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2.6 mol HCl

Explanation:

Step 1: Write the balanced equation

2 KMnO₄ + 8 HCl ⇒ 3 Cl₂ + 2 MnO₂ + 4 H₂O + 2 KCl

Step 2: Calculate the number of moles of hydrochloric acid needed to react with 0.64 moles of potassium permanganate.

According to the balanced equation, the molar ratio of KMnO₄ to HCl is 2:8.

0.64 mol KMnO₄ × 8 mol HCl/2 mol KMnO₄ = 2.6 mol HCl

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the dissolution of polymer can be thermodynamically described in 2 steps.