Questions are regularly asked about Turnover frequency (TOF) and Turnover Number (TON) for catalysts. It's worth having a look at some other answers on this site - for example: https://www.researchgate.net/post/How_the_turn-over_number_TON_and_turn-over_frequency_TOF_being_used_to_evaluate_and_compare_different_catalysts_on_the_same_reaction - and the links to other answers contained in this thread.
Concerning metal dispersion, several techniques are available. The most common ones for noble metals are H2 chemisorption, H2-O2 titration and CO adsorption followed by FTIR. H2-TPR is not recommended because one measures the amount of H2 necessary to reduce the metal which is not equivalent to the number of exposed metal sites.
The choice of the technique depends on the metal, as the interaction with the probe molecule will change. You can find some guidelines in the papers below:
https://dx.doi.org/10.1016/0021-9517(78)90357-3
http://dx.doi.org/10.1039/9781847553232-00093
You can also find an example for Pt/zeolite catalyst characterization here:
Article Hydrogenating activity of Pt/zeolite catalysts focusing acid...