The correct representation for solubility product of `SnS_(2)` , is

Options

A. `[Sn^(4+)][S^(2-)]^(2)`
B. `[Sn^(4+)][S^(2-)]`
C. `[Sn^(4+)][2S^(2)]`
D. `[Sn^(4+)][2S^(2)]^(2)`

Answer

To find the correct representation for the solubility product (Ksp) of SnS₂, we need to follow these steps:

### Step 1: Understand the Dissociation Reaction
The first step is to write the dissociation reaction of SnS₂ when it dissolves in water:
\[ \text{SnS}_2 (s) \rightleftharpoons \text{Sn}^{4+} (aq) + 2 \text{S}^{2-} (aq) \]

### Step 2: Identify the Ions Produced
From the dissociation reaction, we see that one formula unit of SnS₂ produces:
- 1 ion of Sn⁴⁺
- 2 ions of S²⁻

### Step 3: Write the Expression for Solubility Product (Ksp)
The solubility product expression (Ksp) is defined as the product of the concentrations of the ions, each raised to the power of their coefficients in the balanced equation:
\[ K_{sp} = [\text{Sn}^{4+}][\text{S}^{2-}]^2 \]

### Step 4: Compare with Given Options
Now we can compare this expression with the provided options:
1. \([\text{Sn}^{4+}][\text{S}^{2-}]^2\)
2. \([\text{Sn}^{4+}][\text{S}^{2-}]\)
3. \([\text{Sn}^{4+}][2\text{S}]^2\)
4. \([\text{Sn}^{4+}][2\text{S}]^2\)

From our derived expression, the correct representation for the solubility product of SnS₂ is:
\[ K_{sp} = [\text{Sn}^{4+}][\text{S}^{2-}]^2 \]

### Conclusion
Thus, the correct answer is the first option:
\[ K_{sp} = [\text{Sn}^{4+}][\text{S}^{2-}]^2 \]

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