A process for manufacture of hydrofluoroalkanesulfonic acid with at least one hydrogen bonded to the carbon atom adjacent to the carbon atom bonded to the sulfonic acid group comprising: contacting a fluoroolefin with sulfite in an aqueous solution adjusted to about pH 4 to pH 12; removing water from the solution to form a solid; directly treating the solid with oleum; and distilling the hydrofluoroalkanesulfonic acid therefrom. Also a process for manufacture of potassium hydrofluoroalkanesulfonate in high purity is described.