If the freezing point of a 0.01 molal aqueous solution of a cobalt chloride ammonia complex ( which behaves as a strong electrolyte ) is 0.0558 degree Celsius, the number of chloride in the coordination sphere of the complex is ? (kf of water = 1.86k kg/mole

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Solution

The depression in freezing point is given by
∆Tf=Kfmi
0.0588=1.860.01i
i=0.0588/(1.86*0.01)
i=3
For strong electrolyte, i=n
n=no.of ions=3
Therefore, one mole of complex gives three moles of ions in solution.
Hence, the complex is [Co(NH3)5Cl]Cl2 and the number of Cl- ions inside the coordination sphere is 1.

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