The determination of reaction extent using fractions

The calculation of the kinetic and thermodynamic parameters that specifically describe the reaction 

This method of analysis can be applied to reactions of any order. The theory for the analysis is to calculate the kinetic, thermodynamic and mechanistic parameters that will describe the reaction. For example a mono molecular reaction (for simplicity) can be described by Equation (2). 

The enthalpy change at time t, (q) is equal to the quantity reacted at time t multiplied by the total enthalpy change for the reaction. Substitution for (x) in equation (2) gives Equation (4)  

The rate constant in Equation (4) is, in fad, dependent on volume. In the majority of publications concerning solution phase reactions, the rate constant is not corrected for volume and different results for different concentrations are obtained. A volume term can be added to Equation (4) to give Equation (5)  

In Equation (5), Q is the enthalpy change for the reaction and V is the volume of the solution. Integration of Equation (5) gives Equation (6) and shows the relationship between the calorimetric signal and time, for solution phase reactions. 

---