The invention relates to a process for the treatment of waste water, especially from flue gas desulphurisation, in which the waste water is neutralised (2) and solids are removed (7) and subsequently heavy metals present in the waste water are precipitated (22), with water being removed from the sludges of solids and heavy metals (17,36) and the filtrate being recycled, while the treated waste water is conditioned and cooled. In order for heavy metals to be produced separately and in a form of maximum purity, the waste water ought to be subjected to a flotation (7) to remove solids and be neutralised.
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