A thermodynamic study of `AlCl_(3(s))` is done to determine its standard enthalpy of formation `(Delta_(f)H_(AlCl_(3)(s))^(@))` from the following information.
(i) `AlCl_(3)(s)s to AlCl_(3) `[aq. In 4.0 M-HCl(aq)],`DeltaH^(@)=-180 kJ`
(ii) ` Al(s)+3HCl (aq.,4.0M) to AlCl_(3)` [aq. in 4.0 M-HCl(aq.)]`+(3)/(2)H_(2)(g),DeltaH^(@)=-700kJ`
(iii) ` (1)/(2) H_(2)(g) +(1)/(2)Cl_(2)(g) to HCl`(aq. , 4.0 M), `DeltaH^(@)=-158 kJ`
Determine `|Delta_(f)H_(AlCl_(3)(s))^(@)|` in kJ from these data: