Calculating Cell Potential Using Nernst Equation for Ag+ Voltaic Cell

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Discussion Overview

The discussion revolves around the application of the Nernst equation to calculate the cell potential for a voltaic cell involving silver ions (Ag+) and copper. Participants explore the definitions and calculations related to standard and non-standard cell potentials, as well as the correct interpretation of variables in the Nernst equation.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant describes a homework problem involving the Nernst equation to determine the cell potential for a voltaic cell with a copper anode and silver cathode, noting the concentrations of the solutions used.
  • The participant expresses uncertainty about the meanings of terms in the Nernst equation and whether they should solve for E^{o}_{cell} or E_{cell}.
  • Another participant suggests that the focus should be on calculating E_{cell} for the silver half-cell and indicates that E^{o}_{cell} can be obtained from standard potential tables.
  • There is a discussion about the value of n, with one participant initially misunderstanding it as the total moles of electrons transferred from both half-reactions, while another clarifies that n should represent the moles of electrons transferred in the half-cell reaction.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct interpretation of n in the context of the Nernst equation, and there is ongoing uncertainty regarding the calculations for E^{o}_{cell} and E_{cell}.

Contextual Notes

There are limitations in the discussion regarding the definitions of terms in the Nernst equation and the assumptions made about the reactions involved. The calculations presented are dependent on these definitions and the specific conditions of the experiment.

pzona
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This problem is homework from a lab I did yesterday. Normally I would just ask my TA, but since it's homework I can't. I could email him, but I feel like I'll probably get a faster response if I post this here

Homework Statement


Use the Nernst equation to determine the cell potential for the cell involving Ag+. This is from a voltaic cell I made using a copper anode and CuSO4 solution and a silver cathode and AgNO3, with a KNO3 solution as a salt bridge. I used a multimeter to calculate the cell potentials for other cells I built (using other metal cathodes and relevant solutions) because their concentrations were 1M, standard conditions. The AgNO3 was 0.1M so I need to use the Nernst equation to calculate cell potential (assuming all other factors, ex. temperature were standard).

Measured potential for the cell: -0.390V
Given oxidation potential for the copper half reaction: +0.34V


Homework Equations


The Nernst Equation:

E_{cell} = E^{o}_{cell} + 0.0592V(mol)/n * log_{10}Q

Half reaction at the cathode:

Ag+(aq) + e- -> Ag(s), since [Ag+] = 0.1M, Q and n will both be 0.1

The Attempt at a Solution


Honestly, this comes down to me not understanding what the terms mean. I just started electrochemistry and I haven't been able to find a decent explanation of the terms online.

I'm not sure whether I need to solve for E^{o}_{cell} (I did and got -0.982V) or E_{cell} (I got +0.202V). Solving for E^{o}_{cell} makes more sense, given my answer, since I know that silver is a poor reducing agent. It should give a negative answer of fairly high magnitude in relation to the other cells, which it did.

Basically what I'm asking is, E^{o}_{cell} is the quantity I'm looking for...right? Is E_{cell} the measured potential for a cell under non-standard conditions? Also, is my answer for E^{o}_{cell} of a reasonable magnitude? Thanks.

EDIT: Looks like my subscripts were messed up somehow. I'm pretty sure you'll be able to figure out what I meant though.
 
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No, you are looking for Ecell of a silver half cell. E0cell you can take from standard potential tables.

Q is 0.1, that's OK, but n is not.

Once you have Ecell of silver half cell, you can calculate E for whole cell.

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methods
 
Okay, so for the whole cell, n would be 1.1 mol then? My lab manual says that n is the total amount (in moles) of electrons transferred, so I just add the 0.1 to the 1 from the CuSO4, correct?
 
No, n is amount of electrons transferred in the half cell reaction. It is always an integer.

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Ah okay, looking back on it that makes a lot more sense than what I have. Thanks a lot for the help.
 

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