Process for obtaining a hydrofluoroalkane which is purified of organic impurities, according to which the hydrofluoroalkane containing organic impurities is subjected to at least one purification treatment chosen from (a) a treatment with chlorine in the presence of a initiator (b) a reaction with hydrogen fluoride (c) a distillation in which the purified hydrofluoroalkane is removed from the top of the distillation column or from the side (d) an extractive distillation (e) an adsorption onto a solid adsorbent (f) a reaction with a compound containing oxygen, and (g) a reaction with a compound containing oxygen and a gas-phase reaction with a reagent capable of reacting with at least some of the organic impurities, with the exception of a reaction with elemental chlorine.