Non linear curve fitting using MATLAB and Excel

The mechanism of polymer degradation reaction kinetics is suspected to follow Avrami or random nucleation reaction, 𝑓(𝛼)=𝐴 ((𝑇−𝑇_0 ))/𝑏 exp⁡((−𝐸)/𝑅𝑇) Where 𝑓(𝛼)=−ln⁡(1−𝛼), T is the absolute temperature (K), b is the heating rate in K/min, A is the frequency factor with units of rate constant, R is the gas constant (8.314 kJ/kmol-K) and T0 is the activation temperature. Given that T0 = 338.75 K, b = 10 K/min, 𝛼, at different temperature are as given in table. Use the method of least squares to determine the values of A and E. T =[360 370 380 390 400 410 420 430 440] alfa (conversion) = [0.1055 0.2010 0.3425 0.5146 0.6757 0.8026 0.8924 0.9544 0.9902] #curvefitting #matlab #solver