(a) All income derived from the administration of any such property shall be deposited into a separate account appropriately designated and shall inure to the benefit of and be used solely for the institution for whose benefit the conveyance shall have been made.
(b) Income derived from any such property shall not be charged against any appropriation which, except for a conveyance to the State of Arkansas, would otherwise have been made for the institution for whose benefit the conveyance shall have been made.