Abstract
A comprehensive new theory of osmotic pressure is mechanistically derived to be applicable to incompressible binary solutions of non-electrolytes independent of solute concentrations, membrane selectivity, solution ideality, and without recourse to adjustable parameters. The approach employed relies on Fick’s diffusion laws, and introduces the concept of uncoupled aggregate diffusion. The theory is verified using direct and indirect experimental data of sucrose solutions and then compared to conventional osmotic pressure laws. Direct consequences of the new theory entail novel a priori expressions for the activity, activity coefficient, and chemical potential of solvent. Applications to drug delivery and biomolecular separation nanotechnology are discussed.
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