Determination of kinetic parameters for both reversible and irreversible first-order reactions

Two methods of calculating the rate constant(s) and the total amount of final product for both irreversible and reversible first-order reactions have been developed. These methods are based on the analytical solution (for a special case) of the system of transcendental equations, which describe the reaction kinetics. The methods are simpler and more convenient to use than the earlier proposed graphic methods of Guggengeim and Kezdy-Swinbourne.