Maximum flame temperature during Combustion of CH4

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Discussion Overview

The discussion revolves around calculating the maximum flame temperature during the combustion of methane (CH4). Participants are exploring the theoretical aspects of combustion temperatures, including the impact of different reactant compositions and the use of heat capacity values in calculations.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant states they calculated a maximum flame temperature of 4805 K but could not replicate this result and seeks assistance in identifying their error.
  • Another participant questions the composition of visible flames and its relevance to the discussion.
  • A participant points out a mathematical correction regarding the formula used for temperature calculation, suggesting that the expression should be (Tf2 - 2982) instead of (Tf - 298)2, which they claim leads to the 4805 K result.
  • There is skepticism about the correctness of the 4805 K answer, with a participant questioning the necessity of including the heat capacity of nitrogen (N2) in the calculations.
  • A participant clarifies that the heat capacity of N2 was provided for a different combustion scenario involving a mixture of 20% O2 and 80% N2, while the current discussion focuses on combustion in 100% O2.
  • One participant mentions obtaining a temperature of 2280 K for the combustion in 20% O2 and 80% N2 and asks if this result is correct.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of the calculated maximum flame temperature and the relevance of certain parameters in the calculations. The discussion remains unresolved regarding the accuracy of the temperature values and the implications of using different reactant compositions.

Contextual Notes

There are limitations regarding the assumptions made in the calculations, particularly concerning the heat capacities used and the specific conditions of the combustion reactions being analyzed.

duchuy
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Homework Statement
Combustion of CH4 at constant pressure (P=1bar).
Relevant Equations
CH4 (g) + 2O2 (g) --> CO2 (g) + 2H2O (g)
Enthalpy of reaction = -803 kJ.mol-1
Hi, I have to calculate the maximum flame temperature of the reaction above. The answer is 4805K but I didn't manage to obtain that answer. Please help me find my error, thank you so much! The values of C are below the solution attempt.
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What does a flame that you can see consist of?
 
Where you have written (Tf - 298)2, that should be (Tf2 - 2982). Correcting this gives 4805 K. But who says this is the right answer? Why do you think they give you the heat capacity of N2?
 
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mjc123 said:
Where you have written (Tf - 298)2, that should be (Tf2 - 2982). Correcting this gives 4805 K. But who says this is the right answer? Why do you think they give you the heat capacity of N2?
Thank you sir! My excuses for my math. They gave the heat capacity of N2 for the following question that asks about the combustion in 20% O2 and 80% N2.
This question is for combustion in 100% O2.
But again, thank you so much for your help!
By the way, I found 2280K for the combustion in 20% O2 and 80% N2, that should be correct right?
 

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