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Calculate the formal charge of chlorine in the molecules \({\rm{C}}{{\rm{l}}_{\rm{2}}}\), \({\rm{BeC}}{{\rm{l}}_{\rm{2}}}\), and \({\rm{Cl}}{{\rm{F}}_{\rm{5}}}\).

Short Answer

Expert verified

The formal charge of \({\rm{Cl}}\) in the compound \({\rm{C}}{{\rm{l}}_{\rm{2}}}\) is \(0\), \({\rm{Be}}\) and \({\rm{Cl}}\) in the compound \({\rm{BeC}}{{\rm{l}}_{\rm{2}}}\) is \(0\)and, \({\rm{Cl}}\) and \({\rm{F}}\) in the compound \({\rm{Cl}}{{\rm{F}}_{\rm{5}}}\) is \(0\).

Step by step solution

01

Concept Introduction

A formal charge (\({\rm{F}}{\rm{.C}}{\rm{.}}\)or\({\rm{q}}\)) is the charge on an atom/molecule in covalent bonding, assuming electrons are shared equally in bonds made.

02

Formal Charge of Chlorine

To find the Formal charge use the formula –

Formal Charge \({\rm{ = }}\) \({\rm{(}}\)Number of valence electrons on atom) \({\rm{ - }}\) (non-bonded electrons\({\rm{ + }}\) Bonding electrons\({\rm{)}}\).

Formal Charge for \({\rm{Cl}}\) is:

\(\begin{aligned}&= \left( 7 \right){\rm{ - }}\left( {{\rm{6 + 1}}} \right)\\&= 0\end{aligned}\)

The formal charge for\({\rm{C}}{{\rm{l}}_{\rm{2}}}\) is found below –

Element

Bonding Electrons

Non-bonded Electrons

Valence Electrons

Formal Charge

\({\rm{Cl}}\)

\(1\)

\(6\)

\(7\)

\(0\)

Therefore, the formal charge for \({\rm{Cl}}\)is \(0\).

03

Formal Charge of Beryllium Chloride

To find the Formal charge use the formula –

Formal Charge\({\rm{ = }}\) \({\rm{(}}\)Number of valence electrons on atom) \({\rm{ - }}\) (non-bonded electrons \({\rm{ + }}\) Bonding electrons\({\rm{)}}\).

Formal Charge for \({\rm{Be}}\) is:

\(\begin{aligned}&= \left( {\rm{2}} \right){\rm{ - }}\left( {{\rm{0 + 2}}} \right)\\&= \end{aligned}\)

Formal Charge for \({\rm{Cl}}\) is:

\(\begin{aligned}&= \left( 7 \right){\rm{ - }}\left( {{\rm{6 + 1}}} \right)\\&= 0\end{aligned}\)

The formal charge for \({\rm{BeC}}{{\rm{l}}_{\rm{2}}}\)is found below –

Element

Bonding Electrons

Non-bonded Electrons

Valence Electrons

Formal Charge

\({\rm{Be}}\)

\(2\)

\(0\)

\(2\)

\(0\)

\({\rm{Cl}}\)

\(1\)

\(6\)

\(7\)

\(0\)

Therefore, the formal charge for\({\rm{Be}}\) and\({\rm{Cl}}\)is\(0\).

04

Formal Charge of Chlorine Pentafluoride

To find the Formal charge use the formula –

Formal Charge \({\rm{ = }}\) \({\rm{(}}\)Number of valence electrons on atom)\({\rm{ - }}\) (non-bonded electrons \({\rm{ + }}\) Bonding electrons\({\rm{)}}\).

Formal Charge for\({\rm{Cl}}\) is:

\(\begin{aligned} &= \left( 7 \right){\rm{ - }}\left( {{\rm{2 + 5}}} \right)\\&= 0\end{aligned}\)

Formal Charge for \({\rm{F}}\) is:

\(\begin{aligned}&= \left( 7 \right){\rm{ - }}\left( {{\rm{6 + 1}}} \right)\\&= 0\end{aligned}\)

The formal charge for\({\rm{Cl}}{{\rm{F}}_{\rm{5}}}\) is found below –

Element

Bonding Electrons

Non-bonded Electrons

Valence Electrons

Formal Charge

\({\rm{Cl}}\)

\(5\)

\(2\)

\(7\)

\(0\)

\({\rm{F}}\)

\(1\)

\(6\)

\(7\)

\(0\)

Therefore, the formal charge for \({\rm{Cl}}\) and\({\rm{F}}\)is \(0\).

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