Chapter 20, Problem 12STP

Interpretation Introduction

Interpretation:

The standard potential is to be calculated of the given cell reaction.

Concept introduction:

Reduction will occur at that electrode having high reduction potential.

Answer to Problem 12STP

The reduction potential of ${\text{Ag}}^{\text{+1}}$ electrode is more than that of ${\text{Cr}}^{\text{3+}}|\text{Cr}$. So, reduction will occur at the silver electrode and oxidation will occur at the chromium electrode and the cell reaction will be given as

$\text{Cr}{\left(\text{s}\right)}^{}{\text{+3Ag}}^{\text{+}}\left(\text{aq}\right)\to {\text{Cr}}^{\text{+3}}\left(\text{aq}\right)\text{+3Ag}\left(\text{s}\right)$

The reduction potential of ${\text{Cr}}^{\text{+3}}|\text{Cr}\text{= -0}\text{.744 V}$ V

The reduction potential of ${\text{Ag}}^{\text{+1}}|\text{Ag}\text{=}\left(\text{0}\text{.7996}\right)$ V

Explanation of Solution

The reduction potential of ${\text{Ag}}^{\text{+1}}$ electrode is more than that of ${\text{Cr}}^{\text{3+}}|\text{Cr}$. So, reduction will occur at the silver electrode and oxidation will occur at the chromium electrode and the cell reaction will be given as

$\text{Cr}{\left(\text{s}\right)}^{}{\text{+3Ag}}^{\text{+}}\left(\text{aq}\right)\to {\text{Cr}}^{\text{+3}}\left(\text{aq}\right)\text{+3Ag}\left(\text{s}\right)$

The reduction potential of ${\text{Cr}}^{\text{+3}}|\text{Cr}\text{= -0}\text{.744 V}$ V

The reduction potential of ${\text{Ag}}^{\text{+1}}|\text{Ag}\text{=}\left(\text{0}\text{.7996}\right)$ V

Conclusion

The reduction potential of ${\text{Ag}}^{\text{+1}}$ electrode is more than that of ${\text{Cr}}^{\text{3+}}|\text{Cr}$. So, reduction will occur at the silver electrode and oxidation will occur at the chromium electrode and the cell reaction will be given as

$\text{Cr}{\left(\text{s}\right)}^{}{\text{+3Ag}}^{\text{+}}\left(\text{aq}\right)\to {\text{Cr}}^{\text{+3}}\left(\text{aq}\right)\text{+3Ag}\left(\text{s}\right)$

The reduction potential of ${\text{Cr}}^{\text{+3}}|\text{Cr}\text{= -0}\text{.744 V}$ V

The reduction potential of ${\text{Ag}}^{\text{+1}}|\text{Ag}\text{=}\left(\text{0}\text{.7996}\right)$ V