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Q. If the freezing point of a 0.01 molal aqueous solution of a cobalt (III) chloride-ammonia complex (which behaves as a strong electrolyte) is -0.0558°C, the number of chloride(s) in the coordination sphere of the complex is
[ $K_{f}$ of water = 1.86 K $kg mol^{- 1}$ ]

NTA AbhyasNTA Abhyas 2022

Solution:

$\Delta T_{f}=iK_{f}m$
$0.0558=i\times 1.86\times 0.01$
$i=3$
i.e. 2 $Cl^{-}$ ions are present outside and one $Cl^{-}$ present inside the co-ordination sphere.