The question asks about the product formed when copper sulfate (\( \text{CuSO}_4 \)) dissolves in excess of potassium cyanide (\( \text{KCN} \)). Let's understand the chemical reaction involved here to determine the correct product among the given options:
1. **Dissolution of Copper Sulphate in Potassium Cyanide:** When copper sulfate reacts with potassium cyanide, the \( \text{KCN} \) provides cyanide ions (\( \text{CN}^- \)).
2. **Formation of Initial Complex:** Initially, copper cyanide (\( \text{CuCN} \)) is formed:
\[\text{Cu}^{2+} + 2\text{CN}^- \rightarrow \text{CuCN} + \text{CN}^-\]
3. **Further Reaction in Excess Cyanide:** The formed \( \text{CuCN} \) further reacts with additional cyanide ions present in the excess of \( \text{KCN} \). Copper forms a stable complex ion, leading to the formation of tetracyanocuprate(II) complex:
\[\text{CuCN} + 3\text{CN}^- \rightarrow [\text{Cu(CN)}_4]^{3-}\]
4. **Correct Interpretation:** The complex \([\text{Cu(CN)}_4]^{3-}\) is a stable complex and is the final product when copper sulfate dissolves in excess potassium cyanide.
The correct answer is the complex ion [Cu(CN)_4]^{3-}. It is the only stable complex that forms in the presence of excess cyanide ions. Let's justify why other options are incorrect:
Thus, the correct answer is [Cu(CN)_4]^{3-}.