Electrolysis System Work and Real Gas Law

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Discussion Overview

The discussion revolves around calculating the system work involved in the electrolysis of water, specifically comparing the Ideal Gas Law with the Real Gas Law. Participants explore the theoretical and practical implications of these laws in the context of electrolysis.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant presents a calculation of system work using the Ideal Gas Law and seeks assistance in applying the Real Gas Law for the same purpose.
  • Another participant reiterates that work is calculated as the integral of PdV, asking if there are specific difficulties the original poster is encountering.
  • A later reply expresses uncertainty about how to incorporate the Real Gas Law into the calculation of system work during water electrolysis, indicating a potential progression towards a solution.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are varying levels of understanding and application of the Real Gas Law in this context. The discussion remains unresolved regarding the specific incorporation of the Real Gas Law into the calculations.

Contextual Notes

Limitations include the potential complexity of integrating the Real Gas Law into the work calculation, as well as the need for clarity on specific variables and conditions that may affect the calculations.

HelloCthulhu
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Greetings Everyone!

I read a very good thread regarding how Ideal Gas Law is used to calculate system work for the electrolysis of water:

W = PΔV = (101.3 x 103 Pa)(1.5 moles)(-22.4 x 10-3 m3/mol)(298K/273K) = -3715 J

https://www.physicsforums.com/threads/work-of-electrolysis-of-water.756240/

I'm trying to figure out how to calculate the system work using Real Gas Law:

http://pages.towson.edu/ladon/image/gaseq36.jpg

The image is from this link: http://pages.towson.edu/ladon/gases.html

Any help is greatly appreciated!
 
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Work is still the integral of PdV. Anything in particular you're having trouble handling?
 
Bystander said:
Work is still the integral of PdV. Anything in particular you're having trouble handling?

I'm not sure how to solve for energy.
 
I apologize. I meant I'm not sure how to incorporate real gas law into solving for system work during water electrolysis. I think I may be closer to a solution though.

http://chemistry.illinoisstate.edu/standard/che360/homework/360ps3solns.pdf

https://www.csun.edu/~jeloranta/CHEM351/example2.pdf
 

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