Chemistry: The Science in Context (Fifth Edition)
Chemistry: The Science in Context (Fifth Edition)
5th Edition
ISBN: 9780393614046
Author: Thomas R. Gilbert, Rein V. Kirss, Natalie Foster, Stacey Lowery Bretz, Geoffrey Davies
Publisher: W. W. Norton & Company
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Chapter 18, Problem 18.62QP

(a)

Interpretation Introduction

Interpretation: The value of Eο for the given reaction and concentration of ClO3 is to be calculated.

Concept introduction: Nernst equation relates the cell potential of a half cell reaction to its standard potential and to the concentrations of its reactants and products.

To determine: The value of Eο for the given reaction.

(a)

Expert Solution
Check Mark

Answer to Problem 18.62QP

Solution

The value of Eο for the given reaction is -0.206V_ .

Explanation of Solution

Explanation

Chlorine dioxide ( ClO2 ) is produced by the following reaction of chlorate ( ClO3 ) with Cl in acid solution:

2ClO3(aq)+2Cl(aq)+4H+(aq)2ClO2(g)+Cl2(g)+2H2O(l)

The half cell reaction at cathode is,

ClO3(aq)+2H+(aq)+eClO2(g)+H2OEcathodeο=1.152V (1)

The half cell reaction at anode is,

Cl2(g)2Cl(aq)+2eEanodeο=1.3583V (2)

Multiply equation (1) by 2 to balance the electrons.

2ClO3(aq)+4H+(aq)+2e2ClO2(g)+2H2OEcathodeο=1.152V

The standard electrode potential ( Ecellο ) is calculated by the formula,

Ecellο=EcathodeοEanodeο

Substitute the value of Ecathodeο and Eanodeο in the above equation.

Ecellο=1.152V(1.3583V)=-0.206V_

(b)

Interpretation Introduction

To determine: The concentration of ClO3 .

(b)

Expert Solution
Check Mark

Answer to Problem 18.62QP

Solution

The concentration of ClO3 is 0.66×10-36M_ .

Explanation of Solution

Explanation

The ClO3 for the given reaction is calculated by the formula,

Ecell=Eο0.0592nlog(pClO2)2(pCl2)[H+]4[Cl]2[ClO3]2

Where,

  • n is number of electrons.
  • Ecell is the cell potential.

The value of n=2 .

The value of Ecell at equilibrium is zero.

The concentration values of reactants and products are as follows:

[H+]=[Cl]=10M

pClO2=2.0atm

pCl2=1.0atm

Substitute the value of n , Ecell and Eο and repective concentrations in the above formula.

0=0.206V0.05926log(2)2×1(10)4(10)2[ClO3]2[ClO3]=0.66×10-36M_

Therefore, the concentration of ClO3 is 0.66×10-36M_ .

Conclusion

The concentration of ClO3 is 0.66×10-36M_

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Chapter 18 Solutions

Chemistry: The Science in Context (Fifth Edition)

Ch. 18 - Prob. 18.3VPCh. 18 - Prob. 18.4VPCh. 18 - Prob. 18.5VPCh. 18 - Prob. 18.6VPCh. 18 - Prob. 18.7VPCh. 18 - Prob. 18.8VPCh. 18 - Prob. 18.9VPCh. 18 - Prob. 18.10VPCh. 18 - Prob. 18.11QPCh. 18 - Prob. 18.12QPCh. 18 - Prob. 18.13QPCh. 18 - Prob. 18.14QPCh. 18 - Prob. 18.15QPCh. 18 - Prob. 18.16QPCh. 18 - Prob. 18.17QPCh. 18 - Prob. 18.18QPCh. 18 - Prob. 18.19QPCh. 18 - Prob. 18.20QPCh. 18 - Prob. 18.21QPCh. 18 - Prob. 18.22QPCh. 18 - Prob. 18.23QPCh. 18 - Prob. 18.24QPCh. 18 - Prob. 18.25QPCh. 18 - Prob. 18.26QPCh. 18 - Prob. 18.27QPCh. 18 - Prob. 18.28QPCh. 18 - Prob. 18.29QPCh. 18 - Prob. 18.30QPCh. 18 - Prob. 18.31QPCh. 18 - Prob. 18.32QPCh. 18 - Prob. 18.33QPCh. 18 - Prob. 18.34QPCh. 18 - Prob. 18.35QPCh. 18 - Prob. 18.36QPCh. 18 - Prob. 18.37QPCh. 18 - Prob. 18.38QPCh. 18 - Prob. 18.39QPCh. 18 - Prob. 18.40QPCh. 18 - Prob. 18.41QPCh. 18 - Prob. 18.42QPCh. 18 - Prob. 18.43QPCh. 18 - Prob. 18.44QPCh. 18 - Prob. 18.45QPCh. 18 - Prob. 18.46QPCh. 18 - Prob. 18.47QPCh. 18 - Prob. 18.48QPCh. 18 - Prob. 18.49QPCh. 18 - Prob. 18.50QPCh. 18 - Prob. 18.51QPCh. 18 - Prob. 18.52QPCh. 18 - Prob. 18.53QPCh. 18 - Prob. 18.54QPCh. 18 - Prob. 18.55QPCh. 18 - Prob. 18.56QPCh. 18 - Prob. 18.57QPCh. 18 - Prob. 18.58QPCh. 18 - Prob. 18.59QPCh. 18 - Prob. 18.60QPCh. 18 - Prob. 18.61QPCh. 18 - Prob. 18.62QPCh. 18 - Prob. 18.63QPCh. 18 - Prob. 18.64QPCh. 18 - Prob. 18.65QPCh. 18 - Prob. 18.66QPCh. 18 - Prob. 18.67QPCh. 18 - Prob. 18.68QPCh. 18 - Prob. 18.69QPCh. 18 - Prob. 18.70QPCh. 18 - Prob. 18.71QPCh. 18 - Prob. 18.72QPCh. 18 - Prob. 18.73QPCh. 18 - Prob. 18.74QPCh. 18 - Prob. 18.75QPCh. 18 - Prob. 18.76QPCh. 18 - Prob. 18.77QPCh. 18 - Prob. 18.78QPCh. 18 - Prob. 18.79QPCh. 18 - Prob. 18.80QPCh. 18 - Prob. 18.81QPCh. 18 - Prob. 18.82QPCh. 18 - Prob. 18.83QPCh. 18 - Prob. 18.84QPCh. 18 - Prob. 18.85QPCh. 18 - Prob. 18.86QPCh. 18 - Prob. 18.87QPCh. 18 - Prob. 18.88QPCh. 18 - Prob. 18.89QPCh. 18 - Prob. 18.90QPCh. 18 - Prob. 18.91APCh. 18 - Prob. 18.92APCh. 18 - Prob. 18.93APCh. 18 - Prob. 18.94APCh. 18 - Prob. 18.95APCh. 18 - Prob. 18.96APCh. 18 - Prob. 18.97APCh. 18 - Prob. 18.98APCh. 18 - Prob. 18.99APCh. 18 - Prob. 18.100AP
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