Each Governor shall designate one of the members of the council as chairman of such council. Any member of the council so designated shall serve as such chairman at the pleasure of the Governor designating him and until his successor has been designated. The chairman of the council shall be its presiding officer.
Any vacancies in the membership of said council occurring other than by expiration of term shall be filled in the same manner as the original appointment but for the unexpired term only. Any member of the council may be removed from office by the Governor, for cause, upon notice and opportunity to be heard.
The members of the council shall serve without compensation but shall be reimbursed for necessary expenses incurred in the performance of their duties.
No person who has been appointed a member of the council for two successive terms, including an unexpired term, shall again be eligible for that office for four years next following the expiration of his second successive term.