Pressure dependence of the heat capacity near the melting point in benzene

Abstract

The heat capacity C-p is calculated as a function of pressure at constant temperatures of 25, 40 and 51 degrees C for the solid and liquid phases of benzene near the melting point. For this calculation, the observed molar volume from the literature are used at various pressures for constant temperatures indicated through the thermodynamic relations in the solid and liquid phases of benzene near the melting point. Our calculated values of the difference in the heat capacity(C-p-C-v) decrease with increasing pressure at the constant temperatures studied which predict the observed behavior of benzene in the solid and liquid phases. This indicates that our method of calculating the heat capacity from the molar volume data is satisfactory at various pressures (at constant temperatures) near the melting point in benzene. The heat capacities of some other organic molecular crystals such as naphthalene, anthracene etc. can also be calculated from the molar volume near their melting points.