Essay for a specific school

Should my general common app essay be targeted to the school I am applying to? (Is it okay to name the name of the school in my essay?) or should it just be “general”? Obviously if the name of the school is in the essay then I will only be sending that version of common app to that specific school only, but is this an appropriate thing to do?

It should be general, just to be safe I think. If your school has a supplement, then that would be perfectly fine.