A process for purifying water via freezing is disclosed. The process may include: contacting an aqueous mixture with a flotation medium, wherein the flotation medium has a density greater than or equal to the density of ice or hydrate and less than the density of the aqueous mixture or concentrated brine at its freezing point reducing the temperature of the aqueous mixture to a temperature equal to or below the freezing point of the aqueous mixture to form ice or hydrate and a concentrate phase separating the concentrate and the flotation medium recovering the concentrate and recovering the ice or hydrate and flotation medium as a slurry. Upon melting, phase separation of the resultant water from the flotation medium may provide a purified water product.