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Q. The $H-H$ bond energy is $430 \,kJ$ mole $^{-1}$ and $Cl - Cl$ bond energy is $240 \,k J$ mole $^{-1}, \Delta H$ for $H C l$ is $-90 \, k J$. The $H-C l$ bond energy is about:

Haryana PMTHaryana PMT 2001

Solution:

$\frac{1}{2} H_{2}+\frac{1}{2} C l_{2} \rightarrow H C l ;$
$\Delta H=-90 \,k J$
$-\Delta H=\frac{1}{2} B \cdot E \cdot(H-H)+\frac{1}{2} B \cdot E(C l-C l)$
or $-90=\frac{1}{2}[430]+\frac{1}{2}[240]-B \cdot E \cdot(H-C l)$
or $-90=215+120-B \cdot E \cdot(H-C l)$
B. $E \cdot(H-C l)=215+120+90$
$=425\, k J$ mole $^{-1}$