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Question

Question: Mark the correct relationship from the following....

Mark the correct relationship from the following.

A

Equilibrium constant is related to emf as

logK=nFE2.303RT\log K = \frac{nFE}{2.303RT}

B

EMF of a cell ZnZn2+(a1)Cu2+(a2)CuisZn|Z{n^{2 +}}_{(a_{1})}||C{u^{2 +}}_{(a_{2})}|Cuis

E=Eº0.591nlog[a2][a1]E = Eº - \frac{0.591}{n}\log\frac{\lbrack a_{2}\rbrack}{\lbrack a_{1}\rbrack}

C

Nernst equation is

Ecell=EºCell0.0591nlog[Products][Reactants]E_{cell} = Eº_{Cell} - \frac{0.0591}{n}\log\frac{\lbrack\Pr oducts\rbrack}{\lbrack{Re}ac\tan ts\rbrack}

D

For the electrode Mn+.MM^{n +}.M at 273 k

E=Eº+0.591nlog[Mn+]E = Eº + \frac{0.591}{n}\log\lbrack M^{n +}\rbrack

Answer

Nernst equation is

Ecell=EºCell0.0591nlog[Products][Reactants]E_{cell} = Eº_{Cell} - \frac{0.0591}{n}\log\frac{\lbrack\Pr oducts\rbrack}{\lbrack{Re}ac\tan ts\rbrack}

Explanation

Solution

(1) logK=nFEºCell2.303RT\log K = \frac{nFEº_{Cell}}{2.303RT}

(2) Ecell=Eºcell0.05912log[a1][a2]E_{cell} = Eº_{cell} - \frac{0.0591}{2}\log\frac{\lbrack a_{1}\rbrack}{\lbrack a_{2}\rbrack}

(4) Expression is valid at 298 K, not at 273 K.