Abstract
In this work, the isothermal vapor–liquid equilibrium (VLE) of trans-1,3,3,3-tetrafluoropropene (HFO-1234ze(E)) and 1,1,1,3,3-pentafluoropropane (HFC245fa) binary system, along with the saturated vapor pressures HFO-1234ze(E) and HFC-245fa, were measured by static-analytic apparatus. The VLE measurements of HFO-1234ze(E) + HFC-245fa binary system are performed at temperatures from (293.28 to 333.09) K, while the measurements for vapor pressures of HFO1234ze(E) and HFC-245fa were conducted in the temperature range of (263.08 to 363.01) K. The vapor pressures were correlated by the Peng-Robinson (PR) equation of state (EoS) associated with the Mathias-Copeman (MC) alpha function, and the VLE data were correlated to the PRMC-vdW model where the MC alpha function and the van der Waals (vdW) mixing rules were combined with the PR EoS. The experimental VLE data were compared with the predictive E-PPR78 model. The modeling results of the PRMC-vdW model had good agreement with the experimental VLE data, while the E-PPR78 model shows negative bias in the prediction of equilibrium pressures. The experimental VLE data were also compared with literature data for consistency checks. The two sets of VLE data were basically consistent, while a discrepancy was found when analyzing the relationship between binary interaction parameter kij and temperature.
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Abbreviations
- HFCs:
-
Hydrofluorocarbons
- VLE:
-
Vapor–liquid equilibrium
- HFOs:
-
Hydrofluoro-olefins
- vdW:
-
Van der Waals mixing rules
- PR:
-
Peng-Robinson equation of state
- MC:
-
Mathias-Copeman alpha function
- MRDP :
-
Average relative deviation of pressure
- MADy :
-
Average absolute deviation of vapor-composition
- HFC-245fa:
-
1,1,1,3,3-Pentafluoropropane
- HFO-1234ze(E):
-
Trans-1,3,3,3-tetrafluoropropene
- EoS:
-
Equation of state
- a :
-
Energy parameter of the equation of state
- b :
-
Covolume parameter of the equation of state
- GE :
-
Excess Gibbs energy
- q :
-
Coefficient of MHV2 mixing rule
- N :
-
Number of data points
- p :
-
Pressure (MPa)
- R :
-
Molar gas constant (8.314472 J·mol−1·K−1)
- T :
-
Temperature (K)
- u :
-
Combined uncertainty
- U :
-
Expanded uncertainty
- x :
-
Liquid phase mole fraction
- y :
-
Vapor phase mole fraction
- n :
-
Molar mass
- m1, 2, 3 :
-
Adjustable parameters
- k ij :
-
Binary interaction parameter
- OF:
-
Objective function
- α :
-
Temperature-dependent alpha function
- τ :
-
Dimensionless interaction parameters
- δ :
-
Relative deviation
- Δ :
-
Absolute deviation
- ω:
-
Acentric factor
- i, j:
-
Molecular species
- c:
-
Critical property
- exp:
-
Experimental
- cal:
-
Calculated
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Acknowledgements
This work was supported by the open fund from the Key Laboratory of Sulfur Hexafluoride of China Southern Power Grid Co., Ltd. (No. GDDKY2021KF04) and the National Science Foundation of China (No.51976164)
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NT and ZY wrote the main manuscript text; XT and DS performed the measurement. ZY modeled the results and WG prepared the Tables and Figures. All authors reviewed the manuscript.
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Tang, N., Gu, W., Sun, D. et al. Isothermal Vapor–Liquid Equilibrium for the Binary System of Trans-1,3,3,3-tetrafluoropropene and 1,1,1,3,3-Pentafluoropropane. Int J Thermophys 44, 117 (2023). https://doi.org/10.1007/s10765-023-03219-w
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DOI: https://doi.org/10.1007/s10765-023-03219-w