A process in which a saturated brine is cooled by direct contact with a volatile organic liquid is analyzed. The process is used to affect crystallization by cooling of the brine, and to produce power by vaporization of the organic working fluid. The present analysis is conducted for a brine of magnesium chloride, and for two organic fluids, pentane and butane, in a multi-staged system. The analysis focuses on the power production, and the effect of the number of stages. The specific power output steeply increases with the second stage added to the one-staged system. Then the increments become gradually smaller as the number of stages is increased. The output levels off as the tenth stage is approached.