Mathematical Expression
A sophisticated sorption model describes the relationship between moisture content and water activity in complex food and packaging systems. The gab isotherm calculation uses three physical constants to extend the utility of simpler models across a wide range of relative humidity. It accounts for both the tightly bound monolayer and the loosely held multilayer of water molecules.
This equation is the standard for modeling the shelf life of moisture sensitive products.
Parameter Definition
Three distinct variables represent the monolayer capacity, the energy of interaction and the state of the bulk water. Executing a gab isotherm calculation requires experimental data from a range of vapor pressures at a constant temperature.
Storage Prediction
Packaging engineers use these mathematical results to determine the barrier requirements for a specific product life. An accurate gab isotherm calculation identifies the point where moisture uptake rapidly increases the rate of chemical or physical degradation. It allows for the comparison of different polymer films based on their ability to maintain the product within a safe hydration range.
The calculation fails to provide accurate results if the material undergoes a phase transition during the observation period. Reliable data from this model supports the design of desiccant systems for pharmaceutical packaging.