Resistance of a solution between two electrodes

In summary, the resistance between two point electrodes in a complex cylindrical shaped beaker can be calculated using the equation R=ρL/A, but this only takes into account the fluid directly between the electrodes and not the remaining fluid in the beaker. The primary consideration for resistance is the shortest and most direct path between the electrodes. The ions in the fluid will drift towards one electrode or the other, and this can be further understood by researching the conductance of ions in solution. In practice, it is difficult to calculate the resistance due to the complex geometry, so precise conductometric experiments are often used to determine the cell constant.
  • #1
jagnala
1
0
I have a complex cylindrical shaped beaker with two point electrodes and wanted to calculated the resistance between them?

I know that:
R=ρL/A

But this equation only takes into account the fluid directly between the two electrode and not the remaining fluid in the breaker.

Thanks
 
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  • #2
Hi Jagnala
welcome to PF :smile:

I would suspect that the current is going to take the shortest (most direct) path between the 2 electrodes and therefore the resistance of the fluid between those points is the primary consideration.

lets see whay others have to say

cheers
Dave
 
  • #3
Well, there will ne an electrical field set up between the electrodesd and the ions will drift to one electrode or the other depending on the species.

Here is one take on the subject.
http://www.chem.ox.ac.uk/teaching/Physics%20for%20CHemists/Magnetism/Resistance.html [Broken]

Scroll down to the heading Conductance of Ions in Solution
 
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  • #4
Is this a theoretical question, or are you looking for a practical way of finding the result? Because of the geometry these things are difficult to calculate. That's why we start precise conductometric experiments by experimentally determining the cell constant (which is what you are looking for).
 
  • #5
for your question. The resistance of a solution between two electrodes can be affected by various factors, including the geometry of the electrodes and the properties of the solution itself. The equation you have mentioned, R=ρL/A, is known as the resistance formula and is commonly used to calculate the resistance of a conductor. However, as you have correctly pointed out, this equation does not take into account the remaining fluid in the beaker. In order to accurately calculate the resistance between the two electrodes, you may need to consider the overall geometry of the beaker and the properties of the solution, such as its conductivity and temperature. Additionally, the distance between the two electrodes and the placement of the electrodes within the solution may also play a role in the resistance. It may be helpful to consult a more comprehensive equation or conduct experiments to determine the exact resistance of your solution between the two electrodes.
 

1. What is the resistance of a solution between two electrodes?

The resistance of a solution between two electrodes is a measure of the difficulty for electric current to pass through the solution.

2. How is the resistance of a solution between two electrodes measured?

The resistance of a solution between two electrodes can be measured using an ohmmeter or by applying a known voltage and measuring the resulting current.

3. What factors affect the resistance of a solution between two electrodes?

The resistance of a solution between two electrodes is affected by the distance between the electrodes, the type and concentration of ions present in the solution, and the temperature of the solution.

4. How does temperature affect the resistance of a solution between two electrodes?

As the temperature of a solution increases, the resistance decreases due to the increased mobility of ions in the solution. This can lead to a more conductive solution.

5. What is the relationship between concentration of ions and resistance of a solution between two electrodes?

The resistance of a solution between two electrodes is inversely proportional to the concentration of ions in the solution. This means that as the concentration of ions increases, the resistance decreases and the solution becomes more conductive.

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