macroscopic material balance for a multicomponent system from the microscopic balance

[agustinlave]

Hi!

I don't know if anyone can help me but I've been trying to find the deduction of the macroscopic material balance for a multicomponent system from the microscopic balance (continuity equation) but I wasn't lucky enought. I manage to find both balances but I don't know how to derivate one (macro) from the other (micro).

If anyone have any clue I will be so grateful.

Thanks in advance!

 

[agustinlave]

and here is the macroscopic balance which I'm trying to deduce from the micro

 

[Latexman]

agustinlave,

This seems more like an academic exercise than a real world problem faced by a practicing ChE. Is it for school?

Good luck,
Latexman

To a ChE, the glass is always full - 1/2 air and 1/2 water.

 

[agustinlave]

Hi Latexman,

Thanks for your answer. The question might not fit here but it's not for the school . I'm currently working on a design related to mass transfer and I need to understand first how to get to the macroscopic balance.

It's more a mathematical issue than a ChE stuff. Anyways if anyone can help me it would be amazing!

Best, Agustín.

 

[Latexman]

Maybe you should broaden your knowledge on material balances by researching approaches other than the reference you showed. A different approach used by other textbooks/references may just spark the solution in your mind. I learned material balances from Felder and Rousseau's Elementary Principles of Chemical Processes. There must be dozen's more.

Good luck,
Latexman

To a ChE, the glass is always full - 1/2 air and 1/2 water.