Which of the following will have greatest molar conductance at infinite dilution?

Options

A. `[Pt(NH_(3))_(5)CI]CI_(3)`
B. `[pt(NH_(3))_(4)CI_(2)]CI_(2)`
C. `[Pt(NH_(3))_(2)CI_(4)]`
D. `[Pt(NH_(3))_(6)]CI_(4)`

Answer

To determine which compound has the greatest molar conductance at infinite dilution, we need to analyze the dissociation of each compound into its constituent ions. Molar conductance is directly related to the number of ions produced when a compound dissociates in solution; more ions mean higher conductance.

### Step-by-Step Solution:

1. **Identify the Compounds**: We have four coordination compounds to analyze. Let's denote them as:
- Option 1: [Pt(NH3)5Cl]Cl2
- Option 2: [Pt(NH3)3Cl]Cl3
- Option 3: [Pt(NH3)6Cl]Cl4
- Option 4: [Pt(NH3)4Cl]Cl2

2. **Dissociation of Each Compound**:
- **Option 1: [Pt(NH3)5Cl]Cl2**
- Dissociates into: [Pt(NH3)5Cl]²⁺ + 2Cl⁻
- Total ions = 1 + 2 = 3 ions

- **Option 2: [Pt(NH3)3Cl]Cl3**
- Dissociates into: [Pt(NH3)3Cl]³⁺ + 3Cl⁻
- Total ions = 1 + 3 = 4 ions

- **Option 3: [Pt(NH3)6Cl]Cl4**
- Dissociates into: [Pt(NH3)6Cl]⁴⁺ + 4Cl⁻
- Total ions = 1 + 4 = 5 ions

- **Option 4: [Pt(NH3)4Cl]Cl2**
- Dissociates into: [Pt(NH3)4Cl]²⁺ + 2Cl⁻
- Total ions = 1 + 2 = 3 ions

3. **Count the Total Ions**:
- Option 1: 3 ions
- Option 2: 4 ions
- Option 3: 5 ions
- Option 4: 3 ions

4. **Determine the Greatest Molar Conductance**:
- The compound with the highest number of ions produced upon dissociation will have the greatest molar conductance.
- From our calculations, **Option 3: [Pt(NH3)6Cl]Cl4**, which produces 5 ions, has the highest molar conductance at infinite dilution.

### Final Answer:
The compound with the greatest molar conductance at infinite dilution is **Option 3: [Pt(NH3)6Cl]Cl4**.