Author(s): H.Yurtseven* and AS.Karaku?
We calculate here the isothermal compressibility κTand the specific heat (CP -CV) per unit volume as a function of pressure at constant temperatures in the solid and melting zones of benzene. This calculation is performed using the experimental data for the thermal expansivity αp from the literature. The experimental data is analyzed using a power-law formula with the critical exponent γ for αp. The γ values indicate a second order transformation prior to melting.From the anomalous behavior of the thermodynamic quantities studied in the pressure range, a linear variation of (CP -CV)/V vs. αpand also αpvs. κT is obtained near the melting point in benzene. The slope value of dp/dT=13 MPa/K which we extract from linear plots, is the same as obtained experimentally.Our calculations can be examined with the experimental measurements under the given temperature and pressure conditions near the melting point in benzene