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A complex is represented as \( \mathrm{CoCl}_{3} x \mathrm{NH}_{3} \). Its \( 0.1 \) molal solution in water shows \( \Delta T_{f}=0.558 \mathrm{~K} \). \( K_{f} \) for \( \mathrm{H}_{2} \mathrm{O} \) is \( 1.86 \mathrm{~K} \mathrm{molality}^{-1} \). Assuming \( 100 \% \) ionisation of complex and co-ordination number of \( \mathrm{Co} \) is six, calculate formula of complex:
(a) \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right] \mathrm{Cl}_{3} \)
(b) \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{Cl}\right] \mathrm{Cl}_{2} \)
(c) \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Cl}_{2}\right] \mathrm{Cl} \)
(d) none of these
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