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[2] ai.viXra.org:2509.0021 [pdf] submitted on 2025-09-09 23:26:13
Authors: Weigang Li
Comments: 4 Pages.
This paper examines a theoretical construct and experimental results for a system purportedly capable of functioning as a perpetual motion machine of the second kind by harnessing osmotic pressure.The setup involves a U-tube divided by two semipermeable membranes into three chambers. The central chamber is filled with a dilute sodium sulfate (or citric acid) solution, while the two side chambers are filled with pure water. An applied electrostatic field creates a difference in the molar concentration of impermeable ions near each membrane. According to the osmotic pressure formula Π = cRT, this concentration difference induces a corresponding difference in osmotic pressure, theoretically causing water influx (osmosis) at one membrane and outflow (reverse osmosis) at the other, thereby establishing a sustained water level difference. The energy for water molecule transport is derived from ambient thermal energy. By constructing a drainage channel between the side chambers, gravitational work can be continuously extracted as the system perpetually absorbs heat from the environment to re-establish the hydrostatic imbalance. This paper reports experimental progress since the initial 2017 report, including independent verification and an improved experimental design in 2024 that achieved a pure water level difference of 2.8 meters, effectively eliminating concerns about energy input from external sources. These findings challenge the prevailing chemical potential (free energy) theory of osmotic pressure and suggest the feasibility of a nearly 100% efficient heat-to-work conversion mechanism under specific nanoscale conditions. A persistent puzzle regarding the direction of the observed water flow, contrary to theoretical predictions, is presented for resolution.
Category: Thermodynamics and Energy
[1] ai.viXra.org:2509.0012 [pdf] submitted on 2025-09-06 22:01:28
Authors: Weigang Li
Comments: 4 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)
Osmotic pressure, traditionally described by van’t Hoff’s law (Π = icRT), exhibits a mathematical identity to the ideal gas law (P = nkT), yet its microscopic origin is often attributed abstractly to entropy or chemical potential gradients. Here, we propose a kinetic theory of osmotic pressure grounded in momentum transfer: impermeable solute particles undergoing Brownian motion collide with a semi-permeable membrane, reversing theirperpendicular momentum components and thereby generating a pressure that counteracts the solvent’s net flow. By rigorously modeling solute particles as ideal gas molecules constrained by the membrane, we derive van’t Hoff’s law from first principles, unifying it with the kinetic theory of gases. This approach demystifies the formal identity between osmotic and gas pressures, emphasizing the mechanical role of solute collisions in osmotic equilibrium.
Category: Thermodynamics and Energy