How to Estimate the Constant Eps for Real Materials from Experimental C(T)?

[YAHA]

Homework Statement

I am working on a problem for my Thermal Physics course. In short, its a numerical problem. I had to go through some Excel calculations and end up with two columns of numbers. One, C/Nk, where C-heat capacity, k-boltzmann constant, N-number of particles and the other is kT/eps, where k-Boltzmann constant, T-temperature, eps-some unit of energy. I have sets of numbers in both of these columns, so I can plot C/Nk as a function of kT/eps.

Then, I am am given an experimentally measured C(T) for some real materials and asked to estimate(roughly) the constant eps for each of the materials. How do I go about this? Any hints? I have tried doing some numerical methods, but end up with a mess. There has to be some quick and simple way.

 

[DrClaude]

Assuming that only C depends on T, you can write
<br /> \frac{C}{Nk} = a \frac{k T}{\epsilon},<br />
where a is some proportionality constant. On your graph of C/Nk vs k T/\epsilon, find some point where you can find an approximate value for a (hint: the steeper the slope, the smaller the error).

Then, do the same for the experimental values, with \epsilon the unknown, instead of a.