Answer:
The standard enthalpy of the 3rd reaction is -586.56 kJ/mol.
Explanation:
[tex]H_2(g) +I_2(s) \rightarrow 2 HI(g) ,\Delta H^{o}_{r,1}= +52.96 kJ/mol [/tex]...[1]
[tex]2 H_2(g) + O_2(g)\rightarrow 2 H_2O(g),\Delta H^{o}_{r,2}=-483.64 kJ/mol[/tex]...[2]
[tex]4 HI(g)+O_2(g)\rightarrow 2 I_2(s)+2 H_2O(g) ,\Delta H^{o}_{r,3} =? [/tex]..[3]
By using Hess's we can determine the standard enthalpy of reaction of third reaction:
[2] - 2 × [1] = [3] (Hess's law)
[tex]O_2+4HI\rightarrow 2H_2O(g)+2I_2(s)[/tex]
[tex]\Delta H^{o}_{r,3}=\Delta H^{o}_{r,2}-2\times \Delta H^{o}_{r,1}[/tex]
[tex]=-483.64 kJ/mol - 2\times (52.96 kJ/mol)=-586.56 kJ/mol[/tex]
The negative sign indicates that energy is released during this reaction.
The standard enthalpy of the 3rd reaction is -586.56 kJ/mol.