EBK EXPLORING CHEMICAL ANALYSIS
EBK EXPLORING CHEMICAL ANALYSIS
5th Edition
ISBN: 9781319416942
Author: Harris
Publisher: VST
Question
Book Icon
Chapter 14, Problem 14.10P

(a)

Interpretation Introduction

Interpretation:

Cell voltage from below half reaction has to be calculated.

  AgCl+2e2Ag+2ClPbF2+2ePb+2F

Concept Introduction:

Expression of Nernst equation at room temperature is as follows:

  Ecell=Ecell00.0591nlog(Q)

Here,

Ecell is the cell potential.

Ecell0 is the standard cell potential.

n is total electrons transferred.

Q is reaction quotient.

(a)

Expert Solution
Check Mark

Answer to Problem 14.10P

Cell voltage for complete reaction is 0.572V.

Explanation of Solution

The half cell reaction at cathode is as follows:

  AgCl+2e2Ag+2Cl

Expression of Nernst equation for above net reaction of electrochemical cell at room temperature is as follows:

  (Ecell)Cathode=Ecell00.0591nlog[Cl]2        (1)

Substitute 0.222V for Ecell0, 2 for n and 0.10M for [Cl] in equation (1).

  (Ecell)Cathode=(0.222V)0.05912log(0.10M)2=0.2816V

The half cell reaction at anode is as follows:

  PbF2+2ePb+2F

Expression of Nernst equation for above net reaction of electrochemical cell at room temperature is as follows:

  (Ecell)Anode=Ecell00.0591nlog[F]2        (2)

Substitute 0.350V for Ecell0, 2 for n and 0.10M for [F] in equation (2).

  (Ecell)Anode=(0.350V)0.05912log(0.10M)2=0.29084V

E°cell for complete cell is calculated as follows:

  Ecell=(Ecell)Cathode(Ecell)Anode=0.2816V(0.29084V)=0.572V

Hence, cell voltage for complete reaction is 0.572V.

(b)

Interpretation Introduction

Interpretation:

Cell voltage from below half reaction has to be calculated.

  2Ag+2Ag+2ePb2+Pb+2e

Concept Introduction:

Refer to part (a).

(b)

Expert Solution
Check Mark

Answer to Problem 14.10P

Cell voltage for complete reaction is 0.569V.

Explanation of Solution

Concentration of Ag+ is calculated as follows:

  [Ag+]=Ksp[Cl]=1.8×10100.10=1.8×109

Concentration of Pb2+ is calculated as follows:

  [Pb2+]=Ksp[Cl]2=3.6×108(0.10)2=3.60×106

The half cell reaction at cathode is as follows:

  2Ag+2Ag+2e

Expression of Nernst equation for above net reaction of electrochemical cell at room temperature is as follows:

  (Ecell)Cathode=Ecell00.0591nlog(1[Ag+]2)        (3)

Substitute 0.799V for Ecell0, 2 for n and 1.8×109 for [Ag+] in equation (3).

  (Ecell)Cathode=(0.799V)0.05912llog(1(1.8×109)2)=0.282V

The half cell reaction at anode is as follows:

  Pb2+Pb+2e

Expression of Nernst equation for above net reaction of electrochemical cell at room temperature is as follows:

  (Ecell)Anode=Ecell00.0591nlog(1[Pb2+])        (4)

Substitute 0.126V for Ecell0, 2 for n and 3.60×106 for [Pb2+] in equation (4).

  (Ecell)Anode=(0.126V)0.05912log(13.60×106)=0.287V

E°cell for complete cell is calculated as follows:

  Ecell=(Ecell)Cathode(Ecell)Anode=0.282V(0.287V)=0.569V

Hence, cell voltage for complete reaction is 0.569V.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY