Abstract: An improved waste heat-recovery method, and an apparatus embodying the method, are disclosed. Briefly, the improvement relates to recovery of latent heat. An example of how the method improves waste-heat recovery in a conventional solvent-adsorption process is discussed. The conventional process includes introducing steam, which possesses latent heat, into an activated-carbon solvent-adsorption bed to recover solvent from the carbon. A solvent-laden desorbate vapor, which also possesses latent heat, is thereby produced. The desorbate vapor is condensable to an aqueous solvent-laden fluid. The improvement comprises providing a body of liquid water, which is at a temperature lower than the desorbate vapor temperature, and passing the solvent-laden desorbate vapor and the body of liquid water together in a heat-transfer relationship, i.e., preferably through a heat transfer means, to transfer desorbate vapor latent heat into the body of water thereby heating the water.