We study the K * meson dissociation in heavy ion collisions during the hadron gas phase. We use the production and absorption cross sections of the K * and K mesons in a hadron gas, which were calculated in a previous work. We compute the time evolution of the K * abundance and the K * /K ratio during the hadron gas phase of heavy ion collisions. Assuming a Bjorken type cooling and using an empirical relation between the freeze-out temperature and the central multiplicity density, we are able to write K * /K as a function of (dN/dη(η = 0)). The obtained function is in very good agreement with recent experimental data.