Proposed novel dynamic equations for direct determination of activation energy in non-isothermal isothermal systems

A new mathematical approach for the estimation of apparent activation energy is proposed for non-isothermal dynamic process in both weight loss and weight gain conditions and is tested in different organic and inorganic systems. Satisfactory agreement between the new approach and the classical Arrhenius equation is observed. The proposed equations are applicable to a particular change occurring at two specified reaction temperatures at a constant heating rate without recording the intermediate weight changes and the temperatures. The principal advantages of this model are that the knowledge of rate constant and the graphical work are not necessary for the determination of activation energy. Moreover, the order of the reaction course is the one which yields maximum value of activation energy. Direct determination feature further simplifies the new approach and is considered as a pragmatic achievement in academic and technological fields.