  We study the equation of state (EoS) of the hot and dense hadron gas by
incorporating the excluded volume corrections into the ideal hadron resonance
gas model (HRG). The total hadron mass spectrum of the model is the sum of
discrete mass spectrum consisting all the experimentally known hadrons and the
exponentially rising continuous Hagedorn states. We confront the EoS of the
model with lattice quantum chromodynamics (LQCD) results at finite baryon
chemical potential. We find that this modified HRG model reproduce the LQCD
results up to T = 160 MeV at zero as well as finite baryon chemical potential.
We further estimate the shear viscosity coefficient within ambit of this model
in the context of heavy-ion collision experiments.
