Sciencemadness Discussion Board

Calculating electrical resistance of an aqueous solution?

Upsilon - 3-11-2015 at 14:02

I'm tired of using these wimpy half-amp power adapters for my electrolysis experiments, so I'm going to start using a 12V deep-cycle battery instead. I don't know how many amps it can put out, but I imagine it is at least 30 or so. Regardless I don't want it putting out its max amps for the experiment to preserve its lifetime. So, the question becomes, how can I calculate the electrical resistance of an aqueous solution where all parameters are known (the substance, its concentration, distance between electrodes, etc)? I want to know how to adjust these parameters in order to achieve a current of a few amps.

[Edited on 4-11-2015 by Upsilon]

battoussai114 - 3-11-2015 at 14:26

Use a multimeter to check for the resistance, probably easier than calculating.

Upsilon - 3-11-2015 at 14:42

Quote: Originally posted by battoussai114  
Use a multimeter to check for the resistance, probably easier than calculating.


Probably, but I'm still interested in knowing how to do something like this. Also, there are other benefits to calculating it, like knowing the exact concentration, electrode distance, etc. necessary as opposed to constantly tweaking them in a trial and error fashion.

[Edited on 3-11-2015 by Upsilon]

Aurium - 3-11-2015 at 14:59

An interesting question. (ultimately useless but still) :P

Well my idea on the processes involved is one of transport of the charged chemical species (ions) bumping into non charged species and losing momentum, reaching an equilibrium drift velocity.
How to calculate this drift velocity? In liquids I have no clue. I guess something to do with stochastic physics.

If you want to get to the answer, as in an actual value instead of an approximation based on some 1D model, you'll find necessary to use a simulation software, like comsol.
It's the best way to input all your electrode geometries etc etc, and let the program model it until it spits out a number for your resistance.

That 1D simplified model would be curious nonetheless.

phlogiston - 3-11-2015 at 15:26

It is great if you are simply interested in the theory behind it, but realistically trying to predict it with any accuracy for messy, practical cells used for synthesis in an amateur setting is going to be nearly impossible.

To regulate the current, changing the inter electrode distance is a good method. Lowering the distance between the electrodes reduces ohmic losses.

Look up molar conductivity to read more on the theory behind electrolyte conductivity.

[Edited on 3-11-2015 by phlogiston]

blogfast25 - 3-11-2015 at 16:06

Quote: Originally posted by battoussai114  
Use a multimeter to check for the resistance, probably easier than calculating.


It's really not that easy. Accurate measurements are made with AC, not DC, see e.g.:

http://web.mit.edu/dsadoway/www/83.pdf