`N_(2) O_(4) (g) + 3 CO(g) rarr N_(2) O (g) + 3 CO_(2) (g)`
Standard enthalpies of formation of `CO(g), CI_(2) (g), N_(2) O (g)`, and `N_(2) O_(4) (g)` are `- 110, – 393, 81`, and `9.7 kJ mol^(-1)`, respectively.
Strategy : The standard enthalpy change of a reaction is equal to the sum of the standard molar enthalpie of formation of the products each miltiplied by its stiochiometric coefficient in the balanced equation, minus the corresponding sum of the standard molar enthalpies of formation of the reactants
According to Eq.
`Delta_(1) H^(@) = sum_(i) a_(i) Delta_(f) H^(@)` (products) `- sum_(i) b_(i) Delta_(f) H^(@)` (reactants)
`[Delta_(f) H^(@) (N_(2) O, g) + 3 Delta_(f) H^(@) (CO_(2), g)]`
`- [Delta_(f) H^(@) (N_(2) O_(4), g) + 3 Delta_(f) H^(@) (CO, g)]`
`= [(1 mol) (81 kJ mol^(-1)) + (3 mol) (- 393 kJ mol^(-1))]`
`[(9 mol) (9.7 kJ mol^(-1)) + (3 mol) (- 110 kJ mol^(-1))]`
`- 777.7 kJ`