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The state of hybridisation for the transition state of hydrolysis mechanism of \[{\text{BC}}{{\text{l}}_3}\] and \[{\text{S}}{{\text{F}}_4}\] are respectively
A) \[{\text{s}}{{\text{p}}^2}{\text{, s}}{{\text{p}}^3}{\text{d}}\]
B) \[{\text{s}}{{\text{p}}^3}{\text{, s}}{{\text{p}}^3}\]
C) \[{\text{s}}{{\text{p}}^3}{\text{, s}}{{\text{p}}^3}{{\text{d}}^2}\]
D) \[{\text{s}}{{\text {p}}^3}{\text{, s}}{{\text{p}}^3}{\text{d}}\]

Answer
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Hint:
During hydrolysis the water molecule adds up with positive charge on oxygen to the central atom which will get negative. The number of bond pairs and lone pairs in the intermediate structure will give us the hybridisation.

Complete step by step solution:
Hydrolysis refers to the breaking of molecules in the presence of water. The addition of water molecules occurs in the intermediate step.
When hydrolysis of \[{\text{BC}}{{\text{l}}_3}\] occurs then the intermediate that forms have the formula: \[{\text{C}}{{\text{l}}_3}\mathop {\text{B}}\limits^ - \mathop {{{\text{O}}_2}{\text{H}}}\limits^ + \]
The structure of the intermediate formed is:
seo images

As we can see that it forms 4 bonds. There is no lone pair of electrons present on the central atom. The negative charge signifies the extra electron that has been taken by boron to form forth bond and not the lone pair of electrons. The hybridisation with 4 bond pairs and zero lone pair will be \[{\text{s}}{{\text{p}}^3}\] . The geometry formed will be tetrahedral.
When hydrolysis of \[{\text{S}}{{\text{F}}_4}\] occurs then the intermediate that forms have the formula: \[{{\text{F}}_4}\mathop {\text{S}}\limits^ - \mathop {{{\text{O}}_2}{\text{H}}}\limits^ + \]
The structure of the intermediate formed is:
seo images

As we can see that it forms 5 bonds. There is one lone pair of electrons present on the central atom that is sulphur. The hybridisation here will be octahedral. Since we have 5 bond pairs and one lone pair of electrons the geometry of this intermediate will be square pyramidal.

Thus, the correct option is C.

Note:
The intermediate that forms in between reactions is not very stable and hence it converts to the product. There are two types of reaction, one in which transition state is involved while converting the reactants to products. The other one includes the formation of intermediate. Carbocation, carbanion, carbine etc. are some reaction intermediates.