What is the relationship between the standard cell potentials E^∘, for the following two galvani

Name: Problem 125, Chapter 6: Physical Chemistry for IIT JEE
Uploaded: 2022-03-16T10:39:06-08:00
Duration: 2 min 36 s
Channel: Himanshu Kushwaha
Description: What is the relationship between the standard cell potentials E^∘, for the following two galvanic cell reactions? (I) 2 Ag^+(aq)+Sn^2+(aq) →Sn^4+(aq)+2 Ag(s) (II) Ag(s)+1 / 2 Sn^4+(aq) →1 / 2 Sn^2+(aq)+Ag^+(aq) a. E^∘(I)=2 E^∘(II) b. E^∘(I)=E^∘(II) c. E^∘(I)=-2 E^∘(II) d. E^∘(I)=-E^∘(II)

step 1 In this question we have been giving two cell reactions and the first cell reaction is two moles

Question

What is the relationship between the standard cell potentials $\mathrm{E}^{\circ}$, for the following two galvanic cell reactions? (I) $2 \mathrm{Ag}^{+}(\mathrm{aq})+\mathrm{Sn}^{2+}(\mathrm{aq}) \rightarrow \mathrm{Sn}^{4+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})$ (II) $\mathrm{Ag}(\mathrm{s})+1 / 2 \mathrm{Sn}^{4+}(\mathrm{aq}) \rightarrow 1 / 2 \mathrm{Sn}^{2+}(\mathrm{aq})+\mathrm{Ag}^{+}(\mathrm{aq})$ a. $\mathrm{E}^{\circ}(\mathrm{I})=2 \mathrm{E}^{\circ}(\mathrm{II})$ b. $\mathrm{E}^{\circ}(\mathrm{I})=\mathrm{E}^{\circ}(\mathrm{II})$ c. $\mathrm{E}^{\circ}(\mathrm{I})=-2 \mathrm{E}^{\circ}(\mathrm{II})$ d. $\mathrm{E}^{\circ}(\mathrm{I})=-\mathrm{E}^{\circ}(\mathrm{II})$

   What is the relationship between the standard cell potentials $\mathrm{E}^{\circ}$, for the following two galvanic cell reactions?
(I) $2 \mathrm{Ag}^{+}(\mathrm{aq})+\mathrm{Sn}^{2+}(\mathrm{aq}) \rightarrow \mathrm{Sn}^{4+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})$
(II) $\mathrm{Ag}(\mathrm{s})+1 / 2 \mathrm{Sn}^{4+}(\mathrm{aq}) \rightarrow 1 / 2 \mathrm{Sn}^{2+}(\mathrm{aq})+\mathrm{Ag}^{+}(\mathrm{aq})$
a. $\mathrm{E}^{\circ}(\mathrm{I})=2 \mathrm{E}^{\circ}(\mathrm{II})$
b. $\mathrm{E}^{\circ}(\mathrm{I})=\mathrm{E}^{\circ}(\mathrm{II})$
c. $\mathrm{E}^{\circ}(\mathrm{I})=-2 \mathrm{E}^{\circ}(\mathrm{II})$
d. $\mathrm{E}^{\circ}(\mathrm{I})=-\mathrm{E}^{\circ}(\mathrm{II})$

Physical Chemistry for IIT JEE

Atul Singha 1st Edition

Chapter 6, Problem 125

Instant Answer

Solved by Expert Himanshu Kushwaha

03/16/2022

Step 1

The first reaction is: \[2 \mathrm{Ag}^{+}(\mathrm{aq})+\mathrm{Sn}^{2+}(\mathrm{aq}) \rightarrow \mathrm{Sn}^{4+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})\] And the second reaction is: \[\mathrm{Ag}(\mathrm{s})+1 / 2 \mathrm{Sn}^{4+}(\mathrm{aq}) \rightarrow 1 / 2 Show more…

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What is the relationship between the standard cell potentials $\mathrm{E}^{\circ}$, for the following two galvanic cell reactions? (I) $2 \mathrm{Ag}^{+}(\mathrm{aq})+\mathrm{Sn}^{2+}(\mathrm{aq}) \rightarrow \mathrm{Sn}^{4+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})$ (II) $\mathrm{Ag}(\mathrm{s})+1 / 2 \mathrm{Sn}^{4+}(\mathrm{aq}) \rightarrow 1 / 2 \mathrm{Sn}^{2+}(\mathrm{aq})+\mathrm{Ag}^{+}(\mathrm{aq})$ a. $\mathrm{E}^{\circ}(\mathrm{I})=2 \mathrm{E}^{\circ}(\mathrm{II})$ b. $\mathrm{E}^{\circ}(\mathrm{I})=\mathrm{E}^{\circ}(\mathrm{II})$ c. $\mathrm{E}^{\circ}(\mathrm{I})=-2 \mathrm{E}^{\circ}(\mathrm{II})$ d. $\mathrm{E}^{\circ}(\mathrm{I})=-\mathrm{E}^{\circ}(\mathrm{II})$

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Key Concepts

Standard Electrode (Cell) Potentials

Standard cell potentials represent the voltage difference between two electrodes under standard conditions. They are used to assess the driving force behind electrochemical reactions, and because they are intrinsic to the reaction, they are independent of reaction stoichiometry.

Intensive Nature of Electrode Potentials

Standard electrode potentials are intensive properties, which means they do not change with the multiplication of the balanced equation. Even when the coefficients in a chemical reaction are altered to balance the reaction, the standard electrode potentials remain the same.

Reversal of Electrochemical Reactions

Reversing an electrochemical reaction results in the inversion of the sign of the electrode potential, while the magnitude of the potential remains unchanged. This principle is critical when comparing a reaction to its reverse.

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