In order to enrich the thermokinetic research methods and enlarge the applicable range of the thermokinetic time-parameter
method, the integral and differential thermokinetic equations of consecutive first-order reaction have been deduced, and the
mathematical models of the time-parameter method for consecutive first-order reactions have been proposed in this paper. The
rate constants of two steps can be calculated from the same thermoanalytical curve measured in a batch conduction calorimeter
simultaneously with this method. The thermokinetics of saponifications of diester in aqueoushanol solvent has been studied.
The experimental results indicate that the time-parameter method for the consecutive first-order reaction is correct.