How much work is done during the combustion of 1.0 mol of octane at 1.0 atm?

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The combustion of 1.0 mol of octane at 1.0 atm results in a change in internal energy of 5084.5 kJ and a change in enthalpy of 5074.2 kJ. The work done during combustion is calculated using the equation w = -PΔV, leading to a ΔV of -10.3 L. This translates to work of approximately 1.04339 kJ when converted from L·atm to kJ. A participant identified an error in the initial calculation, noting that ΔV should be in liters rather than kJ/atm, which clarified the correct approach to finding the work done.
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Homework Statement


The change in internal energy for the combustion of 1.0 mol of octane at a pressure of 1.0 atm is 5084.5 Kj. If the change in enthalpy is 5074.2 Kj, how much work is done during the combustion? Find work in Kj.



Homework Equations



\DeltaE=\DeltaH + (-P\DeltaV)

w=-P\DeltaV

The Attempt at a Solution



\DeltaE=5084.5Kj
\DeltaH=5074.2Kj

5084.5-5074.2=-1atm(\DeltaV)
-10.3=\DeltaV

w=-(1)(-10.3)=10.3

10.3L*atm x 101.3J=1043.39J

\frac{1043.39}{1000}= 1.04339 Kj

This is an online homework set, so when I input the answer it usually will give me a hint if I am close, but I am not getting anything. Can anyone spot my error? Thanks in advance.

Joe
 
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I don't know if you have already figured this out, but I thought I'd let you know I found your problem. The way you solved it, your change in volume ended up in kJ/atm when it should be in liters. I just did a track and took 10300J and divided it by 101.3 J to end up with about 101.68 L.

10.3kJ/atm x 1000J/1kJ x 1 Latm/101.3J= 101.68 L.

Hopefully that helped if you haven't already figured it out!
 
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