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

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Discussion Overview

The discussion revolves around calculating the Gibbs free energy change (\Delta G) for the reaction NH_{4}Cl(s) → NH_{3}(g) + HCl(g) at a temperature of 1000 K. Participants explore the implications of using standard thermodynamic values at a temperature different from the standard reference temperature of 298 K, focusing on the relationship between \Delta H, \Delta S, and temperature.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant calculated the standard change of entropy (\Delta S^{o}) as 0.284 kJ/K and expressed uncertainty about how to proceed to find \Delta G at 1000 K.
  • Another participant questioned the reasoning behind the initial participant's belief that their approach was incorrect, prompting a discussion on the temperature dependence of \Delta H and \Delta S.
  • It was suggested that changes in \Delta H and \Delta S with temperature could be calculated using heat capacity or by looking up values at 1000 K.
  • The original poster later mentioned finding information indicating that standard \Delta H and \Delta S values could be used without change for the calculation at 1000 K, which they found surprising.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether \Delta S changes with temperature or if it can be assumed constant for this calculation. The discussion remains unresolved regarding the appropriateness of using standard values at a non-standard temperature.

Contextual Notes

There is uncertainty regarding the dependence of \Delta H and \Delta S on temperature, and the original poster's approach to using standard values is challenged but not definitively resolved.

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 dependent on temperature don't really change over an actual temperature change. :P
Thank you very much for your help!

-Swerting
 

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