A method, system, and apparatuses for simultaneous heat and mass transfer utilizing a carrier-gas at various absolute pressures are described. A method may include: thermally coupling at least two continuous contacting apparatuses together; varying the pressure between the at least two continuous contacting apparatuses; allowing heat removed from the first continuous contacting apparatus to be the heat delivered to the second continuous contacting apparatus. A system may include: at least two continuous contacting apparatuses thermally coupled together and operating at different absolute pressures. A continuous contacting apparatus may include: an evaporation chamber and a dew-formation chamber both operating at an absolute pressure in a vacuum range. A continuous contacting vapor recompression apparatus may include: an evaporation chamber operating at a first absolute pressure; and a dew-formation chamber operating at a second absolute pressure higher than the first absolute pressure.