Interpretation:
The standard Gibbs free energy and the equilibrium constant for the given reaction are to be calculated from the standard reduction potential.
Concept introduction:
The change in free energy is called Gibbs free energy and is denoted as
If
The standard cell potential can be calculated by the expression as:
The standard Gibbs free energy change is calculated by the expression as:
Here,
The equilibrium constant is calculated by the expression as:
The relation between free energy change and standard free energy change is as:
Here,
At equilibrium the above equation is reducedto the expression:
Answer to Problem 57AP
Solution:
Explanation of Solution
The overall reaction is obtained by adding the two half reactions as follows:
The standard electrode potential is given as:
The Gibbs free energy for the given reaction is calculated as follows:
Substitute 2 for
Since in one joule, there are 0.001 kilojoules present.
Then,
Hence, the Gibbs free energy is
The equilibrium constant for the given reaction is as follows:
Now, substitute
Take antilog on both sides as follows:
The standard Gibbs free energy and the equilibrium constant for the given reaction are
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Chapter 22 Solutions
Chemistry
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