Reggie Hearn added 16 points, and all five starters scored in double figures for the Wildcats (15-8, 5-6 Big Ten) in an easy victory.
Northwestern built a nine-point halftime lead and then blew this one open, matching its longest conference winning streak since a three-game run late in the 2008-09 season.
Sobolewski passed his previous high by three points. Shurna set the tone in the early going, and the Wildcats shot just over 56 percent overall while hitting 13 of 25 3-pointers.
Aaron White led Iowa with 17 points and 12 rebounds, but the Hawkeyes (13-12, 5-7) were simply overmatched.