## Description

In this paper, we investigate the thermodynamic properties of 3-flavor quark matter using the Poyakov-Nambu Jona-Lasinio (PNJL) Model. 3-flavor quark matter has been suggested to exist in the dense cores of proto-neutron stars and other hypothetical highly dense celestial objects such as hybrid and strange stars. Using a program written in FORTRAN 90, the equation of state (EoS) for such matter is calculated along with other thermodynamic quantities such as entropy density, chemical potential and dynamical quark masses. The temperature range investigated is between 0-100 MeV, while the systems baryon number density range is between 3ρ0-15ρ0, where ρ0 (=0.16 fm-3) is the saturation density of normal nuclear matter. The results obtained revealed a number of fairly linear relationships between the thermodynamic quantities and the baryon number density. On the other hand, such thermodynamic quantities revealed some type a polynomial-like relationship with respect to the temperature. Comparisons of the theoretical predictions between the PNJL and Nambu-Jona-Lasinio (NJL) model are also presented under the results section.