Upon the filing of the plat and field notes as provided in RCW
79.36.550, the lands included within the right-of-way applied for shall be appraised as in the case of an application to purchase such lands, at the full market value thereof. Upon full payment of the appraised value of the lands the department shall issue to the applicant a certificate of right-of-way, and enter the same in the records in its office and thereafter any sale or lease by the state of the lands affected by such right-of-way shall be subject thereto.