The balanced reaction between aqueous potassium hydroxide and aqueous acetic acid is
koh (aq) + hc₂h₃o₂ (aq) → kc₂h₃o₃ (aq) + h₂ (g) koh (aq) + hc₂h₃o₂ (aq) → h₂kc₂h₃o (aq) + o₂ (g) koh (aq) + hc₂h₃o₂ (aq) → h₂c₂h₃o₃ (aq) + k (s) koh (aq) + hc₂h₃o₂ (aq) → h₂o (l) + kc₂h₃o₂ (aq) koh (aq) + hc₂h₃o₂ (aq) → oh⁻ (l) + hc₂h₃o₂⁺ (aq) + k (s)

The answer to your question is: letter D.

Explanation:

This is a neutralization reaction. In this kind of reactions, one acid and one base reacts  to produce one salt and water.

a) KOH (aq) + HC₂H₃O₂ (aq) → KC₂H₃O₃ (aq) + H₂ (g) This option is incorrect because one of the products must be water.

b) KOH (aq) + HC₂H₃O₂ (aq) → H₂KC₂H₃O (aq) + O₂ (g) This option is incorrect, oxygen is not a product.

c) KOH (aq) + HC₂H₃O₂ (aq) → H₂C₂H₃O₃ (aq) + K (s)  This option is incorrect, potassium is not a product.

d) KOH (aq) + HC₂H₃O₂ (aq) → H₂O (l) + KC₂H₃O₂ (aq) This option is the correct one.

e) KOH (aq) + HC₂H₃O₂ (aq) → OH⁻ (l) + HC₂H₃O₂⁺ (aq) + K (s) This option is incorrect, potassium and hydroxide are not products.

i believe the answer is true.