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Gibbs Free Energy help

by Swerting
Tags: energy, free, gibbs
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Swerting
#1
Mar7-09, 03:07 PM
P: 35
1. The problem statement, all variables and given/known data
The reaction is [tex]NH_{4}Cl(s)\rightarrow NH_{3}(g)+HCl(g)[/tex]
[tex]\Delta H^{o}=+176 kJ and \Delta G^{o}=+91.2 kJ[/tex] at 298 K
What is the value of [tex]\Delta G[/tex] at 1000 K?


2. Relevant equations
[tex]\Delta G=\Delta H-T\Delta S[/tex]
The same applies if all 'deltas' are standard


3. The attempt at a solution
Well, I solved for standard change of entropy ([tex]\Delta S^{o}[/tex]) and came up with .284 kJ/K, which is the same when using a table of standard entropies. My problem is, I'm not sure where to go from this to find [tex]\Delta G[/tex], or even a way to link standard values to normal values for these. I tried plugging in the values for standard delta H and delta S with 1000K to find delta G, but something tells me that this is incorrect. Any help would be greatly appreciated!

-Swerting
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Mapes
#2
Mar7-09, 04:36 PM
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Why do you think your first approach is incorrect?
Swerting
#3
Mar7-09, 04:53 PM
P: 35
I believe that my first approach is incorrect since standard values are at 298.15K, and this is asking for delta G at 1000K, implying that delta H and delta S have changed as well.

Mapes
#4
Mar7-09, 05:03 PM
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Gibbs Free Energy help

Do you know how to calculate changes in [itex]\Delta H[/itex] and [itex]\Delta S[/itex] with temperature? (Hint: it involves the heat capacity.) Alternatively, you could look up these values at 1000 K.
Swerting
#5
Mar7-09, 05:32 PM
P: 35
I can calculate [tex]\Delta H[/tex] from changes in temperature, but unfortuneately, not [tex]\Delta S[/tex], nor could I find a table of entropies at 1000K.
Swerting
#6
Mar7-09, 05:46 PM
P: 35
Alright, well, in the depths of the internet I finally found the answer explained, and apparently my using standard delta H and S were correct. The answers from the company that make the questions say that delta S doesn't change (thought says nothing about delta H) and so I just plug in the values and solve for delta G. Ah well, who would've guessed that values so dependant on temperature don't really change over an actual temperature change. :P
Thank you very much for your help!

-Swerting


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