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Calculating tau from measured time and temperature 
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#1
Mar1609, 08:09 PM

P: 1

so i have two data points. T1 = 64.68, t1 = 200.7 and T2 = 84.15, t2 = 243. I want to use this data to find the tau value of the exponential curve the data came from.
I was trying to use simultaneous equations but got stuck. Can anyone help me with this? 64.68 = Tf(1exp(200.7/Tau)) 84.15 = Tf(1exp(243/Tau)) I got to 19.47 = 84.15*(exp200.7/Tau)  64.68*(exp243/Tau) I want to get a value for Tau but i can't figure out how to simplify/remove the exponential terms. Any help is appreciated 


#2
Mar1709, 01:08 AM

P: 1,345

What are you trying to fit? A function of the form
[tex]f(t) = T_f(1  exp(\frac{t}{\tau}))[/tex] Your best bet it to evaluate it numerically, don't think it can be analytically solved... I get tau = 327.156 and Tf = 76.3792 


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