The processes of dissolution and hydrate formation behind the shock wave in water with carbonic-acid bubbles at various initial static pressures were investigated. The surface-active substances (SAS) effect on the processes of dissolution and hydrate formation in the medium was also investigated. The bubbles were considered to be crushed in the wave front into small gas inclusions, which form gas-liquid clusters, and the the liquid was considered with gas bubbles in which the one-dimensional step-profile shock wave is propagated. The SAS addition in liquid is found to reduce the surface tension that should result in gas bubble fragmentation behind the wave on smaller gas inclusions for other equal parameters. The comparison of the experimental gas-content profiles with calculated curves show that the proposed theoretical model describes reasonably well the joint process of dissolution and hydrate formation of gas behind the shock-wave front in the gas-liquid medium.