Calculate the $K_C$ and $\Delta G^o$ for the chemical reaction :
$Ni_{(s)} + 2Ag_{(aq)}^{+} \to Ni_{(aq)}^{2+} + 2Ag_{(s)}$ $ [E^o = 1.05 \, V] $
$Ni_{(s)} + 2Ag_{(aq)}^{+} \to Ni_{(aq)}^{2+} + 2Ag_{(s)}$ $ [E^o = 1.05 \, V] $
(N/A) The number of electrons transferred in the reaction is $n = 2$.
Using the formula $\Delta G^o = -nFE^o$:
$\Delta G^o = -2 \times 96487 \, C \, mol^{-1} \times 1.05 \, V = -202622.7 \, J \, mol^{-1} \approx -2.026 \times 10^{2} \, kJ \, mol^{-1}$.
Using the relation $\Delta G^o = -RT \ln K_C$ or $\log K_C = \frac{nE^o}{0.059}$ at $298 \, K$:
$\log K_C = \frac{2 \times 1.05}{0.059} = 35.593$.
$K_C = 10^{35.593} \approx 3.92 \times 10^{35}$.
Using the formula $\Delta G^o = -nFE^o$:
$\Delta G^o = -2 \times 96487 \, C \, mol^{-1} \times 1.05 \, V = -202622.7 \, J \, mol^{-1} \approx -2.026 \times 10^{2} \, kJ \, mol^{-1}$.
Using the relation $\Delta G^o = -RT \ln K_C$ or $\log K_C = \frac{nE^o}{0.059}$ at $298 \, K$:
$\log K_C = \frac{2 \times 1.05}{0.059} = 35.593$.
$K_C = 10^{35.593} \approx 3.92 \times 10^{35}$.
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$(I)$ Only $C$ reacts with $1 \ M \ HCl$ to give $H_{2(g)}$.
$(II)$ When $A$ is added to a solution of the other metal salts,metallic $D$ is formed,but not $B$ or $C$.
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$(II)$ When $A$ is added to a solution of the other metal salts,metallic $D$ is formed,but not $B$ or $C$.
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List-$I$ List-$II$ $(A)$ Potential of hydrogen electrode at $pH = 10$ $(I)$ $0.76 \ V$ $(B)$ $Cu^{2+}|Cu$ $(II)$ $0.059$ $(C)$ $Zn|Zn^{2+}$ $(III)$ $-0.591 \ V$ $(D)$ $\frac{2.303RT}{F}$ $(IV)$ $0.337 \ V$ $(V)$ $-0.76 \ V$
$(a)$ $A-III, B-I, C-II, D-V$
$(b)$ $A-II, B-V, C-I, D-IV$
$(c)$ $A-III, B-IV, C-I, D-II$
$(d)$ $A-V, B-I, C-IV, D-II$
| List-$I$ | List-$II$ |
|---|---|
| $(A)$ Potential of hydrogen electrode at $pH = 10$ | $(I)$ $0.76 \ V$ |
| $(B)$ $Cu^{2+}|Cu$ | $(II)$ $0.059$ |
| $(C)$ $Zn|Zn^{2+}$ | $(III)$ $-0.591 \ V$ |
| $(D)$ $\frac{2.303RT}{F}$ | $(IV)$ $0.337 \ V$ |
| $(V)$ $-0.76 \ V$ |
$(a)$ $A-III, B-I, C-II, D-V$
$(b)$ $A-II, B-V, C-I, D-IV$
$(c)$ $A-III, B-IV, C-I, D-II$
$(d)$ $A-V, B-I, C-IV, D-II$
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