How to determine Chemical potential

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Discussion Overview

The discussion revolves around the concept of chemical potential for gas-phase molecules such as N2, CO, and NH3. Participants explore definitions, calculations, and theoretical implications related to chemical potential in both single and multi-component systems.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant asks how to determine the chemical potential of N2, CO, or NH3 in the gas phase.
  • Another participant defines chemical potential as the partial derivative of Gibbs energy with respect to the quantity of the component, under constant temperature, pressure, and quantities of other components.
  • A follow-up question seeks clarification on what is meant by "component," particularly in the context of CO, and requests the chemical potential of N2 at ambient conditions.
  • One suggestion is to refer to the "Sackur Tetrode equation" for further insights.
  • Another participant reiterates the definition of chemical potential and mentions its applicability to both single and multi-component systems, emphasizing the relationship to Gibbs energy and ambient conditions.
  • A participant shares their perspective on chemical potential as a parameter for controlling particle numbers and notes its historical introduction in statistical mechanics.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and clarification regarding the definition and implications of chemical potential, but there is no consensus on specific values or calculations for the chemical potential of the mentioned gases.

Contextual Notes

Some definitions and concepts may depend on specific assumptions about the system, such as temperature and pressure conditions, which are not fully resolved in the discussion.

marie2010
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hi,
what is the chemical potential of N2, CO, or NH3 molecules in a gas phase? How to determine it?
Thanks.
 
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The chemical potential is defined usually by the partial derivative of Gibbs energy with respect to the qantity of the component, under the condition that the temperature, pressure and the quantities of other components are constant.
 
hi,
thanks for your answer. What do you mean by the component (especially in case of CO)? Also, so what would be the chemical potential of N2 at ambient conditions?
I appreciate your help.
 
Maybe looking up "Sackur Tetrode equation" might be helpful.
 
The definition I provided is the general definition in multi-component system. It of course serves the single component system. That is the increment of Gibbs energy brought about by increasing unit quantity of, e.g. CO. This definition of chemical potential can be found in any textbooks of thermodynamics. The ambient condition here corresponds to the constant temperature and pressure. For more, you can work it out on your own I think. Hope it help.
 
I regard chemical potential as a parameter to control the particle numbers. I hope the idea could help you. I remeber chemical potential was first introduced as lagrange mutiplyier in statistics mechanics.
 
Thanks for your explanation. They all help a lot!
 

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