J.R. S. answered 02/28/20
Ph.D. University Professor with 10+ years Tutoring Experience
(1) CO2(g) + C(s) → 2CO(g) ... ∆Hº = 172.5 kJ
(2) C(s) + O2(g) → CO2(g) ... ∆Hº = -393.5 kJ
The equation for the standard formation of CO(g) is C(s) + 1/2 O2(g) ==> CO(g) TARGET EQUATION
Use Hess' Law to obtain the target equation:
Copy (1) CO2(g) + C(s) ==> 2CO ∆H = 172.5 kJ
Copy (2) C(s) + O2(g) ===> CO2(g) ∆H = -393.5 kJ
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CO2(g) + 2C(s) + O2(g) ===> 2CO(g) + CO2(g) ∆H = 172.5 - 393.5 = -221 kJ
and cancelling common items we get...
2C(s) + O2(g) ==> 2CO(g) ∆H = -221 kJ and now divide by 2 to get our TARGET EQUATION...
C(s) + 1/2 O2(g) ===> CO(g) ∆H = -221 kJ/2 = -110 kJ = ∆Hºf of carbon monoxide (CO)