Use the standard reduction potentials to find the equilibrium constant for each of the following reactions at
Interpretation:
The equilibrium constant for each of the given chemical reactions is to be determined.
Concept introduction:
The standard cell potential of a particular cell is given as:
Here,
The relation between the cell potential
Here,
Answer to Problem 23QP
Solution:
(a)
(b)
(c)
Explanation of Solution
a)
This reaction can be written as two half-reactions, as shown below:
From table 19.1, the reduction potential of bromine is
The standard cell potential of the cell is given by the expression shown below:
Substitute the values:
Now, the relation between the cell potential
Here, the number of exchange of electrons is two;
Thus, the value of
Substitute the values of
Thus, the equilibrium constant of this reaction is
b)
This reaction can be written as two half-reactions, as shown below:
Fromtable 19.1, the reduction potential of cerium is
Now, the standard cell potential of a cell is given by the expression shown below:
Substitute the values of half-cell potentials to the above expression,
Now, the relation between the cell potential
Here, the number of exchange of electrons is two;
Thus, the value of
Substitute the values of
Thus, the equilibrium constant of this reaction is
c)
This reaction can be written as two halves reactions as follows:
From table 19.1, the reduction potential of manganese is
Now, the standard cell potential of a cell is given by the expression shown below:
Substitute the values of half-cell potential in the above expression,
Now, the relation between the cell potential
Here, the number of exchange of electrons is five;
Thus, the value of
Substitute the values of
Thus, the equilibrium constant of this reaction is
Want to see more full solutions like this?
Chapter 19 Solutions
CHEMISTRY(LOOSELEAF W/CODE)- CUSTOM
- a Calculate the equilibrium constant for the following reaction at 25C. Sn(s)+Pb2+(aq)Sn2+(aq)+Pb(s) The standard cell potential of the corresponding voltaic cell is 0.010 V. b If an excess of tin metal is added to 1.0 M Pb2+, what is the concentration of Pb2+ at equilibrium?arrow_forwardWhat is the standard cell potential you would obtain from a cell at 25C using an electrode in which Hg22+(aq) is in contact with mercury metal and an electrode in which an aluminum strip dips into a solution of Al3+(aq)?arrow_forwardAn electrochemical cell consists of a nickel metal electrode immersed in a solution with [Ni2+] = 1.0 M separated by a porous disk from an aluminum metal electrode. a. What is the potential of this cell at 25C if the aluminum electrode is placed in a solution in which [Al3+] = 7.2 103 M? b. When the aluminum electrode is placed in a certain solution in which [Al3+] is unknown, the measured cell potential at 25C is 1.62 V. Calculate [Al3+] in the unknown solution. (Assume Al is oxidized.)arrow_forward
- What is the standard cell potential you would obtain from a cell at 25C using an electrode in which I(aq) is in contact with I2(s) and an electrode in which a chromium strip dips into a solution of Cr3(aq)?arrow_forwardGiven the following two standard reduction potentials, solve for the standard reduction potential of the half-reaction M3++eM2+ (Hint: You must use the extensive property G to determine the standard reduction potential.)arrow_forwardAn electrochemical cell consists of a silver metal electrode immersed in a solution with [Ag+] = 1.0 M separated by a porous disk from a copper metal electrode. If the copper electrode is placed in a solution of 5.0 M NH3 that is also 0.010 M in Cu(NH3)42+, what is the cell potential at 25C? Cu2+(aq)+4NH3(aq)Cu(NH3)42+(aq)K=1.01013arrow_forward
- Identify the reaction at the anode, reaction at the cathode, the overall reaction, and the approximate potential required for the electrolysis of the following molten salts. Assume standard states and that the standard reduction potentials in Appendix L are the same as those at each of the melting points. Assume the efficiency is 100%. (a) CaCl2. (b) LiH. (c) AlCl3. (d) CrBr3arrow_forwardConsider a galvanic cell based on the following half-reactions: a. What is the standard potential for this cell? b. A nonstandard cell is set up at 25C with [Mg2+] = 1.00 105 M. The cell potential is observed to be 4.01 V. Calculate [Au3+] in this cell.arrow_forwardA current of 0.0100 A is passed through a solution of rhodium sulfate, causing reduction of the metal ion to the metal. After 3.00 hours, 0.038 g of Rh has been deposited. What is the charge on the rhodium ion, Rhn+? What is the formula for rhodium sulfate?arrow_forward
- Use electrode potentials to answer the following questions, assuming standard conditions. a Do you expect permanganate ion (MnO4 ) to oxidize chloride ion to chlorine gas in acidic solution? b Will dichromate ion (Cr2O72) oxidize chloride ion to chlorine gas in acidic solution?arrow_forwardCalculate the cell potential of a cell operating with the following reaction at 25C, in which [MnO4] = 0.010 M, [Br] = 0.010 M. [Mn2] = 0.15 M, and [H] = 1.0 M. 2MNO4(aq)+10Br(aq)+16H+(aq)2MN2(aq)+5Br2(l)+8H2O(l)arrow_forwardAn electrolysis experiment is performed to determine the value of the Faraday constant (number of coulombs per mole of electrons). In this experiment, 28.8 g of gold is plated out from a AuCN solution by running an electrolytic cell for two hours with a current of 2.00 A. What is the experimental value obtained for the Faraday Constant?arrow_forward
- General Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage LearningChemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage Learning
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistry by OpenStax (2015-05-04)ChemistryISBN:9781938168390Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark BlaserPublisher:OpenStax