Solve for \Delta G at 1000K: NH_{4}Cl Reaction

AI Thread Summary
The discussion focuses on calculating the Gibbs free energy change (\Delta G) for the reaction NH_{4}Cl(s) → NH_{3}(g) + HCl(g) at 1000 K, given standard values at 298 K. The user initially calculated the standard change of entropy (\Delta S^{o}) as 0.284 kJ/K but was unsure how to proceed with finding \Delta G at the higher temperature. It was clarified that standard values can be used directly for this calculation, as \Delta S does not significantly change with temperature. The user ultimately confirmed that using the standard \Delta H and \Delta S values at 1000 K was appropriate for solving \Delta G. This highlights the importance of understanding how thermodynamic values behave across different temperatures.
Swerting
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Homework Statement


The reaction is NH_{4}Cl(s)\rightarrow NH_{3}(g)+HCl(g)
\Delta H^{o}=+176 kJ and \Delta G^{o}=+91.2 kJ at 298 K
What is the value of \Delta G at 1000 K?


Homework Equations


\Delta G=\Delta H-T\Delta S
The same applies if all 'deltas' are standard


The Attempt at a Solution


Well, I solved for standard change of entropy (\Delta S^{o}) 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 \Delta G, 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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Why do you think your first approach is incorrect?
 
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.
 
Do you know how to calculate changes in \Delta H and \Delta S with temperature? (Hint: it involves the heat capacity.) Alternatively, you could look up these values at 1000 K.
 
I can calculate \Delta H from changes in temperature, but unfortuneately, not \Delta S, nor could I find a table of entropies at 1000K.
 
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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