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The cell potential (E(cell)) of a reacti...

The cell potential `(E_(cell))` of a reaction is related as `/_\G=-nF E_(cell)`, where `/_\`G represents max. useful electrical work
n=no. of moles of electrons exchanged during the section
for reversible cell reaction `d(/_\G)=(/_\_rV)dp-(/_\_rS),dT`
at constant pressure `d(/_\G)=-(/_\_rS).dT`
:' At constant pressure `/_\G=/_\H-T./_\S`
:. /_\G=/+\H+T(d(/_\G))/((dT)_P)`
`((dE_(cell))/(dT))_P` is known as temperture coefficient of the e.m.f of the cell.
At 300 k, `/_\` H for the reaction
`Zn(s)+AgCl(s)toZnCl_2(aq)+2Ag(s)` is
-218 KJ/mol while the e.m.f of the cell was 1.015V. `((dE)/(dT))_p` of the cell is :

A

`-4.2xx10^(-4)VK^(-1)`

B

`-3..81xx10^(-4)VK^(-1)`

C

`0.11VK^(-1)`

D

`7.62xx10^(-4)VK^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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The cell potential (E_(cell)) of a reaction is related as /_\G=-nF E_(cell) , where /_\ G represents max. useful electrical work n=no. of moles of electrons exchanged during the section for reversible cell reaction d(/_\G)=(/_\_rV)dp-(/_\_rS),dT at constant pressure d(/_\G)=-(/_\_rS).dT :' At constant pressure /_\G=/_\H-T./_\S :. /_\G=/+\H+T(d(/_\G))/((dT)_P) ((dE_(cell))/(dT))_P is known as temperture coefficient of the e.m.f of the cell. Calculate /_\ S for the given cell reaction in Q. no. 2:

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