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Question: Why does \[PC{l_5}\] in the solid state exist as cation and anion, i.e. in the form of \[PC{l_4}^ + ...

Why does PCl5PC{l_5} in the solid state exist as cation and anion, i.e. in the form of PCl4+PC{l_4}^ + andPCl61PC{l_6}^{ - 1}?

Explanation

Solution

Phosphorus pentachloride exists in ionic form in the solid state. It exists as PCl4+PC{l_4}^ + in action from and PCl61PC{l_6}^{ - 1} as anionic form. This is because of the stability reasons. In solid form the stability of these ions is more than that of PCl5PC{l_5}. Also the lattice structure of these ions are more stable than that of PCl5PC{l_5}.

Complete Answer:
In solid state, PCl5PC{l_5} exists in ionic form. The cationic form is PCl4+PC{l_4}^ + and the anionic form is PCl61PC{l_6}^{ - 1}. This is because of the stability reasons. The formation of these ions can be represented by the following reaction as:
PCl5 + PCl5 + energy  PCl4+ + PCl6PC{l_5}{\text{ }} + {\text{ }}PC{l_5}{\text{ }} + {\text{ }}energy{\text{ }} \to {\text{ }}PC{l_4}^ + {\text{ }} + {\text{ }}PC{l_6}^ -
Thus two moles of PCl5PC{l_5} react with some amount of energy absorbed and we get PCl4+PC{l_4}^ + andPCl61PC{l_6}^{ - 1}. The stability of any compound depends on its lattice energy and its lattice structure. If a compound has unstable structure or it has high energy then it is considered to be unstable. The lattice energy is the energy which is required to break the lattice structure of the compound. Thus the ions have higher lattice energy and thus we require more energy to break its structure, therefore it is stable in nature. PCl4+PC{l_4}^ + has tetrahedral geometry and PCl61PC{l_6}^{ - 1} has octahedral geometry. While PCl5PC{l_5} has trigonal bipyramidal geometry. Thus ionic form of PCl5PC{l_5} has more stable geometry so it exists in ionic form in solid state.

Note:
The geometry of PCl5PC{l_5} , PCl4+PC{l_4}^ + and PCl61PC{l_6}^{ - 1} can be find out with the help of VSEPR model. We can find the hybridization of each compound and thus find its geometry. Tetrahedral and octahedral structures are more stable structures than the trigonal bipyramidal structure of a compound. The stability of structure also depends on the angle strain between the bonds.