- G - - H - T - S and - G - - H - T - d- G-dT -p - then dEcell-dT is-

The correct option is A Δ S/nF On comparison : d(Δ G)/dT = Δ S nF ( dE_cell/dT ) = Δ S ∴ dE_cell/dT = Δ S/nF ...

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Byju's Answer

Standard XII

Chemistry

Mechanism of Adsorption

Δ G = Δ H - T...

Question

$Δ G = Δ H - T Δ S$ and $Δ G = Δ H + T {[\frac{d (Δ G)}{d T}]}_{p}$ , then $(\frac{d E_{c e l l}}{d T})$ is:

\frac{Δ S}{n F}

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\frac{n F}{Δ S}

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- n F E_{c e l l}

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n F E_{c e l l}

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Solution

The correct option is A $\frac{Δ S}{n F}$
On comparison :
$d (Δ G) / d T = - Δ S$
$- n F (\frac{d E_{c e l l}}{d T}) = - Δ S$
$∴ \frac{d E_{c e l l}}{d T} = \frac{Δ S}{n F}$

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Similar questions

Q. If

Δ G = Δ H - T Δ S

and

Δ G = Δ H + T {[\frac{d (Δ G)}{d T}]}_{p}

then variation of EMF of a cell with temperature T is given by

Q. If

Δ G = Δ H - T Δ S

and

Δ G = Δ H + T {[\frac{d (Δ G)}{d T}]}_{P}

then variation of EMF of a cell E, with temperature T, is given by:

d (Δ G) = - (Δ S_{reaction}) . d T

Δ G = Δ H - T Δ S

Δ G = Δ H + T {(\frac{d (Δ G)}{d T})}_{P}

Calculate

Δ S

for the given cell reaction in the previous question.

Q. The cell potential

(E_{c e l l})

of a reaction is related as

Δ G = n F E_{c e l l}

, where

Δ G

represents maximum useful electrical work.
n = no. of moles of electrons exchanged during the reaction.
For reversible cell reaction

d (Δ G) = (Δ V) d p - (Δ S) d T

At const. P,

d (Δ G) = - (Δ S) d T

At const. P,

Δ G = Δ H - T Δ S

. (1)

∴ Δ G = Δ H + T {(\frac{d (Δ G)}{Δ T})}_{P}

. (2)

{(\frac{d E_{c e l l}}{d T})}_{p}

is known as temperature coefficient of the emf of the cell.

The temperature coefficient of the emf the cell,

{(\frac{d E}{d T})}_{p}

is given by

Q. The cell potential

(E_{c e l l})

of a reaction is related as

Δ G = n F E_{c e l l}

, where

Δ G

represents maximum useful electrical work.
n = no. of moles of electrons exchanged during the reaction.
For reversible cell reaction

d (Δ G) = (Δ V) d p - (Δ S) d T

At const. P,

d (Δ G) = - (Δ S) d T

At const. P,

Δ G = Δ H - T Δ S

..(1)

∴ Δ G = Δ H + T {(\frac{d (Δ G)}{Δ T})}_{P}

. (2)

{(\frac{d E_{c e l l}}{d T})}_{p}

is known as temperature coefficient of the emf of the cell.

The

Δ S

for the cell reaction

Z n + 2 A g C l \to Z n C l_{2} + 2 A g

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ΔG=ΔH−TΔS and ΔG=ΔH+T[d(ΔG)dT]p , then (dEcelldT) is:

The correct option is A ΔSnFOn comparison :d(ΔG)/dT=−ΔS−nF(dEcelldT)=−ΔS∴dEcelldT=ΔSnF

$Δ G = Δ H - T Δ S$ and $Δ G = Δ H + T {[\frac{d (Δ G)}{d T}]}_{p}$ , then $(\frac{d E_{c e l l}}{d T})$ is:

The correct option is A $\frac{Δ S}{n F}$
On comparison :
$d (Δ G) / d T = - Δ S$
$- n F (\frac{d E_{c e l l}}{d T}) = - Δ S$
$∴ \frac{d E_{c e l l}}{d T} = \frac{Δ S}{n F}$