We have computed the isospin and spin averaged cross sections of the processes πK Ã → ρK and ρK Ã → πK, which are crucial in the determination of the abundances of K Ã and K in heavy ion collisions. Improving previous calculations, we have considered several mechanisms which were missing, such as the exchange of axial and vector resonances (K 1 ð1270Þ, K Ã 2 ð1430Þ, h 1 ð1170Þ, etc…) and also other processes such as πK Ã → ωK; ϕK and ωK Ã ; ϕK Ã → πK. We find that some of these mechanisms give important contributions to the cross section.