What is the overall cell potential for this redox reaction?
Ba + Ca2+ → Ba2+ + Ca
Given: Ba2+ + 2e− → Ba(s) –2.90 and Ca2+ + 2e− → Ca(s) –2.87

Respuesta :

[tex]Eºcell = Eºcathode - Eºanode = -2.87 -(-2.90) = 0.03 V[/tex]

Explanation:

It is known that in an electrochemical cell, chemical reaction occurring at the electrodes generates a potential difference.

In an electrochemical cell, oxidation process occurs at anode and reduction process occurs at cathode.

For example, [tex]Ba^{+} + Ca^{2+} \rightarrow Ba^{2+} + Ca[/tex]

Cathode: [tex]Ca^{2+} + 2e^{-} \rightarrow Ca[/tex]

Anode : [tex]2Ba^{+} \rightarrow Ba^{2+} + 2e^{-}[/tex]

Also, it is known that when more negative is the value of [tex]E^{o}[/tex] more easily an atom can lose electrons. Hence, oxidation will occur where [tex]E^{o}[/tex] value is more negative.

Thus, calculate the overall cell potential as follows.

                         [tex]E^{o}[/tex] = [tex]E^{o}_{cathode}[/tex] - [tex]E^{o}_{anode}[/tex]

                               = [-2.87 - (-2.90)] V

                               = 0.03 V

Thus, we can conclude that overall cell potential for the given redox reaction is 0.03.