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Question: Given below are few reactions with some expressions. Mark the expression which is not correctly matc...

Given below are few reactions with some expressions. Mark the expression which is not correctly matched.

A

For concentration cell,

AgAg+(C1)Ag+(C2)Ag;Ecell=0.05911logC1C2Ag|Ag^{+}(C_{1})||Ag^{+}(C_{2})|Ag;E_{cell} = - \frac{0.0591}{1}\log\frac{C_{1}}{C_{2}}

B

For the cell2Ag++H2(1atm)2Ag+2H+(1M);2Ag^{+} + H_{2}(1atm) \rightarrow 2Ag + 2H^{+}(1M);

Ecell=EºCell0.05912log[Ag+]2[H+]2E_{cell} = Eº_{Cell} - \frac{0.0591}{2}\log\frac{\lbrack Ag^{+}\rbrack^{2}}{\lbrack H^{+}\rbrack^{2}}

C

For an electrochemical reaction at equilibrium

aA+bBaA + bB cC + dD ;

Eºcell=0.0591nlog[C]c[D]d[A]a[B]bEº_{cell} = \frac{0.0591}{n}\log\frac{\lbrack C\rbrack^{c}\lbrack D\rbrack^{d}}{\lbrack A\rbrack^{a}\lbrack B\rbrack^{b}}

D

For the cell M(aq)n++neM(s)M_{(aq)}^{n +} + ne^{-} \rightarrow M_{(s)}

Ecell=Eº0.0591nlog1[Mn+]E_{cell} = Eº - \frac{0.0591}{n}\log\frac{1}{\lbrack M^{n +}\rbrack}

Answer

For the cell2Ag++H2(1atm)2Ag+2H+(1M);2Ag^{+} + H_{2}(1atm) \rightarrow 2Ag + 2H^{+}(1M);

Ecell=EºCell0.05912log[Ag+]2[H+]2E_{cell} = Eº_{Cell} - \frac{0.0591}{2}\log\frac{\lbrack Ag^{+}\rbrack^{2}}{\lbrack H^{+}\rbrack^{2}}

Explanation

Solution

For 2Ag++H2(1atm)2Ag+2H+(1M)2Ag^{+} + H_{2}(1atm) \rightarrow 2Ag + 2H^{+}(1M)

Ecell=Eºcell0.05912log[H+]2[Ag+]2E_{cell} = Eº_{cell} - \frac{0.0591}{2}\log\frac{\lbrack H^{+}\rbrack^{2}}{\lbrack Ag^{+}\rbrack^{2}}