Let's complete the table using the given quantities.
Bond Lengths:
- [tex]\( 145\, \text{pm} \)[/tex]
- [tex]\( 125\, \text{pm} \)[/tex]
- [tex]\( 110\, \text{pm} \)[/tex]
Bond Energies:
- [tex]\( 167\, \text{kJ/mol} \)[/tex]
- [tex]\( 418\, \text{kJ/mol} \)[/tex]
- [tex]\( 942\, \text{kJ/mol} \)[/tex]
### Step-by-Step Solution:
1. Bond [tex]\( N - N \)[/tex]:
- Bond Energy: [tex]\( N - N \)[/tex] bond has a bond energy of [tex]\( 167\, \text{kJ/mol} \)[/tex].
- Bond Length: [tex]\( N - N \)[/tex] bond has a bond length of [tex]\( 145\, \text{pm} \)[/tex].
2. Bond [tex]\( N = N \)[/tex]:
- Bond Energy: [tex]\( N = N \)[/tex] bond has a bond energy of [tex]\( 418\, \text{kJ/mol} \)[/tex].
- Bond Length: [tex]\( N = N \)[/tex] bond has a bond length of [tex]\( 125\, \text{pm} \)[/tex].
3. Bond [tex]\( N \equiv N \)[/tex]:
- Bond Energy: [tex]\( N \equiv N \)[/tex] bond has a bond energy of [tex]\( 942\, \text{kJ/mol} \)[/tex].
- Bond Length: [tex]\( N \equiv N \)[/tex] bond has a bond length of [tex]\( 110\, \text{pm} \)[/tex].
### Completed Table:
[tex]\[
\begin{array}{|l|l|l|}
\hline & \text{Bond Energy} & \text{Bond Length} \\
\hline N - N & 167\, \text{kJ/mol} & 145\, \text{pm} \\
\hline N = N & 418\, \text{kJ/mol} & 125\, \text{pm} \\
\hline N \equiv N & 942\, \text{kJ/mol} & 110\, \text{pm} \\
\hline
\end{array}
\][/tex]
This table correctly assigns each given quantity to the appropriate bond type based on their properties.
