Electrolysis System Work and Real Gas Law

[HelloCthulhu]

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!

 

[Bystander]

Work is still the integral of PdV. Anything in particular you're having trouble handling?

 

[HelloCthulhu]

Work is still the integral of PdV. Anything in particular you're having trouble handling?

I'm not sure how to solve for energy.

 

[HelloCthulhu]

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