South Carolina Gov. Henry McMaster has named Darline Graham Nordone as her late brother Lindsey Graham’s temporary replacement in the U.S. Senate. Graham died at age 71 over the weekend. Nordone will serve the remaining months of his term, which ends in January. Senate Majority Leader John Thune says she will be sworn in Tuesday afternoon. A special election next month will determine the new Republican nominee for Graham’s seat. The open seat has sparked interest among South Carolina's conservatives. A special primary election is scheduled for August 11, with a runoff on August 25 if needed. The general election will take place on November 3.