Relation between Gibbs free energy, Equilibrium constant and emf of cell
CHXII03:ELECTROCHEMISTRY

330416 Given that, \(\mathrm{MnO}_{4}^{-}+8 \mathrm{H}^{+}+5 \mathrm{e}^{-} \rightarrow\)
\({\rm{M}}{{\rm{n}}^{2 + }} + 4{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.51\;{\rm{V}}\)
\({\rm{Mn}}{{\rm{O}}_2} + 4{{\rm{H}}^ + } + 2{{\rm{e}}^ - } \to \)
\({\rm{M}}{{\rm{n}}^{2 + }} + 2{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.23\;{\rm{V}}\)
\({{\rm{E}}_{{\rm{MnO}}_4^ - /{\rm{Mn}}{{\rm{O}}_2}}}\) is

1 1.70 V
2 0.91 V
3 1.37 V
4 0.548 V
CHXII03:ELECTROCHEMISTRY

330417 For a \(\mathrm{Ag}-\mathrm{Zn}\) button cell, net reaction is
\(\mathrm{Zn}(\mathrm{s})+\mathrm{Ag}_{2} \mathrm{O}(\mathrm{s}) \rightarrow \mathrm{ZnO}(\mathrm{s})+2 \mathrm{Ag}(\mathrm{s})\)
\(\Delta {\text{G}}_{\text{f}}^0\left( {{\text{A}}{{\text{g}}_2}{\text{O}}} \right) = - 11.21\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
\(\Delta {\text{G}}_{\text{f}}^0({\text{ZnO}}) = - 318.3\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
Then, \(\mathrm{E}_{\text {cell }}^{0}\) of the button cell is

1 \(3.182 \mathrm{~V}\)
2 \(-1.621 \mathrm{~V}\)
3 \(1.591 \mathrm{~V}\)
4 \(-1.591 \mathrm{~V}\)
CHXII03:ELECTROCHEMISTRY

330418 Which of the following statements is correct?

1 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are extensive properties.
2 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are intensive properties.
3 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an intensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction is an extensive property.
4 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an extensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) cell reaction is an intensive property.
CHXII03:ELECTROCHEMISTRY

330419 Given:
\({\rm{(i)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + 2}}{{\rm{e}}^{\rm{ - }}} \to {\rm{Cu,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.337V}}\)
\({\rm{(ii)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + e}} \to {\rm{C}}{{\rm{u}}^{\rm{ + }}}{\rm{,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.153V}}\)
Electrode potential, \({E^o}\) for the reaction,
\(C{u^ + } + {e^ - } \to Cu\), will be

1 0.90 V
2 0.30 V
3 0.38 V
4 0.52 V
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
CHXII03:ELECTROCHEMISTRY

330416 Given that, \(\mathrm{MnO}_{4}^{-}+8 \mathrm{H}^{+}+5 \mathrm{e}^{-} \rightarrow\)
\({\rm{M}}{{\rm{n}}^{2 + }} + 4{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.51\;{\rm{V}}\)
\({\rm{Mn}}{{\rm{O}}_2} + 4{{\rm{H}}^ + } + 2{{\rm{e}}^ - } \to \)
\({\rm{M}}{{\rm{n}}^{2 + }} + 2{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.23\;{\rm{V}}\)
\({{\rm{E}}_{{\rm{MnO}}_4^ - /{\rm{Mn}}{{\rm{O}}_2}}}\) is

1 1.70 V
2 0.91 V
3 1.37 V
4 0.548 V
CHXII03:ELECTROCHEMISTRY

330417 For a \(\mathrm{Ag}-\mathrm{Zn}\) button cell, net reaction is
\(\mathrm{Zn}(\mathrm{s})+\mathrm{Ag}_{2} \mathrm{O}(\mathrm{s}) \rightarrow \mathrm{ZnO}(\mathrm{s})+2 \mathrm{Ag}(\mathrm{s})\)
\(\Delta {\text{G}}_{\text{f}}^0\left( {{\text{A}}{{\text{g}}_2}{\text{O}}} \right) = - 11.21\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
\(\Delta {\text{G}}_{\text{f}}^0({\text{ZnO}}) = - 318.3\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
Then, \(\mathrm{E}_{\text {cell }}^{0}\) of the button cell is

1 \(3.182 \mathrm{~V}\)
2 \(-1.621 \mathrm{~V}\)
3 \(1.591 \mathrm{~V}\)
4 \(-1.591 \mathrm{~V}\)
CHXII03:ELECTROCHEMISTRY

330418 Which of the following statements is correct?

1 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are extensive properties.
2 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are intensive properties.
3 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an intensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction is an extensive property.
4 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an extensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) cell reaction is an intensive property.
CHXII03:ELECTROCHEMISTRY

330419 Given:
\({\rm{(i)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + 2}}{{\rm{e}}^{\rm{ - }}} \to {\rm{Cu,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.337V}}\)
\({\rm{(ii)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + e}} \to {\rm{C}}{{\rm{u}}^{\rm{ + }}}{\rm{,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.153V}}\)
Electrode potential, \({E^o}\) for the reaction,
\(C{u^ + } + {e^ - } \to Cu\), will be

1 0.90 V
2 0.30 V
3 0.38 V
4 0.52 V
CHXII03:ELECTROCHEMISTRY

330416 Given that, \(\mathrm{MnO}_{4}^{-}+8 \mathrm{H}^{+}+5 \mathrm{e}^{-} \rightarrow\)
\({\rm{M}}{{\rm{n}}^{2 + }} + 4{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.51\;{\rm{V}}\)
\({\rm{Mn}}{{\rm{O}}_2} + 4{{\rm{H}}^ + } + 2{{\rm{e}}^ - } \to \)
\({\rm{M}}{{\rm{n}}^{2 + }} + 2{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.23\;{\rm{V}}\)
\({{\rm{E}}_{{\rm{MnO}}_4^ - /{\rm{Mn}}{{\rm{O}}_2}}}\) is

1 1.70 V
2 0.91 V
3 1.37 V
4 0.548 V
CHXII03:ELECTROCHEMISTRY

330417 For a \(\mathrm{Ag}-\mathrm{Zn}\) button cell, net reaction is
\(\mathrm{Zn}(\mathrm{s})+\mathrm{Ag}_{2} \mathrm{O}(\mathrm{s}) \rightarrow \mathrm{ZnO}(\mathrm{s})+2 \mathrm{Ag}(\mathrm{s})\)
\(\Delta {\text{G}}_{\text{f}}^0\left( {{\text{A}}{{\text{g}}_2}{\text{O}}} \right) = - 11.21\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
\(\Delta {\text{G}}_{\text{f}}^0({\text{ZnO}}) = - 318.3\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
Then, \(\mathrm{E}_{\text {cell }}^{0}\) of the button cell is

1 \(3.182 \mathrm{~V}\)
2 \(-1.621 \mathrm{~V}\)
3 \(1.591 \mathrm{~V}\)
4 \(-1.591 \mathrm{~V}\)
CHXII03:ELECTROCHEMISTRY

330418 Which of the following statements is correct?

1 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are extensive properties.
2 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are intensive properties.
3 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an intensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction is an extensive property.
4 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an extensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) cell reaction is an intensive property.
CHXII03:ELECTROCHEMISTRY

330419 Given:
\({\rm{(i)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + 2}}{{\rm{e}}^{\rm{ - }}} \to {\rm{Cu,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.337V}}\)
\({\rm{(ii)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + e}} \to {\rm{C}}{{\rm{u}}^{\rm{ + }}}{\rm{,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.153V}}\)
Electrode potential, \({E^o}\) for the reaction,
\(C{u^ + } + {e^ - } \to Cu\), will be

1 0.90 V
2 0.30 V
3 0.38 V
4 0.52 V
CHXII03:ELECTROCHEMISTRY

330416 Given that, \(\mathrm{MnO}_{4}^{-}+8 \mathrm{H}^{+}+5 \mathrm{e}^{-} \rightarrow\)
\({\rm{M}}{{\rm{n}}^{2 + }} + 4{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.51\;{\rm{V}}\)
\({\rm{Mn}}{{\rm{O}}_2} + 4{{\rm{H}}^ + } + 2{{\rm{e}}^ - } \to \)
\({\rm{M}}{{\rm{n}}^{2 + }} + 2{{\rm{H}}_{\rm{2}}}{\rm{O}}\,;{\rm{E}}^\circ = 1.23\;{\rm{V}}\)
\({{\rm{E}}_{{\rm{MnO}}_4^ - /{\rm{Mn}}{{\rm{O}}_2}}}\) is

1 1.70 V
2 0.91 V
3 1.37 V
4 0.548 V
CHXII03:ELECTROCHEMISTRY

330417 For a \(\mathrm{Ag}-\mathrm{Zn}\) button cell, net reaction is
\(\mathrm{Zn}(\mathrm{s})+\mathrm{Ag}_{2} \mathrm{O}(\mathrm{s}) \rightarrow \mathrm{ZnO}(\mathrm{s})+2 \mathrm{Ag}(\mathrm{s})\)
\(\Delta {\text{G}}_{\text{f}}^0\left( {{\text{A}}{{\text{g}}_2}{\text{O}}} \right) = - 11.21\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
\(\Delta {\text{G}}_{\text{f}}^0({\text{ZnO}}) = - 318.3\,\,{\text{kJ mo}}{{\text{l}}^{ - 1}}\)
Then, \(\mathrm{E}_{\text {cell }}^{0}\) of the button cell is

1 \(3.182 \mathrm{~V}\)
2 \(-1.621 \mathrm{~V}\)
3 \(1.591 \mathrm{~V}\)
4 \(-1.591 \mathrm{~V}\)
CHXII03:ELECTROCHEMISTRY

330418 Which of the following statements is correct?

1 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are extensive properties.
2 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\,\,{\rm{and}}\,\,{{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction both are intensive properties.
3 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an intensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) of cell reaction is an extensive property.
4 \({\rm{E}}_{{\rm{cell}}}^{\rm{o}}\) is an extensive property while \({{\rm{\Delta }}_{\rm{r}}}{\rm{G}}\) cell reaction is an intensive property.
CHXII03:ELECTROCHEMISTRY

330419 Given:
\({\rm{(i)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + 2}}{{\rm{e}}^{\rm{ - }}} \to {\rm{Cu,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.337V}}\)
\({\rm{(ii)}}{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\rm{C}}{{\rm{u}}^{{\rm{2 + }}}}{\rm{ + e}} \to {\rm{C}}{{\rm{u}}^{\rm{ + }}}{\rm{,}}{{\rm{E}}^{\rm{o}}}{\rm{ = 0}}{\rm{.153V}}\)
Electrode potential, \({E^o}\) for the reaction,
\(C{u^ + } + {e^ - } \to Cu\), will be

1 0.90 V
2 0.30 V
3 0.38 V
4 0.52 V