A process is disclosed for making CH2═CFCF3. The process involves contacting CH2ClCF2CF3 with H2 in a reaction zone in the presence of a catalyst including a catalytically effective amount of palladium supported on a support selected from chromium oxide, fluorinated chromium oxide, chromium fluoride, aluminum oxide, aluminum fluoride and/or fluorinated alumina, to produce CH2═CFCF3. The mole ratio of H2 to the CH2ClCF2CF3 fed to the reaction zone is between about 1:1 and about 4:1. Also disclosed is another process for making CH2═CFCF3 that involves (a) reacting CH2ClCF2CF3 with H2 in the presence of a catalytically effective amount of hydrogenation catalyst to form CH3CF2CF3; and (b) dehydrofluorinating CH3CF2CF3 from (a) to form CH2═CFCF3; and another process for making CH2═CFCF3 that involves (1) dehydrofluorinating CH2ClCF2CF3 in the presence of a catalytically effective amount of dehydrofluorination catalyst to form CHCl═CFCF3; and (2) hydrogenating CHCl═CFCF3 from (1) in the presence of a hydrogenation catalyst including a catalytically effective amount of palladium supported on a support selected from chromium oxide, fluorinated chromium oxide, chromium fluoride, aluminum oxide, aluminum fluoride and/or fluorinated alumina to form CH2═CFCF3. Also disclosed is a process for making CH2ClCF2CF5. This process involves reacting CH2ClF with CF2═CF2 in a reaction zone in the presence of a catalytically effective amount of an aluminum halide composition having a bulk formula of AlClxBryF3-x-y wherein the average value of x is 0 to 3, the average value of y is 0 to 3-x, provided that the average values of x and y are not both 0. Also disclosed is an azeotropic composition including CF3CF═CHCl and HF.