Journal of Nuclear Science, Engineering and Technology (JONSAT)
In cooperation with the Iranian Nuclear Society

The Study of the Thermodynamic Regularities of Heavy Water Using Van Der Waals and Dieterici Models

Document Type : Research Paper

Authors

M Najafi
H Kermanian
https://doi.org/10.24200/nst.2019.748
Abstract
Heavy water has two heavy hydrogen atoms or deuterium. Chemical properties of heavy water are similar to light water, but their physical, thermodynamic, and nuclear properties are different. On the other hand, the Equation of State (EOS) is an important and suitable tool for studying the thermophysical behavior of materials and predicting them in different conditions in terms of pressure, temperature and amount. At present, there are different equations of state that can be categorized as theoreticall, empericall and semi-emperical. Regarding to the importance of heavy water and its role in various researches, in particular nuclear researches, and the application of this material in medicine and industry, the thermodynamic regularities of this material have been studied in this research using different semi-experimental equations of state based on van der Waals and Dieterici models. The comparison between calculations with the experimental data showed that the equations of state predicted the thermodynamic regularities of heavy water well qualitatively, but their quantitative behavior is different.

Highlights

 

[1] J.A. Ayres, C.A. Trilling, Heavy water and organic fluids as neutron moderator and reflector materials, Nuclear Engineering and Design,  14 (1971) 363-389.

 

[2] J. Kestin, J.V. Sengers, B. Kamgar-Parsi, J.M.H. Levelt Sengers, Thermophysical Properties of Fluid , J. Phys. Chem. Ref. Data, 13 (1984) 601-609.

 

[3] N.G. Polikhronidi, I.M. Abdulagatov, J.W. Magee, G.V. Stepanov, Isochoric Heat Capacity Measurements for Heavy Water Near the Critical Point, International Journal of Thermophysics, 23 (2002) 745-770.

 

[4] Heavy Water Reactors: Status and projected development, Technical Report Series, IAEA, (2002) 1-160.

 

[5] Y.S. Wei and R.J. Sadus, Equations of State for the Calculation of Fluid-Phase Equilibria, 46 (2000) 169-196.

 

[6] A. Maghari, L. Hosseinzadeh-Shahri, Evaluation of the performance of cubic equations of state in predicting the regularities in dense fluids, Fluid Phase Equilibria, 206 (2003) 287–311.

 

[7] J.S. Rowlinson, J.D. Van Der Waals, On the Continuity of the Gaseous and Liquid States, Elsevier, Amsterdam (1988) 170.

 

[8] O. Redlich, J.N.S. Kwong, On the Thermodynamics of  Solutions: An Equation of State, Fugacities of Gaseous Solutions, Chem. Rev., 233 (1949) 171.

 

[9] N.F. Carnahan, K.E. Starling, Intermolecular Repulsions and the Equation of State for Fluids, AIChE J, 1184 (1972) 171.

 

[10] M.M. Abbott, Cubic Equation of State: An Interpretive Review, Equations of State in Engineering and Research, Adv. in Chemistry Ser., 182, K.C. Chao and R.L. Robinson eds., American Chemical Society, Washington, DC, (1979).

 

[11] D.Y. Peng, D.B. Robinson, A New Two-Constant Equation of State, Ind. Eng. Chem. Fundam, 59 (1976) 171.

 

[12] G. Soave, Equilibrium Constants from a Modified Redlich-Kwong Equation of State, Chem. Eng. Sci., 27 (1972) 171.

 

[13] C. Dieterici, Ann. Phys. Chem. Wiedemanns Ann., 685 (1899) 1460.

 

[14] R.J. Sadus, Equations of state for fluids: The Dieterici approach revisited, J. Chem. Phys, 115 (2001) 1460.

 

[15] G.A. Parsafar, Statistical Thermodynamics; Theories and Applications, Esfahan University of Technology, Iran, Second Edition, (2009).

 

[16] I. Levin, Physical chemistry, sixth edition, Fatemi Publishing, (2010).

 

[17] NIST Chemistry WebBook, www.nist.gov.

 

Keywords

Heavy Water
Thermodynamic Regularities
Van Der Waals Model
Dieterici Model
 
[1] J.A. Ayres, C.A. Trilling, Heavy water and organic fluids as neutron moderator and reflector materials, Nuclear Engineering and Design,  14 (1971) 363-389.
 
[2] J. Kestin, J.V. Sengers, B. Kamgar-Parsi, J.M.H. Levelt Sengers, Thermophysical Properties of Fluid , J. Phys. Chem. Ref. Data, 13 (1984) 601-609.
 
[3] N.G. Polikhronidi, I.M. Abdulagatov, J.W. Magee, G.V. Stepanov, Isochoric Heat Capacity Measurements for Heavy Water Near the Critical Point, International Journal of Thermophysics, 23 (2002) 745-770.
 
[4] Heavy Water Reactors: Status and projected development, Technical Report Series, IAEA, (2002) 1-160.
 
[5] Y.S. Wei and R.J. Sadus, Equations of State for the Calculation of Fluid-Phase Equilibria, 46 (2000) 169-196.
 
[6] A. Maghari, L. Hosseinzadeh-Shahri, Evaluation of the performance of cubic equations of state in predicting the regularities in dense fluids, Fluid Phase Equilibria, 206 (2003) 287–311.
 
[7] J.S. Rowlinson, J.D. Van Der Waals, On the Continuity of the Gaseous and Liquid States, Elsevier, Amsterdam (1988) 170.
 
[8] O. Redlich, J.N.S. Kwong, On the Thermodynamics of  Solutions: An Equation of State, Fugacities of Gaseous Solutions, Chem. Rev., 233 (1949) 171.
 
[9] N.F. Carnahan, K.E. Starling, Intermolecular Repulsions and the Equation of State for Fluids, AIChE J, 1184 (1972) 171.
 
[10] M.M. Abbott, Cubic Equation of State: An Interpretive Review, Equations of State in Engineering and Research, Adv. in Chemistry Ser., 182, K.C. Chao and R.L. Robinson eds., American Chemical Society, Washington, DC, (1979).
 
[11] D.Y. Peng, D.B. Robinson, A New Two-Constant Equation of State, Ind. Eng. Chem. Fundam, 59 (1976) 171.
 
[12] G. Soave, Equilibrium Constants from a Modified Redlich-Kwong Equation of State, Chem. Eng. Sci., 27 (1972) 171.
 
[13] C. Dieterici, Ann. Phys. Chem. Wiedemanns Ann., 685 (1899) 1460.
 
[14] R.J. Sadus, Equations of state for fluids: The Dieterici approach revisited, J. Chem. Phys, 115 (2001) 1460.
 
[15] G.A. Parsafar, Statistical Thermodynamics; Theories and Applications, Esfahan University of Technology, Iran, Second Edition, (2009).
 
[16] I. Levin, Physical chemistry, sixth edition, Fatemi Publishing, (2010).
 
[17] NIST Chemistry WebBook, www.nist.gov.
 

Home