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Prove that the free energy (ΔG) and the emf of an electro-chemical cell are related by
ΔG = – nFE0.


The change in free energy is equal to the useful work done in a reversible process at constant temperature and pressure
ΔG = Wnet ...(i)
In an electrochemical cell and work obtained is equal to the charge transferred multiplied by the potential difference:
Welectrical = – nFE ...(ii)
The negative sign appears because the work is done by the charge. In equation (ii) n is the moles of electrons gained or lost in redox reaction and F is the Faraday constant.
In a cell when only electric work is done, then
Wnet= WeIectrical = – nFE ...(iii)
From relation (i) and (iii), we have
ΔG = – nFE
or ΔG = – mFE°cell.

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Calculate the emf of the cell Zn/Zn2+ (0.1 M) || Cd2+ (0.01 M) | Cd at 298 k. (given)
Zn2+/Zn = – 0.76 V and E°Cd2+/Cd = – 0.40 V).


The following curve is obtained when molar conductivity λm (y-axis) is plotted against the square root of concentration C1/2 (x-axis) for two electrolytes A and B.
(a) What can you about the nature of the two electrolytes A and B.
(b) How do you account for the increase in molar conductivity λm for the electrolytes A and B on dilution.



How is the standard free energy change related to
(i) emf of a galvanic cell related to the reaction.
(ii) equilibrium constant of the reaction in equilibrium state?

Write the cell reactions which occur in lead storage battery (i) when the battery is in use and (ii) when the battery is on charging.

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