આપેલા કોષ \(Zn(s)|\,Z{n^{2 + }}(aq)\,||\,{M^x}\, + \,(aq)|\,M(s),\) માટે જુદા-જુદા અર્ધકોષો અને તેમના પ્રમાણિત ધ્રુવ પોટેન્શિય નીચે મુજબ છે.

\(M^{x+}\, (aq)\,/M(s)\) \(A{u^{3 + }}(aq)/\) \(Au(s)\) \(A{g^ + }(aq)/\) \(Ag(s)\) \(F{e^{3 + }}(aq)/\) \(F{e^{2 + }}(aq)\) \(F{e^{2 + }}(aq)/\) \(Fe(s)\)

\(E^o\,M^{x+}\) \(\,/M(V)\) \(1.40\) \(0.80\) \(0.77\) \(-0.44\)

જો \(E_{Z{n^{2 + }}/Zn}^o = - 0.76\,V,\) હોય તો, ક્યો કેથોડ પ્રતિ ઇલેક્ટ્રોન ફેરફાર માટે \(E_{cell}^o\) નું મહત્તમ મૂલ્ય આપશે

A \(Ag^+\,/\,Ag\)
B \(Fe^{3+}\,/\,Fe^{2+}\)
C \(Au^{3+}\,/\,Au\)
D \(Fe^{2+}\,/\,Fe\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(Au^{3+}\,/\,Au\)

Step-by-step Solution

Detailed explanation

\(E_{cell}^o{\kern 1pt} = E_{Cathode}^o\, - \,E_{Z{n^{2 + }}/Zn}^o\) Since \(Au^{3+} \to Au\) has maximum value.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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\(M^{x+}\, (aq)\,/M(s)\)	\(A{u^{3 + }}(aq)/\) \(Au(s)\)	\(A{g^ + }(aq)/\) \(Ag(s)\)	\(F{e^{3 + }}(aq)/\) \(F{e^{2 + }}(aq)\)	\(F{e^{2 + }}(aq)/\) \(Fe(s)\)
\(E^o\,M^{x+}\) \(\,/M(V)\)	\(1.40\)	\(0.80\)	\(0.77\)	\(-0.44\)