A process for the conversion of sulphur dioxide contained in a feed gas to sulphur trioxide, comprising the steps of a) alternatingly providing a first feed gas containing a high concentration of sulphur dioxide and a second feed gas containing a low concentration of sulphur dioxide as a process gas, b) preheating the process gas by heat exchange with a heat exchange medium, c) reacting the process gas in the presence of a catalytically active material in a catalytic reaction zone, d) converting at least in part the sulphur dioxide of the process gas into sulphur trioxide contained in a product gas in the catalytic reaction zone, e) cooling the product gas by contact with a heat exchange medium, wherein a thermal buffer zone is provided in relation to one of said process steps, providing thermal energy produced during super-autothermal operation for heating the process gas during sub-autothermal operation.