Step-by-step explanation:
Equation of the reaction:
H2(g) + F2(g) --> 2HF(aq)
1/2H2(g) + 1/2F2(g) --> HF(aq)
D(H-H) in H2 = 436 kJ/mol
D(F-F) in F2 = 158kJ/mol
ΔH bond breakage (dissociation):
1/2 mol H-H bonds = (1/2 X 436) kJ
= 218 kJ
1/2 mol F-F bonds = (1/2 X 158) kJ = = 80 kJ
Total = 218 + 80 = 298 kJ
ΔH bond formation:
1 mol H-F bonds = - 570 kJ
= DHreactant - DHproduct
ΔH°f = 298 kJ + -570 kJ = -272 kJ