
Adil K. answered 12/14/20
Experienced Duke Engineering Graduate offering Math, Science, SAT
This will be a situation where you need to "add" the chemical equations together to form the final result.
So if I have the chemical equations
1) A+B -> C ∆H° =10
2) D+E -> B ∆H° =20
3) G+A -> D ∆H° =30
and I want to show that
C+G -> 2D+E
My first step would be to reverse reaction 1) so as to make sure I have C as a reactant, so
1) C -> A+B ∆H° =-10
2) D+E -> B ∆H° =20
3) G+A -> D ∆H° =30
Notice how we switch the enthalpy of 1), since the reverse of a reaction where you put energy in, is a reaction where energy is released. Now if I add all of these up, you will notice that A is both a reactant and a product, meaning that you can remove it from the "added" equation, because if you break down, and recreate a substance, there is no net energy gained or lost.
Since, in my final equation, I don't want B to be present either, we should also reverse equation 2), so that B is a reactant and a product just like A.
1) C -> A+B ∆H° =-10
2) B -> D+E ∆H° =-20
3) G+A -> D ∆H° =30
Now, if we add these equations up, and remove substances on both sides of the equation, we get:
C+B ->2D+E
To get the total enthalpy, now just add the enthalpy of each reaction
-10 + (-20) + (30)= 0
Hope this helps