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NEET CHEMISTRYElectrochemistryMedium

Question

Find the emf of the cell in which the following reaction takes place at 298 K298\text{ K}: Ni(s)+2Ag+(0.001 M)Ni2+(0.001 M)+2Ag(s)Ni(s) + 2Ag^+(0.001\text{ M}) \rightarrow Ni^{2+}(0.001\text{ M}) + 2Ag(s) (Given that Ecell=1.05 V;2.303RTF=0.059E^{\circ}_{cell} = 1.05\text{ V}; \frac{2.303RT}{F} = 0.059)

A

1.05 V

B

1.0385 V

C

1.385 V

D

0.9615 V

Step-by-Step Solution

For the given cell reaction: Ni(s)+2Ag+(aq)Ni2+(aq)+2Ag(s)Ni(s) + 2Ag^+(aq) \rightarrow Ni^{2+}(aq) + 2Ag(s) The number of electrons transferred, n=2n = 2.

According to the Nernst equation at 298 K298\text{ K}: Ecell=Ecell0.059nlog[Ni2+][Ag+]2E_{cell} = E^{\circ}_{cell} - \frac{0.059}{n} \log \frac{[Ni^{2+}]}{[Ag^+]^2}

Substituting the given values: Ecell=1.05 VE^{\circ}_{cell} = 1.05\text{ V} [Ni2+]=0.001 M=103 M[Ni^{2+}] = 0.001\text{ M} = 10^{-3}\text{ M} [Ag+]=0.001 M=103 M[Ag^+] = 0.001\text{ M} = 10^{-3}\text{ M} Ecell=1.050.0592log103(103)2E_{cell} = 1.05 - \frac{0.059}{2} \log \frac{10^{-3}}{(10^{-3})^2} Ecell=1.050.0295×log(103106)E_{cell} = 1.05 - 0.0295 \times \log \left(\frac{10^{-3}}{10^{-6}}\right) Ecell=1.050.0295×log(103)E_{cell} = 1.05 - 0.0295 \times \log (10^3) Ecell=1.050.0295×3E_{cell} = 1.05 - 0.0295 \times 3 Ecell=1.050.0885E_{cell} = 1.05 - 0.0885 Ecell=0.9615 VE_{cell} = 0.9615\text{ V}

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Electrochemistry. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYElectrochemistryfollowingreactionagtextrightarrownitext

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