We have been given, Bond length of \(\mathrm{HCl}\) bond \(=2.29 \times 10^{-10} \mathrm{~m}\)
Measured dipole moment \(=6.226 \times 10^{-30} C-m\)
We have to find out : Percentage ionic character of \(\mathrm{HCl}\)
Now, the percentage ionic character:
It may be defined as the ratio of observed dipole moment to calculated dipole moment multiplied by \(100 .\) Percentage ionic character \(=\frac{\text { Observed dipole moment }}{\text { Calculated dipole moment }} \times 100\)
The observed dipole moment is given to us while the calculated one is alsoneeded.
So, let us calculate that one first.
Theoretically dipole moment can be calculated as-
Dipole moment \(=\) charge on electron \(\times\) bond length of the molecule
Dipole moment \(=1.6 \times 10^{-19} \times 2.29 \times 10^{-10}\)
Dipole moment \(=3.664 \times 10^{-20}\)
As we have calculated the dipole moment. So, now let us calculate
Percentage ionic character as Percentage ionic character \(=\frac{6.226 \times 10^{-19}}{3.664 \times 10^{20}} \times 100\)
Percentage ionic character \(=16.9 \%\)
This value is approximately equal to \(17 \%\).