The liquid phase reaction between maleic anhydride and 1-methyl-furan leads to an exothermic cycloaddition. The reaction enthalpy, the rate constant and the equilibrium constant are evaluated with good precision by a method of analysis using thermal data and a dynamic model based on physical properties. The mathematical models that are presented here in a simple way (first-order system) represent the reaction accurately and are useful for studying other reactions and even industrial processes.