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 if `[K_(f)` of water `=1.86 K kg mol^(-1)]`

Explanation

`DeltaT_(f)=ixxK_(f)xxm`
`i=(DeltaT_(f))/(K_(f)xxm)=((0.0558K))/((1.86 Km^(-1))xx(0.01m))=3`
The value of I indicates that in aqueous solution, the complex dissociates to give ions.
`[Co(NH_(3))_(5)CI]CI_(2)overset(("aq"))to[Co(NH_(3))_(5)CI]^(+)2CI^(-)`
This means that one chlorine atom is present in the cooedination sphere. For more details, consult Unit-9 (Co-ordination compounds).