# Heat of adsorption from fugacity data

I have a set of data relating the fugacity ($\approx$ pressure) to the loading for a given set of temperatures. There are three temperature sets each having five fugacity vs. loading points.

The heat of adsorption is given by:

$$\Delta H=\frac{\mathrm{d}\bigl[\ln\frac{P}{Po}\bigr]}{\mathrm{d}\bigl[\frac{1}{T}\bigr]}$$

for fixed loading. How would I transform this relationship given that I can calculate $H$?

Note, that any practical way to get $H$ from my data would be appreciated - I tried fitting loading to $P$ with a linear function but that failed miserably. (In retrospect this is obvious if you work out the above equation.)

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I'm a bit confused by your wording: are you saying you can already calculate $H$, and you would like to use this equation to get one of the other quantities? Or are you trying to use this equation to calculate $\Delta H$? – David Z Apr 11 '13 at 17:51
I want $\Delta H$, but the equation above requires constant loading, which I don't have. Instead I have the loading as a function of T and P. The information of $\Delta H$ should be within my data, but I don't know how to extract it. – Lenzuola Apr 11 '13 at 19:38