The British number one romped to a 6-2, 6-3 win over Zheng.
Konta’s victory over Williams was the shock of the first round.
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And she proved it wasn’t a fluke as she dominated Zheng from start to finish.
Konta wrapped up the first set in 37 minutes.
Her relentless groundstrokes proved too much for Zheng to handle and sealed the match on her service game.
Konta will now face either Sabine Lisicki or Denisa Allertova in the third round.