A gas turbine exhaust gas cooling system includes a conduit for a primary gas turbine exhaust gas extending from the primary gas turbine to an inlet of a desired industrial process apparatus, a work producing thermodynamic cycle in which a working fluid is heated and expanded, and at least one heat exchanger by which heat is sufficiently transferred from the primary gas turbine exhaust gas to the working fluid to produce a low temperature heating medium downstream of the heat exchanger at a predetermined temperature and energy level which are sufficient for effecting a desired industrial process.