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Find out total number of compound (s) in which at least half of `Cl^(-)` are ionizable `CrCl_(3).6NH_(3), CrCl_(3).5NH_(3),CrCl_(3).4NH_(3),CrCl_(3).3NH_(3),PtCl_(4).6NH_(3),PtCl_(4).5NH_(3)`
.`PtCl_(4).4NH_(3),PtCl_(4).3NH_(3),PtCl_(4).2NH_(3)`

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The correct Answer is:
To find the total number of compounds in which at least half of the chloride ions (Cl^(-)) are ionizable, we will analyze each compound step by step. ### Step-by-Step Solution: 1. **Identify the Compounds:** The compounds given are: - CrCl₃·6NH₃ - CrCl₃·5NH₃ - CrCl₃·4NH₃ - CrCl₃·3NH₃ - PtCl₄·6NH₃ - PtCl₄·5NH₃ - PtCl₄·4NH₃ - PtCl₄·3NH₃ - PtCl₄·2NH₃ 2. **Analyze Each Compound:** - **CrCl₃·6NH₃:** - Structure: Cr(NH₃)₆Cl₃ - Ionizable Cl: 3 (all are ionizable) - Half of Cl: 1.5 - Result: More than half are ionizable. **(Count: 1)** - **CrCl₃·5NH₃:** - Structure: Cr(NH₃)₅Cl₂ - Ionizable Cl: 2 (2 out of 3 are ionizable) - Half of Cl: 1.5 - Result: More than half are ionizable. **(Count: 2)** - **CrCl₃·4NH₃:** - Structure: Cr(NH₃)₄Cl₂ - Ionizable Cl: 2 (2 out of 3 are ionizable) - Half of Cl: 1.5 - Result: More than half are ionizable. **(Count: 3)** - **CrCl₃·3NH₃:** - Structure: Cr(NH₃)₃Cl₃ - Ionizable Cl: 3 (all are ionizable) - Half of Cl: 1.5 - Result: More than half are ionizable. **(Count: 4)** - **PtCl₄·6NH₃:** - Structure: Pt(NH₃)₆Cl₄ - Ionizable Cl: 4 (all are ionizable) - Half of Cl: 2 - Result: More than half are ionizable. **(Count: 5)** - **PtCl₄·5NH₃:** - Structure: Pt(NH₃)₅Cl₃ - Ionizable Cl: 3 (3 out of 4 are ionizable) - Half of Cl: 2 - Result: More than half are ionizable. **(Count: 6)** - **PtCl₄·4NH₃:** - Structure: Pt(NH₃)₄Cl₂ - Ionizable Cl: 2 (2 out of 4 are ionizable) - Half of Cl: 2 - Result: Exactly half are ionizable. **(Count: 7)** - **PtCl₄·3NH₃:** - Structure: Pt(NH₃)₃Cl₃ - Ionizable Cl: 3 (all are ionizable) - Half of Cl: 2 - Result: More than half are ionizable. **(Count: 8)** - **PtCl₄·2NH₃:** - Structure: Pt(NH₃)₂Cl₂ - Ionizable Cl: 2 (2 out of 4 are ionizable) - Half of Cl: 2 - Result: Exactly half are ionizable. **(Count: 9)** 3. **Total Count:** The total number of compounds in which at least half of the chloride ions are ionizable is **9**. ### Final Answer: The total number of compounds in which at least half of Cl^(-) are ionizable is **9**.
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