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In the button cells widely used in watch...

In the button cells widely used in watches and other devices, the following reaction takes place:
`Zn (s) + Ag_(2)O (s) + H_2O (l) to Zn^(2+) (aq) + 2Ag (s) + OH^(-)` (aq)
Determine `E^(@)` and `Delta_(r)G^(@)` for the reaction.

Text Solution

Verified by Experts

Electrode reactions taking place in the button cell are as under :
`Zn(s) to Zn^(2+)(aq) + 2e^(-)`
`2Ag^(+)(aq) + 2e^(-) to 2Ag(s)`
---------------------------------------------------------------------
`Zn(s) + 2Ag^(+)(aq) to Zn^(2+)(aq) + 2Ag(s)`
Thus, n=2
`E^(@)` for the reaction can be obtained as under:
`E_("cell")^(@) = (E_("cathode")^(@) - E_("anode")^(@))`
`=+0.80 V - (0.76 V) = + 1.56 V`
Use the following relation to calculate `Delta_(r)G^(@)`
`Delta_(r)G^(@) =-nE^(@) F`
`=-301.080 kJ mol^(-1)`
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Knowledge Check

  • Consider Delta G^(@) for the following cell reaction : Zn (s) + Ag_(2)O(s)+H_(2)O(l) hArr Zn^(2+)(aq)+2Ag(s)+2OH^(-)(aq) E_(Ag^(+)//Ag)^(@) = +0.80 and E_(Zn^(2+)//Zn)^(@) = - 0.76 V

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    B
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