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Enthalpy of Combustion from mean bond enthalpies

The question says use mean enthalpy data given to calculate std enthalpy changes below:

a) enthalpy of combustion of ethane

Mean bond enthalpy:

H-O 463
C=O 743
O=O 498
H-C 413
C-C 348

can someone please explain to me how to do this? I am really struggling and the exam is in just over a week! :frown:

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Reply 1
So first you have to form an equation for the combustion of ethane:

2(C2H6) + 7(O2) = 4(CO2) + 6(H2O)

Then you have to break all the bonds in ethane and oxygen:

12 x C-H (which requires 12 x 413 kJ mol-1)
2 x C-C (which requires 2 x 348 kJ mol-1)
7 x O=O (which requires 7 x 498 kJ mol-1)

which requires in total (12x413)+(2x348)+(7x498)= 9138 kJmol-1
so you have used up 9138 kJ mol-1


Now you have to work out how much energy is released when bonds are made making CO2 + H2O:

O=C=O H-O-H

8 x C=O (8 x 748)
12 x O-H (12 x 468)

so in total, making bonds has released 11600 kJmol-1

so 11600-9138= 2462 kJ mol-1

So 2462 kJ mol-1 has been released, so the reaction is exothermic, so the enthalpy of combustion is negative-

so (delta)HC = -2462 kJ mol-1

Hope this helps. You should draw a Hess' law diagram on your paper- it will make it easier to calculate and will allow the examiner to see that you have calculated it correctly.

Good luck!!
Reply 2
bottfly7
So first you have to form an equation for the combustion of ethane:

2(C2H6) + 7(O2) = 4(CO2) + 6(H2O)

Then you have to break all the bonds in ethane and oxygen:

12 x C-H (which requires 12 x 413 kJ mol-1)
2 x C-C (which requires 2 x 348 kJ mol-1)
7 x O=O (which requires 7 x 498 kJ mol-1)

which requires in total (12x413)+(2x348)+(7x498)= 9138 kJmol-1
so you have used up 9138 kJ mol-1


Now you have to work out how much energy is released when bonds are made making CO2 + H2O:

O=C=O H-O-H

8 x C=O (8 x 748)
12 x O-H (12 x 468)

so in total, making bonds has released 11600 kJmol-1

so 11600-9138= 2462 kJ mol-1

So 2462 kJ mol-1 has been released, so the reaction is exothermic, so the enthalpy of combustion is negative-

so (delta)HC = -2462 kJ mol-1

Hope this helps. You should draw a Hess' law diagram on your paper- it will make it easier to calculate and will allow the examiner to see that you have calculated it correctly.

Good luck!!


Thanks...see I was totally confused cuz the answers in the back of the book say -1181 kJmol^-1

Your answer is definitely correct right? Cuz it makes sense!
Reply 3
My answer is correct, as long as the values for the mean bond enthalpies you quoted are right (I didn't check them).
Reply 4
Wouldn't it be C2H6 + 3 and a half O2 -----> 2(CO2) + 3H2O??
Reply 5
bottfly7
My answer is correct, as long as the values for the mean bond enthalpies you quoted are right (I didn't check them).


I just tried a second question & again I have a different answer to the book :s-smilie: this time its combustion of ethanol. Used the same values above
I got -1728
Reply 6
sigstuff
Wouldn't it be C2H6 + 3 and a half O2 -----> 2(CO2) + 3H2O??


even when I tried this I got a different answer to the book.....ahhhh
Reply 7
aimz08
even when I tried this I got a different answer to the book.....ahhhh


I just did this and got the answer that the book gave.

C-C = 348
(6) C-H = 2478
(3,1/2) O=O = 1734
TOTAL = 4569

(4) C=O = 2972
(6) H-O = 2778
TOTAL = 5750

4569 - 5750 = -1181
Reply 8
aimz08
even when I tried this I got a different answer to the book.....ahhhh


Is the final answer -2362?

and also, it's 7O2 instead of 3andahalfO2 so that it's easier to add up asnd multiply. makes no difference to the final answer.
Reply 9
bottfly7
So first you have to form an equation for the combustion of ethane:

2(C2H6) + 7(O2) = 4(CO2) + 6(H2O)

Then you have to break all the bonds in ethane and oxygen:

12 x C-H (which requires 12 x 413 kJ mol-1)
2 x C-C (which requires 2 x 348 kJ mol-1)
7 x O=O (which requires 7 x 498 kJ mol-1)

which requires in total (12x413)+(2x348)+(7x498)= 9138 kJmol-1
so you have used up 9138 kJ mol-1


Now you have to work out how much energy is released when bonds are made making CO2 + H2O:

O=C=O H-O-H

8 x C=O (8 x 748)
12 x O-H (12 x 468)

so in total, making bonds has released 11600 kJmol-1

so 11600-9138= 2462 kJ mol-1

So 2462 kJ mol-1 has been released, so the reaction is exothermic, so the enthalpy of combustion is negative-

so (delta)HC = -2462 kJ mol-1

Hope this helps. You should draw a Hess' law diagram on your paper- it will make it easier to calculate and will allow the examiner to see that you have calculated it correctly.

Good luck!!


Should be 11500 shouldn't it?
Reply 10
sigstuff
I just did this and got the answer that the book gave.

C-C = 348
(6) C-H = 2478
(3,1/2) O=O = 1734
TOTAL = 4569

(4) C=O = 2972
(6) H-O = 2778
TOTAL = 5750

4569 - 5750 = -1181


It;s not 4569 its 4560, you totalled it up wrong

so the answer is then -1190
Reply 11
I have been working on this for 3 hours now!!! Anyone know the correct answer please?
Reply 12
aimz08
It;s not 4569 its 4560, you totalled it up wrong

so the answer is then -1190


I wrote down 1734 instead of 1743 sorry.
Reply 13
Ok so anyone have the final answer cuz I'm confuseD?
Reply 14
This is the final answer.

C-C = 348
(6) C-H = 2478
(3,1/2) O=O = 1743
TOTAL = 4569

(4) C=O = 2972
(6) H-O = 2778
TOTAL = 5750

4569 - 5750 = -1181
Reply 15
sigstuff
This is the final answer.

C-C = 348
(6) C-H = 2478
(3,1/2) O=O = 1743
TOTAL = 4569

(4) C=O = 2972
(6) H-O = 2778
TOTAL = 5750

4569 - 5750 = -1181


This. I forgot to half my answer.
Reply 16
DCalfine
This. I forgot to half my answer.


right agreed. Thank God for that :biggrin: Thanks everyone!
Reply 17
Anyone tempted to workout combustion of ethanol?
Reply 18
aimz08
Anyone tempted to workout combustion of ethanol?


What should the answer be and I'll post if I got the same.
Reply 19
sigstuff
What should the answer be and I'll post if I got the same.


Answer should be: -2703

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