Notwithstanding the foregoing, where, by reason of exceptional narrowness, shallowness, or shape of a specific piece of property, or by reason of exceptional topographic conditions, or by reason of other extraordinary and exceptional situation or condition of such piece of property, or in the case of a corner lot, the strict application of the foregoing provisions respecting the location of the condensing unit, fan, circulator or water tower of a central air conditioner would result in peculiar and exceptional practical difficulties to the owner of such property, then, upon application to and approval by the Mayor and Council, the Building Inspector may be authorized to issue a permit for the location of the same at a place other than as herein specified, provided the Council is satisfied that such alternative location will not substantially impair the intent and purpose of this chapter and will not result in loud, offensive or unnecessary noise to the occupants of any adjoining dwelling or structure.