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Question

$$E^{0}$$ for the cell, $$Zn|Zn{^{2+}}_{(aq)}||Cu{^{2+}}_{(aq)}|Cu$$ is $$1.10\ V$$ at $$25^{0}\ C$$. The equilibrium constant for $$Zn+Cu{^{2+}}_{(aq)}\rightarrow Zn{^{2+}}_{(aq)}+Cu$$ the cell reaction is of the order of :



A
1037
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B
1037
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C
1017
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D
1017
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Solution

The correct option is C $$10^{37}$$
The standard emf of cell $$ { E }_{ cell }^{ 0 }\quad =\quad 1.10\quad V $$.
The expression for the equilibrium constant is $$ { E }_{ cell }^{ 0 }\quad =\quad \frac { 0.0592 }{ n } \quad log\quad K.$$
Substitute values in the above expression.
$$ 1.10\quad V = \frac { 0.0592 }{ 2 }  log K\\ \quad \quad log\quad K\quad =\quad 37\\ \quad \quad \quad \quad \quad K\quad =\quad 1\quad \times \quad { 10 }^{ 37 }.$$

Chemistry

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