NOVELTY - The method involves mixing a pressurized basic solution stream with a saturated vapor stream to form a once-enriched stream. The once-enriched stream is pressurized to form a pressurized enriched stream, which is partially vaporized to form a partially vaporized enriched stream and a spent external heat source stream. The partially vaporized enriched stream is separated to form another saturated vapor stream and a lean liquid stream. The streams are derived from a multi-component working fluid, which may be a mixture of water and ammonia.    USE - Thermodynamic cycle implementing method for extracting useful energy, to be employed as mechanical or electrical energy, from low temperature sources, such as low temperature geothermal sources.    ADVANTAGE - The two-stage enrichment process subjected to the basic solution stream increases system overall efficiency. Mechanical and or electrical energy can be generated in efficient, cost-effective manner using low temperature heat source streams and a multi-component working fluid, such as an ammonia-water mixture.    DETAILED DESCRIPTION - The method involves mixing a pressurized basic solution stream with a once-saturated vapor stream, absorbed by the basic solution stream, to form a once-enriched stream. The once-enriched stream is pressurized to form a pressurized enriched stream, which is partially vaporized in a second heat exchange unit (HE2) using heat from a cooled external heat source stream to form a partially vaporized enriched stream and a spent external heat source stream. The partially vaporized enriched stream is separated in a first separator (S1) to form a third saturated vapor stream and a first lean liquid stream. The third saturated vapor stream is fully vaporized and superheated in a third heat exchange unit (HE3) to form a fully vaporized and superheated third saturated vapor stream. The pressure of the first lean liquid stream is reduced by a first throttle valve (TV1) to form a first reduced pressure mixed liquid-vapor stream, which is fed into a third separator (S3) to form the first saturated vapor stream and a third lean liquid stream. The pressure of the third lean liquid stream is reduced by a third throttle valve (TV3) to form a third reduced pressure mixed liquid-vapor stream. All streams are derived from a multi-component working fluid, which is a mixture of ammonia and water. An INDEPENDENT CLAIM is also included for an apparatus for implementing a thermodynamic cycle.    DESCRIPTION OF DRAWING(S) - The drawing shows the schematic diagram of a skid-mounted system.    Second heat exchange unit (HE2)    Third heat exchange unit (HE3)    First separator (S1)    Third separator (S3)    First throttle valve (TV1)    Third throttle valve (TV3)