Redox potential (Using the Nernst Equation)

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Discussion Overview

The discussion revolves around calculating the concentrations of NAD+ and NADH using the Nernst equation, particularly under varying cellular redox potentials. The context includes theoretical and mathematical reasoning related to redox potentials in biological systems.

Discussion Character

  • Mathematical reasoning
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant presents a problem involving the redox midpoint potential of NAD+/NADH and seeks to determine the concentrations of [NAD+] and [NADH] under different redox potentials.
  • Another participant clarifies that "reduced/oxidized" refers to the concentration of the reduced form divided by the oxidized form.
  • Concerns are raised about obtaining extremely small numbers in calculations, prompting questions about potential errors in the application of the Nernst equation.
  • A participant questions the units being used for the constants R and F in the calculations.
  • Another participant notes that the expected result from the equation RT/nF should yield approximately 60 mV/n, but it does not match their findings.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the calculations and the interpretation of terms in the Nernst equation. There is no consensus on the correct approach or resolution of the problem presented.

Contextual Notes

Participants mention specific values and units for constants but do not resolve discrepancies in their calculations or assumptions about the system.

Gannon
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The redox midpoint potential (Eo’) of NAD+/NADH at pH 7.0 is -320 mV. If the total concentration of {[NAD+] + [NADH]} is 1.5 mM in cells, and the cellular redox potential is about -200 mV, what are the concentrations of [NAD+] and [NADH], respectively? Under certain oxidative stress conditions, the cellular redox potential is increased to -100 mV. What will be the concentrations of [NAD+] and [NADH] in this cell under the oxidative stress conditions? (Assume pH 7.0 is not changed under oxidative stress conditions).

Eh = Eo' - (RT/nF)ln(reduced/oxidized) but what does he mean by "oxidized," the molecule being oxidized (NADH) or what has been oxidized (NAD+)?

When I do this problem I keep getting an extremely small numbers that do me no good in the end; what am I doing wrong here? I'll just show the first part of the question (Eh = -200mV).

Eh = Eo' - (RT/nF)ln(reduced/oxidized)
Eh = -200E-3V, Eo' = -320E-3V
-200E-3V = -320E-3V - [(1.987E-3)(298)/(2)(23.1)]ln([red]/[ox])
120E-3V = (-0.01174)ln([red]/[ox])
-10.2 = ln([red]/[ox])
e^(-10.2) = [red]/[ox]
6.30957344E-11[ox] = [red]

[ox] + [red] = 1.5E-3M (total)
6.30957344E-11[ox] +[ox] = [red]
From here, because the coefficient for [ox] is so small I get [ox] = [red].

Any help is greatly appreciated!
 
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"reduced/oxidized" means the concentration of the reduced form of the ion or atom or specie divided by the oxidized form of the ion or atom or specie.
 
Gannon said:
The redox midpoint potential (Eo’) of NAD+/NADH at pH 7.0 is -320 mV. If the total concentration of {[NAD+] + [NADH]} is 1.5 mM in cells, and the cellular redox potential is about -200 mV, what are the concentrations of [NAD+] and [NADH], respectively? Under certain oxidative stress conditions, the cellular redox potential is increased to -100 mV. What will be the concentrations of [NAD+] and [NADH] in this cell under the oxidative stress conditions? (Assume pH 7.0 is not changed under oxidative stress conditions).

Eh = Eo' - (RT/nF)ln(reduced/oxidized) but what does he mean by "oxidized," the molecule being oxidized (NADH) or what has been oxidized (NAD+)?

When I do this problem I keep getting an extremely small numbers that do me no good in the end; what am I doing wrong here? I'll just show the first part of the question (Eh = -200mV).

Eh = Eo' - (RT/nF)ln(reduced/oxidized)
Eh = -200E-3V, Eo' = -320E-3V
-200E-3V = -320E-3V - [(1.987E-3)(298)/(2)(23.1)]ln([red]/[ox])
120E-3V = (-0.01174)ln([red]/[ox])
-10.2 = ln([red]/[ox])
e^(-10.2) = [red]/[ox]
6.30957344E-11[ox] = [red]

[ox] + [red] = 1.5E-3M (total)
6.30957344E-11[ox] +[ox] = [red]
From here, because the coefficient for [ox] is so small I get [ox] = [red].

Any help is greatly appreciated!

What units are you using for R and F?
 
R is 1.987E -3 kcal/mol/degree; F is 23.1 kcal/V/mol.
 
RT/nF should give about 60 mV/n, it doesn't.
 

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