Barnes' shot from just inside the right point deflected in off Nikolai Khabibulin's outstretched right pad. Dallas won its second straight after ending a four-game losing streak with a 3-1 home win over Minnesota on Monday.
Dallas' Loui Eriksson scored a power-play goal in the first period, and Brenden Morrow added an empty-net goal with 17.5 seconds left.
Robert Lang had the lone goal on a power play for injury-depleted Chicago, which is 0-5-2 in its last seven games.
The struggling Blackhawks played without seven regulars: defensemen Brent Sopel (broken finger) and James Wisniewski (knee); and forwards Jonathan Toews (knee), Jason Williams (groin), Kevyn Adams (knee), Dave Bolland (broken finger) and Ben Eager (concussion).
Lang's power-play goal 6:09 in opened the scoring when he tipped Duncan Keith's low shot from the right point between Marty Turco's pads.
Eriksson's power-play goal with 1:33 left in the first period tied it at 1 and snapped an 0-for-24 Dallas drought with the advantage, spanning the Stars' six previous games. Following a failed Chicago clearing attempt, Niklas Hagman fed Eriksson, who cut to the net from right wing. His shot from a sharp angle deflected in off Khabibulin's skate.
Patrick Kane, the NHL's leading scorer among rookies, was awarded a penalty shot with 8:13 left in the second period after he stole the puck from Sergei Zubov at the Chicago blue line, then raced in on Turco while Zubov hooked him from behind.
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On the penalty shot, Kane deked Turco to the ice, but fired a backhand shot high and wide on the right side.
Khabibulin made several tough saves in the second, include a point-blank stop on Morrow during a Dallas power play with 1:24 left in the period. He finished with 27 saves.
Turco, who stopped 17 shots, made a close-in pad save on Chicago's Adam Burish 4:10 into the third. He then came up with a sprawling stick paddle save on Patrick Sharp's turnaround shot at 9:43.
Notes: Blackhawks D Jordan Hendry played in his first NHL game after being recalled from Rockford of the AHL earlier in the day. D Danny Richmond was assigned to Rockford. ... Dallas LW Jussi Jokinen missed his sixth game with a knee sprain and is out day-to-day. Also out for Dallas were RW Jere Lehtinen, who sat out his 25th game with an abdominal injury, and D Philippe Boucher, who missed his 17th due to shoulder surgery. Both Lehtinen and Boucher are out indefinitely.
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