Relationship between cell potential and concentration

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SUMMARY

The forum discussion centers on deriving a unified equation to describe the relationship between cell potential and ion concentration in electrochemical cells, specifically using silver (Ag) and zinc (Zn) as electrodes against copper (Cu) concentration. The derived equations are: for Ag vs. Cu concentration, y = -0.04520x + 0.5515, and for Zn vs. Cu concentration, y = 0.03720x + 0.7855. The user seeks assistance in combining these equations and suggests exploring the logarithmic relationship of concentration for improved accuracy.

PREREQUISITES
  • Understanding of electrochemical cells and their components
  • Familiarity with linear regression and deriving equations from data
  • Knowledge of the Nernst equation and its application in electrochemistry
  • Basic skills in graphing and interpreting lines of best fit
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  • Research how to combine multiple linear equations into a single equation
  • Explore the Nernst equation for calculating cell potential based on concentration
  • Investigate the effects of logarithmic transformations on concentration data
  • Learn about electrochemical cell design and factors affecting cell potential
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Students and researchers in chemistry, particularly those studying electrochemistry, as well as educators looking to enhance their understanding of the relationship between cell potential and ion concentration.

Westlund2
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I did a lab using an electrochemical cell to establish a relationship between cell potential and concentration. I derived two equations from lines of best fit. One is Cell potential of Ag vs. Cu Concentration: y = -0.04520x+0.5515. The other is cell potential of Zn vs. Cu concentration: y = 0.03720x+0.7855.

Now I am supposed to derive a single equation from these two, to describe how the measured cell potential varies depending on the concentration of ions in the cathode half-cell and the concentration of ions in the anode half-cell.

Can someone give me an idea or help me out?
 
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Have you tried if log(concentration) doesn't give better results?
 

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