– In the present study a method is developed to get and explore thermal properties of hot infinite nuclear matter in the phase of quark gluon plasma-gas. Two models (modified from MIT model to fit experimental data in nuclei collisions) are used as case studies. The models were introduced in the form of parametric polytropic equations of state for quark gluon plasma gas. The volumetric specific heat capacity at constant volume c_v, the adiabatic speed of sound c_s, and isentropic compressibility κ_s of the quark gluon plasma (QGP) have been calculated as continuous functions of total energy density. It is found that the speed of sound increases as the energy content of QGP increases, while c_v and κ_s shows physical behavior like dilute gases.