Answer: -7.4 kJ
Explanation:
The balanced chemical reaction is:
[tex]Fe(s)+2HCl(aq)\rightarrow FeCl_2(s)+H_2(g)[/tex]
The expression for enthalpy change is,
[tex]\Delta H=\sum [n\times \Delta H_f(product)]-\sum [n\times \Delta H_f(reactant)][/tex]
[tex]\Delta H=[(n_{FeCl_2}\times \Delta H_{FeCl_2})+(n_{H_2}\times \Delta H_{H_2})]-[(n_{Fe}\times \Delta H_{Fe})+(n_{HCl}\times \Delta H_{HCl})][/tex]
where,
n = number of moles
[tex]\Delta H_{Fe}=0[/tex] and [tex]\Delta H_{H_2}=0[/tex] (as heat of formation of substances in their standard state is zero
Now put all the given values in this expression, we get
[tex]\Delta H=[(1\times -341.8)+(1\times 0)]-[(1\times 0)+(2\times -167.2)][/tex]
[tex]\Delta H=-7.4kJ[/tex]
Therefore, the enthalpy change for this reaction is -7.4 kJ