The magnetization plateaus and thermodynamic properties of the antiferromagnetic spin-5/2 chain system were studied by using Blume-Capel model. The system with crystal field interaction in the presence of an external magnetic field has been investigated by means of transfer matrix method. We have seen that the crystal field strongly affects magnetic plateau mechanism. Our simulation results demonstrate that the plateau becomes smoother when the value of the temperature is increased. We also found that the increase of the crystal field parameter leads to wider plateaus for each spin gap. From the analysis of the magnetic heat capacity of the spin-5/2 chain system, the value of heat capacity becomes constant at higher temperatures with the increase in the crystal field.