J.R. S. answered 11/04/21
Ph.D. in Biochemistry with an emphasis in Neurochemistry/Neuropharm
4NH3 + 3O2 ==> 2N2 + 6H2O ... TARGET EQUATION
Given:
eq.1: N2 + 3H2 ==> 2NH3 ... ∆H = -92 kJ
eq.2: H2O ==> H2 + 1/2 O2 ... ∆H = +286 kJ
Procedure:
reverse eq.1 and multiply by 2 ... 4NH3 ==> 2N2 + 6H2 ... ∆H = +184 kJ
reverse eq.2 and multiply by 6 ... 3O2 + 6H2 ==> 6H2O ... ∆H = -1716 kJ
add the equations to get ...4NH3 + 3O2 + 6H2 ==> 2N2 + 6H2 + 6H2O ... ∆H = -1532 kJ
cancell the 6H2 on each side to end up with ... 4NH3 + 3O2 ==> 2N2 + 6H2O ... ∆H = -1532 kJ