Observable rate of BBH mergers formed through CHE considering the detector sensitivity of O3, O4, and O5 for the LIGO detectors. The distribution of the rate is shown as a function of M_chirp and χ_eff. Data points indicate all observations made so far as reported in the current GW transient catalogs (GWTC-1, GWTC-2, and GWTC-3). For each observation, the median values of M_chirp and χ_eff are shown together with their 90% credible intervals.