Add the mixture in water ammonium chloride is highly soluble in water while Barium sulphate is insoluble , filter the solution the residue(solid part) is Barium sulphate, evaporate the solution and get solid Ammonium chloride.
When the mixture is heated the Ammonium Chloride(NH4Cl) fumes get separated, leaving the Magnesium Sulfate(MgSO4) behind. Be careful Ammonium Chloride sublimes or sometimes decomposes into poisonous...
Ammonium Chloride sublimes when heated whereas Barium Sulfate does not. Another method would be to add de-ionized water to the mixture. The solids left over will be the Barium Sulfate whereas the the...
They are simply separated by Sublimation process , heat the mixture in an open container and put a large inverted funnel on container the Ammonium chloride becomes sublimed and its white crystals...