Integrated steam heating in polyester production process

Integrated processes for making polyesters are disclosed, that include the steps of: (a) producing an aromatic polycarboxylic acid in a monomer production facility; (b) producing a polyester in a polyester production facility, wherein the producing of the polyester comprises the substeps of: (i) forming a polyester reaction medium comprising at least a portion of the aromatic polycarboxylic acid from the monomer production facility, (ii) subjecting at least a portion of the polyester reaction medium to one or more chemical reactions to thereby produce the polyester, (iii) heating the polyester reaction medium at one or more locations in the polyester production facility via indirect heat exchange with high-pressure steam, wherein the heating causes at least a portion of the high-pressure steam to condense and thereby provide pressurized condensed water, and (iv) flashing at least a portion of the pressurized condensed water to thereby produce lower-pressure steam; and (c) using at least a portion of the lower-pressure steam to provide thermal energy to the monomer production facility.