J.R. S. answered 05/02/20
Ph.D. University Professor with 10+ years Tutoring Experience
FeO(s) + Hg(l) ==> Fe(s) + HgO(s) ... TARGET EQUATION
(1) 2Fe(s) + O2(g) ==> 2FeO(s)...... ΔH° = -544.0 kJ
(2) 2Hg(l) + O2(g) ==> 2HgO(s)......ΔH° = -181.6 kJ
reverse (1) and divide by 2 to get FeO(s) ==> Fe(s) + 1/2 O2(g) ... ∆Hº = +272 kJ
copy (2) and divide by 2 to get Hg(l) + 1/2 O2(g) ==> HgO(s) ... ∆Hº = -90.8
add new equations to get
FeO(s) + Hg(l) ==> Fe(s) + HgO(s) ... Target equation
Adding the ∆Hº values we get +272 - 90.8 = +181.2 kJ
The second problem follows the same principles as this first problem. You should be able to do it. If not, post it as a separate question.