Answer : The enthalpy change for the reaction is, 419.5 kJ
Explanation :
According to Hess’s law of constant heat summation, the heat absorbed or evolved in a given chemical equation is the same whether the process occurs in one step or several steps.
The given chemical reaction is,
[tex]2Ti(s)+3I_2(g)\rightarrow 2TiI_3(s)[/tex] [tex]\Delta H=-839kJ[/tex]
Now we have to determine the enthalpy change for the reaction below:
[tex]TiI_3(s)\rightarrow Ti(s)+\frac{3}{2}I_2(g)[/tex] [tex]\Delta H'=?[/tex]
By reversing and then dividing the reaction by 2, we get the enthalpy change for the reaction.
The expression will be:
[tex]\Delta H'=-\frac{(\Delta H)}{2}[/tex]
[tex]\Delta H'=-\frac{(-839kJ)}{2}[/tex]
[tex]\Delta H'=419.5kJ[/tex]
Therefore, the enthalpy change for the reaction is, 419.5 kJ