1.

A 0.001 molal solution of a complex with molecular formula [Pt(NH_(3))_(4)Cl_(4)] in water showed a freezing point depression of 0.0054^(@)C. If K_(f) for water is 1.80, what is the correct formulation of the molecule with a proper coordination sphere?

Answer»

SOLUTION :Suppose `[Pt(NH_(3))_(4)Cl_(4)]OVERSET("Dissociation")RARR" n moles of product ions "therefore""i=n`
Substituting the given data in the formula,
`DeltaT_(f)=iK_(f)m`, we get
`0.0054=nxx1.80xx0.001"or"n=3`
Hence, the formula MUST be one which gives 3 ions of the products, i.e., `[Pt(NH_(3))_(4)Cl_(2)]Cl_(2)`
`([Pt(NH_(3))_(2)Cl_(2)]Cl_(2)rarr[Pt(NH_(3))_(4)Cl_(2)]^(2+)+2Cl^(-))`


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