The correct IUPAC name of `K_(2)[Zn(OH)_(4)]` is

Options

A. potassium tetrahydroxyzinc(II)
B. potassium tetrahydroxozincate(II)
C. potassium tetrahydroxizincate(IV)
D. potassium hydroxozinc(II)

Explanation

To determine the correct IUPAC name of the coordination compound \( K_2[Zn(OH)_4] \), we will follow the systematic naming rules for coordination compounds. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Cation and Anion
The compound \( K_2[Zn(OH)_4] \) consists of:
- Cation: \( K^+ \) (potassium)
- Anion: \( [Zn(OH)_4]^{2-} \)

### Step 2: Name the Cation
The cation is potassium, and since there are two potassium ions, we simply write "potassium" in the name.

### Step 3: Identify the Ligands
The anionic part \( [Zn(OH)_4]^{2-} \) contains hydroxide ions (OH\(^-\)). Hydroxide is a negatively charged ligand, and since there are four hydroxide ligands, we use the prefix "tetra-" to indicate the number of ligands.

### Step 4: Name the Ligands
The ligand derived from hydroxide is called "hydroxo." Since there are four hydroxide ligands, we write "tetrahydroxo."

### Step 5: Name the Central Metal
The central metal ion is zinc. Since it is part of an anionic complex, we modify the name of zinc to "zincate."

### Step 6: Determine the Oxidation State of the Metal
To find the oxidation state of zinc in the complex, we can set up the following equation based on the charges:
- Let the oxidation state of zinc be \( x \).
- The total charge contributed by the four hydroxide ligands is \( -4 \) (since each hydroxide has a charge of -1).
- The overall charge of the anionic complex is \( -2 \).

Thus, we have:
\[ x - 4 = -2 \]
Solving for \( x \):
\[ x = +2 \]

### Step 7: Combine All Parts
Now we can combine all parts to form the complete name:
- Cation: potassium
- Ligands: tetrahydroxo
- Central metal: zincate
- Oxidation state: (II)

Putting it all together, the IUPAC name is:
**Potassium tetrahydroxozincate(II)**

### Final Answer
The correct IUPAC name of \( K_2[Zn(OH)_4] \) is **Potassium tetrahydroxozincate(II)**.

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