Question 12 Marks
Calculate the wavelength of the radiation which would cause photochemical dissociation of a chlorine molecule.
The bond dissociation energy $Cl - Cl$ of bond is $245 kJ mol ^{-1}$.
The bond dissociation energy $Cl - Cl$ of bond is $245 kJ mol ^{-1}$.
Answer
View full question & answer→Bond dissociation energy required to break 1 mole of $Cl - Cl$ bonds $=245 kJ$ (Given)
Therefore, Energy required to break one $Cl - Cl$ bond $=\frac{245 \times 10^3}{6.023 \times 10^{23}}=4.068 \times 10^{-19} J$
Now, $E=b v=\frac{b c}{\lambda}$
$
\lambda=\frac{h c}{E}=\frac{6.626 \times 10^{-34} \times 3.0 \times 10^8}{4.068 \times 10^{-19}}=4.89 \times 10^{-7} m
$
Therefore, Energy required to break one $Cl - Cl$ bond $=\frac{245 \times 10^3}{6.023 \times 10^{23}}=4.068 \times 10^{-19} J$
Now, $E=b v=\frac{b c}{\lambda}$
$
\lambda=\frac{h c}{E}=\frac{6.626 \times 10^{-34} \times 3.0 \times 10^8}{4.068 \times 10^{-19}}=4.89 \times 10^{-7} m
$

