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Q. The standard enthalpy of formation of $H _{2}(g)$ and $Cl _{2}(g)$ and $HCl _{(g)}$ are $218\, kJ / mol,\, 121.68\, kJ / mol$ and $92.31\, kJ / mol$ respectively. Calculate standard enthalpy change in $k J$ for $\frac{1}{2} H_{2}(g), \frac{1}{2} C l_{2}(g) \rightarrow H C l_{(g)}$

J & K CETJ & K CET 2010Thermodynamics

Solution:

For reaction, $\frac{1}{2} H _{2}(g)+\frac{1}{2} Cl _{2}(g) \rightarrow HCl (g)$
$\Delta H =\Delta H _{f}( HCl )$
$-\left[\frac{1}{2} \times \Delta H _{f}\left( H _{2}\right)+\frac{1}{2} \times \Delta H _{f}\left( Cl _{2}\right)\right]$
$=-92.31-\left[\frac{1}{2} \times(218)+\frac{1}{2} \times(121.68)\right]$
$=-262.15\, kJ$