The carbon block test, like the borax bead test, are ancient methods of element qualitative analysis. I read about them as a grammar school student on my own, I never did them in high school or university -- and that was more than 20 years ago. You're not likely to find someone who does them much these days, and you're looking instead for specific knowledge on the chemistry behind the technique. That's asking a lot. Here's something you can try -- hit the university library for Paulings' Chemistry and for Feigel's Laboratory Manual of Spot Tests. They may have explanations, or references to the procedures that describe them better. Be prepared to search for century-old reference documents.