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← JEE Main 2022 · 29 Jul · Shift 2
ChemistryInteger+4 / -1Question 84 of 90

JEE Main 2022 · 29 Jul · Shift 2, Chemistry question 84

For a cell, Cu(s) | Cu2+^{2+}(0.001 M) || Ag+^+ (0.01 M) | Ag (s) the cell potential is found to be 0.43 V at 298 K. The magnitude of standard electrode potential for Cu2+^{2+}/Cu is _______ ×10−2\times10^{-2} V.

[Given : EAg+/Ag⊖E^\ominus_{\mathrm{Ag^+/Ag}} = 0.80 V and 2.303RTF\dfrac{2.303RT}F = 0.06 V]

Answer and worked solution

Official answer: 34

Nernst. E=E∘−0.062log⁡[Cu2+][Ag+]2=E∘−0.03log⁡10=E∘−0.03E=E^\circ-\dfrac{0.06}2\log\dfrac{[\mathrm{Cu^{2+}}]}{[\mathrm{Ag^+}]^2}=E^\circ-0.03\log10=E^\circ-0.03, so Ecell∘=0.46E^\circ_{cell}=0.46 V.

Copper E∘=0.80−0.46=0.34E^\circ=0.80-0.46=0.34 V =34×10−2=34\times10^{-2}.

Answer: 34