J.R. S. answered 04/28/21
Ph.D. University Professor with 10+ years Tutoring Experience
You kinda messed up the formatting, so I'll assume the following is what you meant...
Given:
(1) H2(g) + F2(g) ==> 2HF(g) ... ∆H = -546.6 kJ/mol
(2) 2H2(g) + O2(g) ==> 2H2O(l) ... ∆H = -571.6 kJ/mol
Calculate ∆H for:
2F2(g) + 2H2O(l) ==> 4HF(g) + O2(g) ... ∆H = ?
This is an example of using Hess' Law. Rearrange the 2 given equations to obtain the unknown:
Procedure:
copy (1) x2: 2H2(g) + 2F2(g) ==> 4HF(g) ... ∆H = -546.6 x 2 = -1093.2 kJ
reverse (2): 2H2O(l) ==> 2H2(g) + O2(g) ... ∆H = +571.6 kJ (change sign)
____________________________________________add the 2 reactions and combine or cancel like terms
2F2(g) + 2H2O(l) ==> 4HF(g) + O2(g) ∆H = -1093.2 + 571.6 = -521.6 kJ