Account for the following: (a) \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2+}\) gives trans \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\right]\) with \(\mathrm{Cl}^{-}\) while \(\left[\mathrm{PtCl}_{4}\right]^{2-}\) on treatment with \(\mathrm{NH}_{3}\) gives cis \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{2} \mathrm{Cl}_{2}\right]\) (b) \(\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)\right]^{3+}\) is inert but \(\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}\) is labile towards ligand substitution reactions.

Short Answer

Expert verified
The difference in the isomers formed when a complex reacts with ligands is due to the number of ligand molecules that can react simultaneously. \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2+}\) forms a trans isomer with Cl- because two \(\mathrm{Cl}^{-}\) ions can enter simultaneously, while \(\left[\mathrm{PtCl}_{4}\right]^{2-}\) forms a cis isomer with \(NH_3\) because only one \(NH_3\) molecule can replace a \(\mathrm{Cl}^{-}\) at a time. Regarding the lability and inertness, \(\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)\right]^{3+}\) is inert as it has no empty orbitals for bonding, while \(\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}\) is labile as it has one orbital available for bonding.

Step by step solution

01

Explanation for the cis and trans isomerism

When \(\left[\mathrm{Pt}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2+}\) reacts with \(\mathrm{Cl}^{-}\), it leads to substitution of two \(\mathrm{NH}_{3}\) groups with two \(\mathrm{Cl}^{-}\) and forming a trans isomer, because the chloride ions enter simultaneously and prefer the trans position to minimise repulsion. However, when \(\left[\mathrm{PtCl}_{4}\right]^{2-}\) is treated with \(\mathrm{NH}_{3}\), only one \(\mathrm{NH}_{3}\) group can replace a \(\mathrm{Cl}^{-}\) at a time, hence both \(\mathrm{NH}_{3}\) groups will end up on the same side, leading to the formation of a cis isomer.
02

Explanation for lability and inertness

\(\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)\right]^{3+}\) is considered inert as it is a low spin d3 system, hence having no empty orbitals available for bonding which leads to its inertness in substitution reactions. On the other hand, \(\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}\) is a high spin d4 system and has one orbital available for bonding, hence it is labile and can easily undergo substitution reactions.

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