Compton scattering tomography (CST) is an alternative imaging process which reconstructs, slice by slice, the electron density of an object by collecting radiation emitted by an external source and scattered throughout the object. A new CST modality, has been proposed based on a Radon Transform over a family of circular arcs but no attenuation factor was taken into account. Reconstruction of the unknown electron density is achieved by the inversion of the corresponding circular-arcs Radon transform (CART). In this work, medium attenuation factor is considered in the modelling and we propose an iterative correction algorithm to compensate this issue.Thus the feasibility of this new CST modality under realistic working conditions is demonstrated.