Tiwari, and Kirti Tenguriya. “Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from Different Approaches”. International Journal of Thermodynamics 18, no. 3 (August 2015): 150-59. https://doi.org/10.5541/ijot.5000057147.
EndNote Shukla R, Shukla RK, Gangwar V, Shukla S, Tiwari M, Tenguriya K (August 1, 2015) Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from different Approaches. International Journal of Thermodynamics 18 3 150–159.
IEEE R. Shukla, R. K. Shukla, V. Gangwar, S. Shukla, M. Tiwari, and K. Tenguriya, “Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from different Approaches”, International Journal of Thermodynamics, vol. 18, no. 3, pp. 150–159, 2015, doi: 10.5541/ijot.5000057147.
ISNAD Shukla, Rajeev et al. “Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from Different Approaches”. International Journal of Thermodynamics 18/3 (August 2015), 150-159. https://doi.org/10.5541/ijot.5000057147.
JAMA Shukla R, Shukla RK, Gangwar V, Shukla S, Tiwari M, Tenguriya K. Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from different Approaches. International Journal of Thermodynamics. 2015;18:150–159.
MLA Shukla, Rajeev et al. “Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from Different Approaches”. International Journal of Thermodynamics, vol. 18, no. 3, 2015, pp. 150-9, doi:10.5541/ijot.5000057147.
Vancouver Shukla R, Shukla RK, Gangwar V, Shukla S, Tiwari M, Tenguriya K. Pseudo-Gruneisen Parameter and Internal Pressure of Binary Mixtures from different Approaches. International Journal of Thermodynamics. 2015;18(3):150-9.