Think you are trying to cast a line out there and hope for something in return without understanding how or why adsense works.
People click on ads because of buyer's intent. People usually on FB are not there to buy, they are there to socialize and browse, waste time etc. The last thing on their mind is to click ads. Hence why you should probably invest your time and energy into some SEO which would be a better ROI, on buying intent words, not informational words/phrases. You've been around here for some time so I expect you to understand a chunk of what I'm saying.
Good luck.