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
B
1037
C
1017
D
1017

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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