Kan. Stat. § 19-1597
The resolution herein referred to, to be unanimously adopted by the board of county commissioners of such counties shall be published for three (3) consecutive issues in the official county paper. Whereupon, the board of county commissioners of such counties may thereafter advertise for proposals for the erecting and equipping of such building or the purchasing and remodeling of an existing building and award contracts therefor in the manner now provided by law, and issue serial bonds of such county in payment thereof, payable in not more than ten (10) approximate equal annual installments and bearing interest at a rate of not to exceed five percent (5%); unless a petition in protest or opposition to the acquiring of a site for the erecting and equipping of such building, or the purchasing and remodeling of an existing building, signed by at least five hundred (500) qualified electors of such county, is filed with the county clerk of said county within thirty (30) days following the date of the last publication of the said resolution adopted by the board of county commissioners of any such counties.
In the event such petition of protest or opposition is filed, it shall be the duty of the board of county commissioners of such counties to submit the question of acquiring a site, if the same be necessary, and the erecting and equipping of a building or the purchasing and remodeling of an existing building to be used for the purposes provided for in this act and paying the cost thereof by the issuance of bonds, to the voters of such county at any special election called for such purpose, by the board of county commissioners of such counties or at any regular, primary or general election.
K.S.A. 19-1597