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

[hakimaguedal]

Dear Rahmat,
Thank you for all your videos. I'm asking what kind of error or formula that you've used between the experimental data and modeled ones ?

[nimahosseini]

Dear Rahmat,
Thank you for your helpful videos which are really great for me and my studies. They show that you are a real expert in the field of MATLAB and Adsorption process. I have a question. can you comment your email address so that I can reach you?