Martin Necas made it 1-0 at 3:36 of the first period when he backhanded the rebound of a shot by Brent Burns from the right point.
Jesper Fast made it 2-0 at 8:53 after a face-off win by Jordan Staal. Fast picked up the rebound in the right circle of a shot by Brett Pesce and his pass to Staal in front deflected into the net off the skate of Chicago defenseman Connor Murphy.
The Hurricanes outshot the Blackhawks 23-7 in the first period, the most shots it has had in a period this season, and 49-24 overall.
Chicago opened the second period on a power play and had a 5-on-3 advantage for 21 seconds when Fast was called for hooking at 1:20.
"I think we found our legs in the second period, and we were lucky that it was only 2-0," Richardson said. "I think the power play that started the second, we had a pretty good chance or two; we just missed a back door low. [Max] Domi's down-the-hatch shot, I think those were two pretty good chances 5-on-3, but the power play really didn't generate much after that on the 5-on-4s. We just came in too slow, and they're too good and strong with their sticks at the blue line, so that was kind of frustrating."
Jordan Martinook increased the lead to the 3-0 at 4:55 of the third period with a backhand off a scramble in front of the net.
"We tried to play fast, play in their end," Necas said. "I think the first period was really good. Then in the second, we didn't have much, but in the third, we were kind of back on track."