Q. Standard electrode potentials for a few half cells are mentioned below : $E^\circ_{Cu^{2+}/Cu}=0.34$ V, $E^\circ_{Zn^{2+}/Zn}=-0.76$ V, $E^\circ_{Ag^+/Ag}=0.80$ V, $E^\circ_{Mg^{2+}/Mg}=-2.37$ V. Which one of the following cells gives the most negative value of $\Delta G^\circ$ ?

A) Zn | Zn²⁺(1M) || Ag⁺(1M) | Ag
B) Zn | Zn²⁺(1M) || Mg²⁺(1M) | Mg
C) Ag | Ag⁺(1M) || Mg²⁺(1M) | Mg
D) Cu | Cu²⁺(1M) || Ag⁺(1M) | Ag
Explanation

[Solution by Dr. Abubacker] $\Delta G^\circ=-nFE^\circ_{cell}$, so the most negative $\Delta G^\circ$ belongs to the largest $E^\circ_{cell}$. (1) $0.80+0.76=1.56$ V; (2) $-2.37+0.76=-1.61$ V; (3) $-2.37-0.80=-3.17$ V; (4) $0.80-0.34=0.46$ V. Cell (1) is the largest. Answer (1).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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