Predicting isosteric heats for gas adsorption

A method for predicting the isosteric heat of gas adsorption on solid materials is developed which requires the measurement of a single isotherm – where previous methods, such as the Clausius–Clapeyron approach, require either multiple isotherms or complex calorimetric measurement. The Tóth potential function, stemming from the Polanyi potential function, is evaluated using the Langmuir and Tóth isotherm equations to generate new equations for the isosteric heat. These new isosteric heat equations share common parameters with the isotherm equations and are determined from isotherm fitting. This method is demonstrated in the literature for gas adsorption onto solid adsorbates including zeolites of various surface charge character and non-porous rutile phase titanium dioxide. Predictions are made using the new isosteric heat equations and then compared to calorimetric data.