Reaction Kinetics Parameter Estimation Workbook (Excel)
The Reaction Kinetics Parameter Estimation Workbook is an Excel-based computational tool designed to estimate kinetic parameters (e.g., rate constants, activation energies, reaction orders) from experimental reaction rate data using nonlinear regression, linearization techniques, and statistical goodness-of-fit analysis. It integrates numerical solvers (e.g., Solver add-in), data visualization, and uncertainty quantification to support model discrimination and parameter confidence interval estimation. The workbook serves as both an educational aid for students and a practical engineering tool for process chemists and reaction engineers.
📖 Overview
📑 Key Components
🎯 Applications
- ✓ Estimating activation energy and pre-exponential factor from temperature-dependent rate data
- ✓ Discriminating between alternative catalytic reaction mechanisms using experimental turnover frequency (TOF) data
- ✓ Scaling up laboratory kinetic models to pilot-plant reactor design specifications
📐 Key Formulas
Power-Law Rate Expression
r = k * [A]^α * [B]^β
Empirical rate law expressing reaction rate r as a function of concentrations of reactants A and B, with rate constant k and reaction orders α and β
Arrhenius Equation
k = A * exp(-Eₐ/(R*T))
Temperature dependence of the rate constant k, where A is the pre-exponential factor, Eₐ is activation energy, R is the universal gas constant, and T is absolute temperature
Sum of Squared Residuals (SSR)
SSR = Σ(yᵢ,obs - yᵢ,pred)²
Objective function minimized during parameter estimation to quantify discrepancy between observed (yᵢ,obs) and model-predicted (yᵢ,pred) values
Asymptotic Standard Error of Parameter
SE(θⱼ) = √[Cov(θ)ⱼⱼ]
Standard error for estimated parameter θⱼ derived from the diagonal element j of the parameter covariance matrix Cov(θ) = SSR_min * (JᵀJ)⁻¹