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Q. What is the bond energy of $Cl-Cl$ bond in the reaction $\left(CH\right)_{4}\left(\right.g\left.\right)+\left(Cl\right)_{2}\left(\right.g\left.\right) \rightarrow \left(CH\right)_{3}Cl\left(\right.g\left.\right)+HCl\left(\right.g\left.\right)$ which has $\Delta H=-25kcal$ .
Data:
  1. Bond energy of $C-Cl$ = $84kcal$
  2. Bond energy $H-Cl$ = $103kcal$ .
  3. Bond energies of $C-H$ and $Cl-CI$ bonds are in the ratio $x:y$ . If $x:y=9:5$ .

NTA AbhyasNTA Abhyas 2020

Solution:

The reaction
$-25=36a+5a-\left(\right.84+27a+103\left.\right)$
$162=14a$
$\Rightarrow a=11.57$
$\Rightarrow E_{C 1 - a}=5\times 11.57=57.85k$ cal