Calculation of the C-P-C-V as a function of temperature close to the melting point in benzene

Abstract

The temperature dependence of the C-P - C-V is calculated at constant pressures using the observed volume data from the literature for solid and liquid benzene near the melting point. Our calculated values are compared with some earlier treatments and we find that they disagree at constant pressures for the solid benzene, whereas for the liquid benzene agreement is reasonable in terms of the order of magnitude between our calculated C-P - C-V and those predicted from the Peng-Robinson equation of state. Our calculated C-P also agrees with the experimental data at normal pressure and has lower values at higher pressures in liquid benzene. Our treatment given here indicates that the C-P - C-V and the heat capacity C-P can be calculated from the molar volume as a function of temperature at constant pressures using the thermodynamic relations for the solid and liquid benzene near the melting point.