^{1,a)}, A. Hüseynov

^{2}and B. İbrahimoğlu

^{3}

### Abstract

This work is mainly an investigation of some of the liquid-to-solidproperties of pure benzene on a restricted domain of high pressures. Newly obtained equilibrium experimental data and recently developed analytical equation of state are exploited and compared with each other and with previous experimental data. Curves fitted to the pressure, volume discontinuity, and enthalpy change at liquid-to-solid equilibrium points are provided. Concerning the metastable liquid benzene, both experimental and theoretical data for the minimum nucleation temperatures (limits of liquid metastability) are provided and correlated to each other.

One of us (M.A.-A.) thanks Yokozeki for sending reprints. A part of this work was carried out while one of the authors (A.H.) was at the Engineering Faculty, Başkent University.

I. INTRODUCTION

II. LIQUID-TO-SOLIDTRANSITION RESULTS

III. METASTABILITY RESULTS

IV. CONCLUSION

### Key Topics

- Solid liquid phase transitions
- 9.0
- High pressure
- 7.0
- Nucleation
- 6.0
- Solidification
- 5.0
- Enthalpy
- 4.0

## Figures

Diagram of the installation used in this work. 6: regulator, 11: carving cover, 13: electric engine, 16: counterweight, 18: mercury, and 19: lubricant. The other elements are described in the text.

Diagram of the installation used in this work. 6: regulator, 11: carving cover, 13: electric engine, 16: counterweight, 18: mercury, and 19: lubricant. The other elements are described in the text.

diagram of liquid-to-solid equilibrium of benzene. Solid line: plot of the curve of Eq. (9) representing the data. The upper diagram compares our work with theory: “o” signs: data site shown in Table I, “∗” signs: equilibrium data obtained upon solving Eqs. (7) and (8) with our data used as parameters. The lower diagram compares our work with previous data: “×” signs: previous data (Ref. 11), “+” signs: previous data (Ref. 8), “◇” signs: previous data (Ref. 2).

diagram of liquid-to-solid equilibrium of benzene. Solid line: plot of the curve of Eq. (9) representing the data. The upper diagram compares our work with theory: “o” signs: data site shown in Table I, “∗” signs: equilibrium data obtained upon solving Eqs. (7) and (8) with our data used as parameters. The lower diagram compares our work with previous data: “×” signs: previous data (Ref. 11), “+” signs: previous data (Ref. 8), “◇” signs: previous data (Ref. 2).

Molar volume discontinuity as function of temperature. “o” signs: data sites obtained upon solving Eqs. (7) and (8) with our data used as parameters. Solid line: plot of the line of Eq. (11) fitted to the data sites. “+” signs: previous data (Ref. 8).

Molar volume discontinuity as function of temperature. “o” signs: data sites obtained upon solving Eqs. (7) and (8) with our data used as parameters. Solid line: plot of the line of Eq. (11) fitted to the data sites. “+” signs: previous data (Ref. 8).

Molar enthalpy change of solidification as function of temperature. “o” signs: data sites for the enthalpy change corresponding to our data shown in Table I. Solid line: plot of the cubic curve of Eq. (13) fitted to the data sites.

Molar enthalpy change of solidification as function of temperature. “o” signs: data sites for the enthalpy change corresponding to our data shown in Table I. Solid line: plot of the cubic curve of Eq. (13) fitted to the data sites.

A diagram of the isobar which is the curve . The vertical line sets a limit between the liquid and solid regions and the horizontal line is the liquid-to-solid transition line. Curve extends continuously and naturally the liquid properties and intersects the line at where , which is taken as the theoretical limit of liquid metastability. See text.

A diagram of the isobar which is the curve . The vertical line sets a limit between the liquid and solid regions and the horizontal line is the liquid-to-solid transition line. Curve extends continuously and naturally the liquid properties and intersects the line at where , which is taken as the theoretical limit of liquid metastability. See text.

A diagram of the experimental (“o” signs) and theoretical (“∗” signs) limits of liquid metastability as functions of the liquid-to-solid solidification temperature . The solid and dashed lines are fitted to the experimental and theoretical limits of liquid metastability data, respectively.

A diagram of the experimental (“o” signs) and theoretical (“∗” signs) limits of liquid metastability as functions of the liquid-to-solid solidification temperature . The solid and dashed lines are fitted to the experimental and theoretical limits of liquid metastability data, respectively.

## Tables

Liquid-to-solid equilibrium observed data for benzene. Ten results out of the total number of runs performed are shown. Solidification pressure is in MPa and temperature in K.

Liquid-to-solid equilibrium observed data for benzene. Ten results out of the total number of runs performed are shown. Solidification pressure is in MPa and temperature in K.

Liquid-to-solid and limits of liquid metastability for benzene. and are the transition pressure and temperature. and are the experimental and theoretical limits of liquid metastability. is the pressure drop.

Liquid-to-solid and limits of liquid metastability for benzene. and are the transition pressure and temperature. and are the experimental and theoretical limits of liquid metastability. is the pressure drop.

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