Abstract: A gas mixture comprising carbon dioxide, at least one gas having a lower boiling point than carbon dioxide, and at least one gaseous impurity having a higher boiling point than carbon dioxide (the impurity typically being hydrogen sulphide) is purified by a rectification process. The gas mixture (typically with a carbon dioxide partial pressure of 20 atmospheres) is precooled to the dewpoint of the carbon dioxide or below and is then rectified to form a liquid fraction relatively rich in the impurity or impurities and a product gaseous fraction relatively lean in or free from the gaseous impurity or impurities. The liquid fraction may be subjected to a second rectification to yield pure carbon dioxide.