If I give my 30 day notice mid month do I have to pay the full amount of rent for the following month in Tennessee? Example: July 13-August 13 Prorate?

It depends on the real estate lease terms.  Absent a specific clause stating that leases may be pro-rated, it would be up to the landlord to decide if he/she would accept a pro-rated months rent.  This  assumes that the lease duration was month-to-month. This is not intended to be legal advice, and is general in its nature. No attorney-client relationship exists or is formed by this information. Furthermore, this does not represent the views or opinions of LexisNexis or its affiliated companies.