back to the FIRST question, is where I'm going to go. I'm going to use {H} for delta H
Reaction 1: 2 CH
3OH + 3 O
2 --> 2 CO
2 + 4 H
2O -- {H} = -726 kJ/mol
Reaction 2: C + O
2 --> CO
2 + 0 H
2O -- {H} = -394 kJ/mol
Reaction 3: 2 H
2 + O
2 --> 0 CO
2 + 2 H
2O -- {H} = -286 kJ/mol
Throwing the H2O in as a product was a red herring. Sorry bout that, I just saw it myself.
Anyways, check this out:
We want the enthalpy for C + 2 H
2 + 1/2 O
2 --> CH
3OH -- THIS is what makes it enthalpy of formation - it is the the reaction where all the reactants are the elements in their 'natural' form (as they are found in nature) and the only product is the compound you want.
Anyways, if you take Reaction 1, and reverse in, AND halve it...you get
Reaction 4: 1 CO
2 + 2 H
2O --> CH
3OH + 3/2 O
2 -- {H} = -(-726) kJ/mol = 726 kJ/mol
Now we took the negative of the {H} because we reversed the reaction. We DIDN'T divide by two...because the units on {H} are already PER MOLE...
Now, having done this a couple times, I realize that the water is going to cancel out in the final equation (if you don't get this the first time, no worries. Do a couple more, see if it comes to you, and if it doesn't, let us know, we'll explain)...Anyways it's like an 'instinct' thing.
So yeah. Let's take Reaction 3:
Reaction 5: 2 H
2 + O
2 --> 0 CO
2 + 2 H
2O -- {H} = -286 kJ/mol
And in the same way we won't do anything to reaction 2:
Reaction 2: C + O
2 --> CO
2 + 0 H
2O -- {H} = -394 kJ/mol
Now, let's recap
Reaction 2: C + O
2 --> CO
2 + 0 H
2O -- {H} = -394 kJ/mol
Reaction 5: 2 H
2 + O
2 --> 0 CO
2 + 2 H
2O -- {H} = -286 kJ/mol
Reaction 4: 1 CO
2 + 2 H
2O --> CH
3OH + 3/2 O
2 -- {H} = -(-726) kJ/mol = 726 kJ/mol
We can add all these together and get:
1 CO
2 + 2 H
2O + 2 H
2 + O
2 + C + O
2 --> CO
2 + 0 H
2O + 0 CO
2 + 2 H
2O + CH
3OH + 3/2 O
2Which cancels out to:
C + 2 H
2 + 1/2 O
2 --> CH
3OH
Which is the formation reaction for CH
3OH !
So we added reactions 2, 5, and 4 together to get the formation reaction and we'll use Hess' Law to get the Enthalpy of Formation (sum the reactions --> sum the enthalpies)
So {H}
f = (726 kJ/mol) + (-394 kJ/mol) + (-286 kJ/mol) = 46 kJ/mol
And there you have it.
P.S. Normally, we don't go around solving entire questions for people like this. We like to guide people along. But you seemed to understand the other guy's thing when he explained it all out, hopefully this does the same.
P.P.S. It was murder to type that out. Now I know why very few of the 'experienced' people don't use subscripts. It almost made me cry
... LOL