1. Dissolution: Add water to the mixture. Sugar and BaCO3 will dissolve in water, while diamond powder will remain insoluble.
2. Filtration: Filter the mixture to separate the diamond powder from the sugar and BaCO3 solution.
3. Evaporation: Heat the sugar and BaCO3 solution until all the water evaporates. This will leave behind a solid mixture of sugar and BaCO3.
4. Sublimation: Place the sugar and BaCO3 mixture in a sublimation apparatus. Heat the apparatus to a temperature at which BaCO3 sublimes (around 800°C). The BaCO3 will vaporize and condense on a cool surface, leaving behind the sugar.
The separated components can then be collected and used for various purposes.