Electrochemistry homework help problem

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Discussion Overview

The discussion revolves around a homework problem involving the electrochemical cell composed of the Tl+/Tl couple and the Pb2+/Pb couple. Participants are tasked with calculating the solubility product constant (Ksp) of TlBr based on given potentials and concentrations. The conversation includes attempts to understand the implications of the cell potential and the relationships between the various components of the electrochemical system.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about the homework question and seeks clarification on the electrochemical setup.
  • Another participant explains that the cell consists of two half-cells and that the concentration of Tl+ is needed to calculate Ksp.
  • Concerns are raised about the meaning of the given cell potential of -0.443V and its implications for spontaneity and the identification of cathode and anode.
  • Participants discuss the equation for Ecell and the role of the concentrations of the ions involved.
  • There is a suggestion that the concentration of Tl+ produced from TlBr can be represented as x moles, leading to a proposed equation for Ksp.
  • One participant calculates a value for Ksp but questions its correctness, indicating a discrepancy with expected results.
  • Another participant suggests that the ionic strength of the solution might need to be considered in the calculations.
  • Disagreement arises regarding the calculated Ksp values, with one participant asserting their answer differs significantly from a provided answer.

Areas of Agreement / Disagreement

Participants express differing views on the correctness of calculated Ksp values, with no consensus reached on the appropriate method or final answer. Some participants agree on the approach to the problem, while others challenge the results and assumptions made.

Contextual Notes

Participants note potential limitations in their calculations, including the assumption regarding the concentration of Tl+ and the possible need to account for ionic strength. There is also uncertainty regarding the interpretation of the cell potential and its impact on the calculations.

Who May Find This Useful

This discussion may be useful for students studying electrochemistry, particularly those working on problems involving solubility products and electrochemical cells.

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Homework Statement



Tl+/Tl couple can be prepared by saturating 0.100 M KBr with TlBr and alowing Tl+ ions from the insoluble bromide to equilibrate. This couple was observed to have a potential of -0.443V w.r.t Pb2+/Pb couple in which Pb2+ was 1 M. Ksp of TlBr is ?

Given: EoPb2+/Pb = -0.126V and EoTl+/Tl= -0.336V


The Attempt at a Solution



I have a problem understanding the question. Can somebody explain me?
 
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You have a cell made of two half cells - one is Pb/Pb2+, the other Tl/Tl+. You are given everything but [Tl+], and that's the only thing you need to calculate to find Ksp of TlBr.
 


The potential -0.443V given in the question confuses me. It simply means that the cell reaction is not spontaneous. Which one is cathode and which one is anode?

We have Ecell = -0.443V and Eocell = -0.21 (if we assume Tl+/Tl is the cathode)

Is this right?
 


To be honest - I am not sure which way it goes off the top of my head, but if you take the sign wrong, you will get absurd results.

You will need E0 for Pb/Pb2+ as well.
 


Cathode- Tl+ + e ----> Tl
Anode- Pb------> Pb2+ + 2e

Ecell = Eocell - 0.059/2*log[Pb2+/[Tl+]2]

We have Pb2+=1M
What is the use of 0.1M KBr?

E0 for Pb/Pb2+ is given in the question.
 


Abdul Quadeer said:
What is the use of 0.1M KBr?

Have you read the question?
 


I read it but did not understand fully.
Br- concentration is 0.1M

Let us assume that Tl+ produced from TlBr is x moles
Ksp = x(0.1+x)

How to find 'x'?
 


Abdul Quadeer said:
Br- concentration is 0.1M

Right.

Let us assume that Tl+ produced from TlBr is x moles
Ksp = x(0.1+x)

How to find 'x'?

From the cell potential. It will be so low you can easily ignore x in 0.1+x part.
 


Borek said:
From the cell potential. It will be so low you can easily ignore x in 0.1+x part.

Plugging the values in the equation in my post #5, I got x as 1.124 x 10-4
So Ksp = 1.124 x 10-5. This is not the correct answer.
 
  • #10


Thallium chemistry.

Prof. is showing off? :biggrin:
 
Last edited:
  • #11


epenguin said:
Thallium chemistry.

Prof. is showing off?

:biggrin:

@Borek- where is the mistake?
 
  • #12


Your Ksp looks OK to me, unless you are expected to take ionic strength of the solution into account.
 
  • #13


I just have the answer for it.
3.6 x 10-6
There is a big difference.
I think the answer given is incorrect.
 
Last edited:
  • #14


No my fault. I know answer calculated is different from the Ksp value from tables, but as far as I can tell data given yields 1.12e-5.
 

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