NernstBrunner
The Nernst-Brunner equation is a foundational expression in dissolution kinetics that describes the rate at which a solid dissolves into a solvent. It links the dissolution rate to the surface area of the dissolving solid, the diffusion coefficient, and the driving force for dissolution, which is the difference between the solubility of the solute (Cs) and the bulk concentration (C). The equation is commonly written as dM/dt = k A (Cs − C), where M is the amount dissolved, A is the surface area, and k is a mass-transfer coefficient.
The mass-transfer coefficient k is often expressed as D/δ, with D the diffusion coefficient of the solute
Limitations of the Nernst-Brunner model include its assumption of a constant surface area, neglect of changes