Question:
Your point does violate the known laws of thermodynamics and conservation ofenergy. If you had a heat engine and pump without any losses at all- thebest you could do is to have it run itself with nothing left over to doanything else. That is- you could spend a lot of money to have somethingthat does nothing worth while. If you have losses as all real devices willhave, all that will happen is that the device will need a net input ofenergy from some other source in order to do nothing worth while. Look atthe thermodynamics of heat pumps/engines.This approach to "perpetual motion " is not new- nor is it's failure toperform.

Answer: sorrythere is no violation of any law of thermodynamics in the above example.Heat pump uses 1 kWh of energy and generates 3kWh of energy.More energy is generated than used.Otherwise, what would be a sense to install heatpump ?But heatpump doesn't generate extra heat energy, it only transfers heatebnegy from one medium to another.But give up heatpump.I would like to build now "heat fuel cell membrane" like in reverseosmosis to have RO forced water flow to generate electrical energy.To avoid contaminating a membrane I would prefer to use H2O + CO2 in onetank and H2O in another tank, seperated by RO membrane.

Idea is quite new, to combine "water fuel cell" with RO "remote osmosis"to force water flow through the membrane.To build water fuel cell membrane acting also as RO membrane may takesome timebut that approach is ok and has nothing to do with your supposedviolation of the laws of thermodynamics.

Thesis:If you have 2 different mediums, there exist (heatpump) fuel cellmembrane acting also as RO membrane to generate electrical energy.You can have water flow induced by convection, combining Stirlingengine, heatpump and water fuel cell combined into one device,generating free energy.