Abstract
Rankine cycle is widely used in industry to convert heat to work using a working fluid. A mixture of o-and m-isomers of dichlorobenzene can act efficiently as a working fluid in the cycle. An equation of state (EoS) approach was chosen to model vapor-liquid equilibria and phase properties in the system. The best results were achieved with Tsai-Chen EoS. Experimental measurements of volumetric properties of mixtures and solid-liquid equilibria were performed. These data were correctly predicted within the ideal assumption. An enthalpy-pressure diagram for the o-dichlorobenzene — m-dichlorobenzene system was calculated using the resulting EoS.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Abbreviations
- a:
-
parameter of equation of state [Pa·m6/mol2]
- ai :
-
parameter of equation of state for pure component [Pa·m6/mol2]
- aij :
-
interaction parameters for mixture [Pa·m6/mol2]
- A:
-
dimensionless parameter [-]
- A* :
-
calibration coefficient
- b:
-
parameter of equation of state [m3/mol]
- bi :
-
parameter of equation of state for pure component [m3/mol]
- B:
-
dimensionless parameter [-]
- B* :
-
calibration coefficient
- c:
-
parameter of equation of state [m3/mol]
- ci :
-
parameter of equation of state for pure component [m3/mol]
- cr:
-
crystal
- C:
-
dimensionless parameter [-]
- Cp :
-
isobaric heat capacity [J/(mol·K)]
- DSC:
-
signal in differential scanning calorimetry [mW/mg]
- f:
-
fugacity [Pa]
- g:
-
Gibbs energy of phase [J/mol]
- h:
-
enthalpy [kJ/kg]
- kl :
-
parameter in Eq. (15)
- k2 :
-
parameter in Eq. (15)
- k3 :
-
parameter in Eq. (15)
- kij :
-
binary interaction parameter [-]
- m:
-
multiplier in expression for alpha-function [-]
- M:
-
molecular weight [g/mol]
- M* :
-
individual parameter of fluid [-]
- MRD:
-
maximum relative deviation [%]
- N:
-
number of data points [-]
- N* :
-
individual parameter of fluid [-]
- P:
-
pressure [Pa]
- Psat :
-
pressure of saturated vapor [Pa]
- R:
-
gas constant [J/(K*mol)]
- S1/2 :
-
half-area of solidus peak [J/g]
- T:
-
absolute temperature [K]
- T:
-
liquidus temperature [K]
- Tm :
-
melting point [K]
- Tr :
-
reduced temperature [-]
- Ts :
-
solidus temperature [K]
- u:
-
standard uncertainty
- v:
-
molar volume [m3/mol]
- vE :
-
excess volume of a mixture [m3/mol]
- w:
-
mass fraction [%]
- z:
-
mole fraction [%]
- Z:
-
compressibility factor [-]
- α :
-
alpha-function [-]
- ρ :
-
density of liquid [g/ml]
- τ :
-
oscillation period [ms]
- φ :
-
fugacity coefficient [-]
- ω :
-
acentric factor [-]
- Δhm :
-
enthalpy of fusion [kJ/mol]
- 1:
-
component 1
- 2:
-
component 2
- c:
-
critical property
- calc:
-
calculated
- exp:
-
experimental
- i:
-
component i
- j:
-
component j
- r:
-
relative
- EoS:
-
equation of state
- VT—EoS:
-
volume-translated equation of state
- L:
-
liquid
- V:
-
vapor
- 0:
-
reference state
References
M. Moran, H. Shapiro, D. Boettner and M. Bailey, Fundamentals of engineering thermodynamics, 8th ed., Wiley, Hoboken (2014).
K. Sipilä, Advanced District Heating and Cooling (DHC) Systems. Chapter 3 — Cogeneration, biomass, waste to energy and industrial waste heat for district heating, 1st ed., Woodhead Publishing, Cambridge (2016).
G. Belov and M. Dorokhova, Sci. Educ. Bauman MSTU., 14, 99 (2014).
V. Pethurajan, S. Sivan and G. C. Joy, Energy Convers. Manag., 166, 474 (2018).
N. A. Lai, M. Wendland and J. Fischer, Energy, 36, 199 (2011).
U. Drescher and D. Bru, Appl. Therm. Eng., 27, 223 (2007).
C. Sprouse and C. Depcik, Appl. Therm. Eng., 51, 711 (2013).
M. Holik, M. Živić, Z. Virag, A. Barac, M. Vujanović and J. Avsec, Energy Convers. Manag., 232, 113897 (2021).
D. A. Kosova, A. L. Voskov, N. A. Kovalenko and I. A. Uspenskaya, Fluid Phase Equilib., 425, 312 (2016).
E. V. Belova, V. S. Krasnov, A. B. Ilyukhin and I. A. Uspenskaya, Thermochim. Acta, 668, 46 (2018).
C. L. Young, C. A. Tran and D. W. Morton, J. Chem. Eng. Data, 62, 2953 (2017).
D. W. Morton, M. P. W. Lui, C. A. Tran and C. L. Young, J. Chem. Eng. Data, 45, 437 (2000).
B. E. Poling and J. M. Prausnitz, The properties of gases and liquids, 5th ed., McGraw-Hill, New York (2001).
R. Reid, J. Prausnitz and T. Sherwood, The properties of gases and liquids, 4th ed., McGraw-Hill, New York (1977).
K. Dayananda Reddy, M. Prabhakara Rao and M. Ramakrishna, Phys. Chem. Liq. An Int. J., 15, 59 (1985).
A. J. Easteal, P. J. Back and L. A. Woolf, J. Chem. Eng. Data, 42, 1261 (1997).
J. Sekar, P. Naidu and J. W. Acree, J. Chem. Eng. Data, 38, 167 (1993).
S. S. Yadava, S. Singh, R. Bhan and N. Yadav, Korean J. Chem. Eng., 28, 256 (2011).
S. S. Yadava, R. Bhan and N. Yadav, J. Solution Chem., 41, 926 (2012).
R. R. Dreisbach, Physical properties of chemical compounds. advances in chemistry, Vol. 15, American Chemical Society, Washington (1961).
J. G. Baragi, M. I. Aralaguppi, T. M. Aminabhavi, M. Y. Kariduraganavar and S. S. Kulkarni, J. Chem. Eng. Data, 50, 917 (2005).
W.-M. Melzer, W. Baldauf and H. Knapp, Chem. Eng. Process. Process Intensif., 26, 71 (1989).
R. Raju, S. Ravikumar, K. Sivakumar, M. Raveendra and V. Pandiyan, Chem. Data Collect., 17–18, 41 (2018).
W. Haynes, D. Lide and T. Bruno, CRC handbook of chemistry and physics, 95th ed., CRC PRESS, Boca Raton (2014).
V. Syamala, D. Sekhar, K. Sivakumar and P. Venkateswarlu, Phys. Chem. Liq. An Int. J., 48, 171 (2010).
K. Ramanjaneyulu, A. Krishnaiah and M. Ramakrishna, Fluid Phase Equilib., 40, 311 (1988).
S. C. Bhatia, J. Sangwan, R. Rani and R. Bhatia, Int. J. Thermophys., 32, 2027 (2011).
P. Góralski and H. Piekarski, J. Chem. Eng. Data, 52, 655 (2007).
P. M. Reddy, K. Siva and P. Venkatesu, Fluid Phase Equilib., 310, 74 (2011).
M. M. Mato, J. Balseiro, J. Salgado, E. Jime, L. Legido, M. M. Pin, F. De Ciencias and E.-A. Corun, J. Chem. Eng. Data, 47, 4 (2002).
G. P. Chand, M. G. Sankar, P. N. V. V. L. P. Rani and C. Rambabu, J. Mol. Liq., 201, 1 (2015).
P. V. Rao, T. S. Krishna, M. Gowri and K. Ravindhranath, J. Mol. Liq., 222, 873 (2016).
V. Syamala, K. S. Kumar and P. Venkateswarlu, J. Chem. Thermodyn., 38, 1553 (2006).
V. Syamala, L. Venkatramana, C. N. Rao, K. Sivakumar, P. Venkateswarlu and R. L. Gardas, Fluid Phase Equilib., 397, 68 (2015).
P. Vasundhara, C. N. Rao, L. Venkatramana, K. Sivakumar, P. Venkateswarlu and R. L. Gardas, J. Mol. Liq., 202, 158 (2015).
L. Venkatramana, K. Sivakumar, V. Govinda and K. D. Reddy, J. Mol. Liq., 186, 163 (2013).
G. Towler and R. Sinnott, Chemical engineering design principles, practice and economics of plant and process design, Butterworth-Heinemann, Oxford (2012).
F. M. Jaeger, Zeitschrift Für Anorg. Und Allg. Chemie., 101, 1 (1916).
V. C. Kumar, B. Sreenivasulu and P. R. Naidu, J. Chem. Eng. Data, 38, 414 (1993).
J. Rajasekar and P. R. Naidu, J. Chem. Eng. Data, 41, 373 (1996).
J. Rajasekhar and K. Sivakumar, Fluid Phase Equilib., 245, 149 (2006).
A. Vogel, J. Chem. Soc., 644 (1948).
R. McDonald, S. Shrader and D. Stull, J. Chem. Eng. Data, 4, 311 (1959).
B. T. Grayson and L. A. Fosbraey, Pestic. Sci., 13, 269 (1982).
K. Liu and R. M. Dickhut, Chemosphere, 29, 581 (1994).
C. F. Fisk and W. A. Noyes, J. Am. Chem. Soc., 58, 1707 (1936).
D. R. Stull, Ind. Eng. Chem., 39, 517 (1947).
R. R. Dreisbach and S. A. Shrader, Ind. Eng. Chem., 41, 2879 (1949).
M. Poledníček, T. Guetachew, J. Jose, V. Růžička, V. Roháč and M. Zábranský, ELDATA: The Int. Electron. J. Physico-Chemical Data, 2, 41 (1996).
V. Roháč, V. Růžička, K. Růžička and K. Aim, J. Chem. Eng. Data, 43, 770 (1998).
D. Mackay, W. Y. Shiu, K. C. Ma and S. C. Lee, Handbook of physical-chemical properties and environmental fate for organic chemicals: Volume I: Introduction and hydrocarbons, CRC Press, Boca Raton (2006).
S. P. Verevkin, V. N. Emel’yanenko, M. A. Varfolomeev, B. N. Solomonov, K. V. Zherikova and S. V. Melkhanova, J. Phys. Chem. B, 118, 14479 (2014).
R. Tanaka and G. C. Benson, J. Chem. Eng. Data, 24, 37 (1979).
M. Lipovská, H. G. Schmidt, V. Roháč, V. Růžička, G. Wolf and M. Zábranský, J. Therm. Anal. Calorim., 68, 753 (2002).
V. Roháč, V. Růžička, K. Růžička, M. Poledníček, K. Aim, J. Jose and M. Zábranský, Fluid Phase Equilib., 157, 121 (1999).
W. E. Acree, Thermochim. Acta, 189, 37 (1991).
D. Wei, Thermochim. Acta, 479, 32 (2008).
J. Timmermans, Bull. Soc. Chim. Belg., 44, 17 (1935).
J. Narbutt, Z. Elektrochem., 24, 339 (1918).
U. Domańska and T. M. Letcher, J. Chem. Thermodyn., 32, 1635 (2000).
J. R. Donnelly, L. A. Drewes, R. L. Johnson, W. D. Munslow, K. K. Knapp and G. W. Sovocool, Thermochim. Acta, 167, 155 (1990).
C. R. Witschonke, Anal. Chem., 26, 562 (1954).
P. Basařová and V. Svoboda, Fluid Phase Equilib., 68, 13 (1991).
R. M. Stephenson and S. Malanowski, Handbook of the thermodynamics of organic compounds, Elsevier, New York (1987).
Physical Property Data Bank. Appendix C.
R. Kalluru and K. Abburi, Fluid Phase Equilib., 40, 311 (1988).
G. Soave, Chem. Eng. Sci., 27, 1197 (1972).
D.-Y. Peng and D. B. Robinson, Ind. Eng. Chem., Fundam., 15, 59 (1976).
J. Gmehling, M. Kleiber, B. Kolbe and J. Rarey, Chemical thermodynamics for process simulation, 2nd ed., Wiley, New Jersey (2019).
A. Péneloux, E. Rauzy and R. Fréze, Fluid Phase Equilib., 8, 7 (1982).
F. Young, F. L. P. Pessoa and V. R. R. Ahón, Fluid Phase Equilib., 435, 73 (2017).
J.-C. Tsai and Y.-P. Chen, Fluid Phase Equilib., 145, 193 (1998).
C. H. Whitson and M. Brulé, Phase behavior, Henry L. Doherty Memorial Fund of AIME, Society of Petroleum Engineers, Richardson (2000).
M. S. Ding, K. Xu and T. R. Jow, J. Therm. Anal. Calorim., 62, 177 (2000).
Acknowledgements
This study was performed in the frame of theme «Chemical Thermodynamics and Theoretical Material Science».
Author information
Authors and Affiliations
Corresponding author
Additional information
Supporting Information
Additional information as noted in the text. This information is available via the Internet at http://www.springer.com/chemistry/journal/11814.
Rights and permissions
About this article
Cite this article
Samukov, K., Maksimov, A., Belova, E. et al. Phase equilibria and thermodynamic properties in the o-dichlorobenzene — m-dichlorobenzene system. Korean J. Chem. Eng. 39, 3412–3421 (2022). https://doi.org/10.1007/s11814-022-1291-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11814-022-1291-0