1.

Give Nernst equation for following reaction M_((aq))^(n+)+n e^(-)to M_((S))

Answer»

Solution :* It is assumed that the concentration of all the species involved in the electrode reaction is unity. This need not be ALWAYS true.
* Nernst showed that for the electrode reaction:
`M_((aq))^(n+)+n E^(-) to M_((S))`
* The electrode potential at any concentration MEASURED with respect to STANDARD hydrogen electrode can be represented by:
`E_(("M^(n+)|M))=E_((M^(n+)|M))^(Theta)-(RT)/(nF)LN([M])/([M^(n+)])`
* But concentration of solid M is taken as unity and we have
`E_((M^(n+)|M))=E_((M^(n+)|M))^(Theta)-(RT)/(nF)ln([1])/([M^(n+)])`
Where, n=number of electrons taking part in the reaction .
`E_((M^(n+)|M))`=potential of electrode at non standard concentration.
`E_((M^(n+)|M))^(Theta)`=standard reduction potential of electrode.
R=Gas constant=`8.314KJ^(-1)" "mol^(-1)`
F=Feraday constant=96487 and
T=TemperatureinKelvin
`[M^(n+)]`=Concentration of species `M^(n+)` in molarity.


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