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We study the QCD equation of state and the chiral condensate using the hadronresonance gas with repulsive mean-field interactions. We find that therepulsive interactions improve the agreement with the lattice results on thederivatives of the pressure with respect to the baryon chemical potential up toeighth order. From the temperature dependence of the chiral condensate weestimate the crossover temperature as a function of baryon chemical potential,$T_c(\mu_B)$. We find that the chiral crossover line starts to deviatesignificantly from the chemical freeze-out line already for $\mu_B>400$ MeV.Furthermore, we find that the chiral pseudo-critical line can be parameterizedas $T_c(\mu_B)/T_c(0)=1-\kappa_2 (\mu_B/T_c (0))^2-\kappa_4 (\mu_B/T_c (0))^4$with $\kappa_2=0.0150(2)$ and $\kappa_4=3.1(6) \cdot 10^{-5}$ which are inagreement with lattice QCD results for small values of $\mu_B$. For the firsttime we find a tiny but non-zero value of $\kappa_4$ in our study.

Chiral condensate and the Equation Of State at non-zero baryon density from hadron resonance gas model with repulsive mean-field