J.R. S. answered 10/25/18
Ph.D. University Professor with 10+ years Tutoring Experience
Review Hess' Law
Reverse equation (1): Cl(g) + 2O2(g) ==> Cl)(g) + O3(g) ∆H = +122.8 kJ/mol (note change in sign of ∆H)
Copy equation (2): 2O3(g) ===> 3O2(g) ∆H = -285.3 kJ/mol
Add the 2 equations: 2O3(g) + Cl(g) + 2O2(g) ===> Cl))g) + O3(g) + 3O2(g) and cancel common species
When you do this, you end up with the desired equation (3):
Cl(g) + O3(g) ===> ClO(g) + O2(g) ∆H = -285.3 + 122.8 = -162.5 kJ/mole