Answer
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Hint: Hybridization of an atom depends on the number of atoms from which the central atom is attached and number of lone pairs attached to it.
Complete step by step solution:
In shortcut form we can calculate hybridization as:
First we have to look at the atom of which we have to calculate hybridization, and count the number of atoms connected to it, not bonds.
And count the number of lone pairs attached to it. And add them both.
\[N{{H}_{3}}\]: Nitrogen has 5 electrons in a valence shell from which it makes 3 single bonds with hydrogen and it has one lone pair on it. And \[N{{H}_{3}}\]has a tetrahedral shape. So, the hybridization of nitrogen is \[s{{p}^{3}}\]. 3 bond pairs in p-orbital and one lone pair from s-orbital.
\[{{[PtC{{l}_{4}}]}^{2-}}\]: \[Pt\] has 8 valence electrons in valence shell from which it makes 4 bonds with chlorine. And it has a square planar shape. So, the hybridization of \[P{{t}^{+2}}\]is\[ds{{p}^{2}}\]. Because one d-orbital is vacant.
\[PC{{l}_{5}}\]: \[P\] has 5 valence electrons with which it makes 5 bonds with chlorines. And these electron pairs by bonding are filled in one s-orbital 3 in d-orbital and one pair in d-orbital. So, it has \[s{{p}^{3}}d\]configuration and triangular bipyramidal shape.
\[BC{{l}_{3}}\]: \[B\] has 3 valence electrons and it makes 3 bonds with chlorine. So, it has hybridization \[s{{p}^{2}}\] and triangular shape.
So, the correct answer is “B(\[s{{p}^{3}},ds{{p}^{2}},ds{{p}^{3}},s{{p}^{2}}\])”.
Note: \[{{[PtC{{l}_{4}}]}^{2-}}\] is an exception because it has 5d-orbital and here chlorine acts as strong electrons. So, two unpaired electrons of d-orbital get paired so one d-orbital is vacant. But in case of \[N{{H}_{3}}\], nitrogen does not have d orbital so all electrons get filled in p orbital.
Complete step by step solution:
In shortcut form we can calculate hybridization as:
First we have to look at the atom of which we have to calculate hybridization, and count the number of atoms connected to it, not bonds.
And count the number of lone pairs attached to it. And add them both.
\[N{{H}_{3}}\]: Nitrogen has 5 electrons in a valence shell from which it makes 3 single bonds with hydrogen and it has one lone pair on it. And \[N{{H}_{3}}\]has a tetrahedral shape. So, the hybridization of nitrogen is \[s{{p}^{3}}\]. 3 bond pairs in p-orbital and one lone pair from s-orbital.
\[{{[PtC{{l}_{4}}]}^{2-}}\]: \[Pt\] has 8 valence electrons in valence shell from which it makes 4 bonds with chlorine. And it has a square planar shape. So, the hybridization of \[P{{t}^{+2}}\]is\[ds{{p}^{2}}\]. Because one d-orbital is vacant.
\[PC{{l}_{5}}\]: \[P\] has 5 valence electrons with which it makes 5 bonds with chlorines. And these electron pairs by bonding are filled in one s-orbital 3 in d-orbital and one pair in d-orbital. So, it has \[s{{p}^{3}}d\]configuration and triangular bipyramidal shape.
\[BC{{l}_{3}}\]: \[B\] has 3 valence electrons and it makes 3 bonds with chlorine. So, it has hybridization \[s{{p}^{2}}\] and triangular shape.
So, the correct answer is “B(\[s{{p}^{3}},ds{{p}^{2}},ds{{p}^{3}},s{{p}^{2}}\])”.
Note: \[{{[PtC{{l}_{4}}]}^{2-}}\] is an exception because it has 5d-orbital and here chlorine acts as strong electrons. So, two unpaired electrons of d-orbital get paired so one d-orbital is vacant. But in case of \[N{{H}_{3}}\], nitrogen does not have d orbital so all electrons get filled in p orbital.
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