What is the Standard Enthalpy Change for the Reaction 4NH3 + 3O2 --> 2N2 + 6H2O?

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Discussion Overview

The discussion revolves around determining the standard enthalpy change for the reaction 4NH3 + 3O2 --> 2N2 + 6H2O. Participants explore the implications of using different standard heats of formation for water and the significance of specifying the physical states of the reactants and products.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant presents a calculation for the standard enthalpy change using the given heats of formation, resulting in -1531 kJ/mol.
  • Another participant challenges the value used for the standard heat of formation of water, suggesting that -285.83 kJ/mol refers to liquid water, while the gaseous value is -241.826 kJ/mol.
  • Several participants note that the reaction does not specify the physical state of water, leading to ambiguity in the calculation.
  • There is a discussion about whether the standard state of water is typically considered as liquid, with some participants suggesting that it is acceptable to assume gaseous water in this context.
  • One participant raises the possibility of an error in the quiz grading, indicating that there may be discrepancies in how the problem was interpreted.
  • There is uncertainty regarding whether the enthalpy change should be divided by four, with differing opinions on whether this is necessary based on the reaction stoichiometry.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate value for the standard heat of formation of water and whether the physical state of water should be assumed. The discussion remains unresolved regarding the correct approach to calculating the enthalpy change and the conventions for reporting it.

Contextual Notes

There are limitations regarding the assumptions made about the physical states of the reactants and products, as well as the lack of clarity in the problem statement about whether the enthalpy change should be reported per mole of a specific reactant.

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Homework Statement


Determine the standard enthalpy change for the reaction below.

4NH3 + 3O2 --> 2N2 + 6H2O

Given:
Standard heat of formation of NH3: -45.9 kJ/mol

Standard heat of formation of H2O: -285.83 kJ/mol


Homework Equations





The Attempt at a Solution


I had this question on a quiz and got points taken off, but I can't figure out why. Here's my solution:

{ (6 x -285.83 kJ/mol) + (2 x 0) } - { (3 x 0) + (4 x -45.9 kJ/mol)} = -1531 kJ/mol
 
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Because the standard heat of formation of gaseous water is -241.826 kJ/mol.
I'm not sure where you got the -285.83 from, but I believe it's the liquid value.
 
Reaction (as entered) doesn't state whether it should be gaseous or liquid water. My thermo is somewhat rusty, but isn't standard state of water liquid?
 
Borek said:
Reaction (as entered) doesn't state whether it should be gaseous or liquid water. My thermo is somewhat rusty, but isn't standard state of water liquid?

It is. But it wouldn't be wrong then! :)

I assumed the gas-phase states since, well, it's a gas-phase reaction.
If the problem was stated without specifying H2O (l) or H2O (g) then either would be correct, depending on whether you mean the 'standard enthalpy' in the strict sense, or the 'reaction enthalpy at standard pressure and temperature'.
 
There is always a slight possibility that there was a mistake in the test :smile:
 
Just to clarify, the reaction was wriiten without states in the problem, and there were no states specified in the heat of formation given either.

Was I supposed to divide the value I got by four?
 
That would be enthalpy change for a mole of ammonia, not for the reaction as written. I am not sure if there exeist some precise convention, I have seen it discussed (without any decisive conclusions) by chemistry teachers.
 
Yeah, I always thought you didn't divide by anything when it was for an actual reaction. It wouldn't make sense here because it doesn't specify per mole of ammonia vs. per mole of oxygen.

Anyways, thanks for your help.
 

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