In the last eight games, Turgeon has scored six goals and assisted on four.
While Chicago's Alexei Zhamnov was in the penalty box for tripping, Scott Young skated behind the net, crossed the goal line and passed to Turgeon who was parked all alone about 10 feet on the right side of the net and fired in his 22nd goal for a 1-0 lead at 6:08.
Turgeon made it 2-0 when he got another pass from Young, who was in the right circle, skated right in front of goalie Joeclyn Thibault and flipped in his 23rd goal at 9:46.
With the two assists, Young has 16 points in his last 17 games (seven goals and nine assists).
It became 3-0 when Pascal Rheaume got a centering pass from Craig Conroy while skating in on goal and scored on a 10-foot shot at 14:10 of the first period.
The loss was the fourth straight for Thibault.
Ed Olczyk got the Blackhawks on the board with his sixth goal at 5:01 of the second period after picking up the puck in the slot and firing it into the right corner, past goalie Brent Johnson.
Johnson, who stopped 26 shots, was playing in his third game and it was his second straight start since being recalled from Worcester of the AHL on Feb. 14. His record is 2-0-0.
Over the last eight road games, the Blues are 7-1-0.
Chicago is 1-2-0 since Loren Molleken took over the coaching chores from Dirk Graham.
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