The cell potential (E("cell")) of a reac...

The cell potential `(E_("cell"))` of a reaction is related as `DeltaG = -nFE_("cell")` , where `DeltaG` represents max. useful electrical work .
n=no. of moles of electrons exchanged during the reactino of reversible cell reaction `d(DeltaG) = (DeltaV)dP-(DeltaS).dT`
at constant pressure ` d(DeltaG) = - (DeltaS).dT`
`:'` At constant pressure `DeltaG = DeltaG = DeltaH-TDeltaS`.......(1)
`:. DeltaG = DeltaH + T((d(DeltaG))/(dT))_P` ......... (B)
` ((dE_("cell"))/(dT))_(P)` is known as temperature coefficient of the e.m.f of the cell
When `DeltaS` increases, temperature coefficient of the emf of cell

Constant

Decreases

Suddenly decreases

Increases

Text Solution

Verified by Experts

The correct Answer is:

`DeltaG = DeltaH -T. DeltaS , Delta G = DeltaH + T ((d(DeltaG))/(DeltaT))_(P)`
` implies -DeltaS = ((d(DeltaG))/(dT))_P - DeltaS = ((d(-nFE_("cell")^(0)))/(dt))_(P)- DeltaS = -nF((dE_("cell"))/(dt))_(P)`
`((dE_("cell"))/(dt))_P = (DeltaS)/(nF) implies If DeltaS uarr ` then `((dE_("cell"))/(dt))_(P)uarr`

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The cell potential (E_("cell")) of a reaction is related as DeltaG = -nFE_("cell") , where DeltaG represents max. useful electrical work . n=no. of moles of electrons exchanged during the reaction of reversible cell reaction d(DeltaG) = (DeltaV)dP-(DeltaS).dT at constant pressure d(DeltaG) = - (DeltaS).dT :' At constant pressure DeltaG = DeltaG = DeltaH-TDeltaS .......(1) :. DeltaG = DeltaH + T((d(DeltaG))/(dT))_P ......... (B) ((dE_("cell"))/(dT))_(P) is known as temperature coefficient of the e.m.f of the cell At 300 K , DeltaH for the reaction Zn_((s)) + 2AgCl_((s)) to ZnCl_(2(aq)) + 2Ag_((s)) is -218 kJ / mol whle the e.m.f of the cell was 1.015 V , ((dE)/(dT))_(P) of the cell is :

`-4.2 xx 10^(-4) VK^(-)`

`-3.81 xx 10^(-4) VK^(-1)`

`0.11 VK^(-) `

`7.62 xx 10^(-4)VK^(-1)`

DeltaG = DeltaH-TdeltaS and DeltaG = DeltaH + T[(d(DeltaG))/(dT)] " then " ((dE_("cell"))/(dT)) is

`(DeltaS)/(nF)`

`(nE)/(DeltaS)`

`-nFE_("cell")`

`+nFE_("cell")`

If Delta G = Delta H - T Delta S and Delta G = Delta H + T [(d(Delta G))/(dT)]_(P) then variation of emf of a cell E, with temperature T is given by:

`(Delta H)/(nF)`

`(Delta H- Delta G)/(nFT)`

`(Delta S)/(nF)`

`-(Delta S)/(nF)`

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DeltaG = DeltaH-TdeltaS and DeltaG = DeltaH + T[(d(DeltaG))/(dT)] " then " ((dE_("cell"))/(dT)) is

If Delta G = Delta H - T Delta S and Delta G = Delta H + T [(d(Delta G))/(dT)]_(P) then variation of emf of a cell E, with temperature T is given by:

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