This work addresses the thermodynamics of quantum chromodynamics (QCD) matter. We study in detail the thermodynamics utilizing the hadron resonance gas model (HRG). The response of QCD matter to the magnetic field is additionally examined. The thermodynamics such as (pressure, number density, energy density, entropy, and magnetization) are determined taking the main concepts of the extensive statistics at zero and non-zero magnetic field, eB=0,0.2,0.3 GeV^2. The magnetic field affects the free energy by dividing it into a vacuum and thermal contributions. The vacuum contribution is represented by setting (T=0), while the thermal term at (T≠0). The extensive thermodynamics can emerge from the resonance hadron gas model which is incorporated in the present work. The results are obtained using QCD particle Data Group up to 10 GeV and confronted to the lattice results. Moreover, the effect of the magnetic field on QCD matter proved that QCD matter is a paramagnetic matter which exhibits a positive magnetization.
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