Consider these two entries from a fictional table of standard reduction potentials.
**X3+ + 3e- rightarrow x(s) E = -2.00 V Y3+ + 3e- **
What is the standard potential of a cell where X is the anode and Y is the cathode?
Concepts and reason
The question is based on calculating the overall cell potential, for the given reaction. It is calculated using the following formula:
To calculate , the half-cell reactions with the overall reaction must be determined.
Fundamentals
Overall cell potential : It is the cell potential of the overall net reaction. It is calculated as follows:
Here,is the standard reduction potential of the reaction occurring at cathode; and is the standard reduction potential of the reaction occurring at anode.
While writing the half-cell reaction, oxidation occurs at anode and reduction occurs at cathode.
The overall reaction is written by combining both the half-cell reactions.
Answer:
Consider the given half-cell reactions occurring at different electrodes:
It is given that X is the anode and Y is the cathode for the half-cell reactions. Moreover, oxidation reaction occurs at anode and reduction reaction occurs at cathode.
Therefore, the half-cell reaction of anode will be reversed but, its standard reduction potential will remain same.
The overall cell reaction is written by combining both the half-cell reactions and cancelling the common electrons present in them.
Calculate the overall standard cell potential as follows:
Standard cell potential,, for the given reaction is 1.51 V.
Substitute the values of standard reduction potentials of cathode and anode in the given formula to calculate the value of overall cell potential.