Posted by Mandy on Tuesday, January 24, 2012 at 10:34pm.
You need to set these up so that if you add up the equations you get the equation in the question.
So we need to get to
C3H6 (g) + 9/2 O2 (g) -> 3CO2 + 3H2O
C(s)+O2 (g) -> CO2 (g) dH= -394kJ
and we need three of these so
A.
3C(s)+3O2 (g) -> 3CO2 (g) dH= -1182kJ
H2 (g) + 1/2 O2 (g) -> H2O (l) dH= -286 kJ
again we need three of these
B.
3H2 (g) + 3/2 O2 (g) -> 3H2O (l) dH= -858 kJ
The last equation
3C (s) + 3H2 (g) -> C3H6 (g) dH= 53.3 kJ
we need to reverse so
C.
C3H6 (g) -> 3C (s) + 3H2 (g) dH= -53.3 kJ
(notice that I have revesed the sign on dH as I have reversed the equation)
If we now add equations A., B. and C. we will get the equation in the question (you should check that this is true). We can also add the dH values so
-1182kJ + -858 kJ + -53.3 kJ = -2093kJ
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