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Q. Consider the reaction at $300\, K$
$H _{2( g )}+ Cl _{2( g )} \rightarrow 2 HCl _{( g )}, \Delta H ^{\circ}=-185\, kJ \,mol ^{-1}$
If $3$ mole of $H _{2}$ completely react with $3 \,mol$ of $Cl _{2}$ to form $HCl , \Delta U ^{\circ}$ of the reaction will be :

Thermodynamics

Solution:

$H _{2}+ Cl _{2} \longrightarrow 2 HCl \,\,\,\,\,\Delta H =-185\, kJ$
for $3$ mole $H _{2} \,\&\, 3$ mole $Cl _{2}$
$\Delta H =-185 \times 3=-555 \,kJ $
$\Delta U =\Delta H$