The heating of the X-ray gas by the radiogas in the cluster PKS 0745-191

Calculations of the energy evolution of relativistic particles in a cluster of galaxies are presented. The heating of the X-ray gas by the radio gas in the cluster PKS 0745-191 is derived using Chandra X-ray data and VLA radio data. It is found that the heating is not sufficient for the radiation loss of the X-ray gas if the lower limit of energy in the power-law spectrum of relativistic electrons is set at 0.001 erg.