Q.

(a) The cell in which, the following reaction occurs:
2Fe3+(aq)+2I(aq)2Fe2+(aq)+I2(s) 
has Ecell =0.236V at 298K. Calculate the standard Gibbs energy of the cell reaction. (Given: 1 F = 96,500 C mol−1)
(b) How many electrons flow through a metallic wire if a current of 0·5 A is passed for 2 hours? (Given: 1 F = 96,500 C mol−1)

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Detailed Solution

(a) Given,
n =2
Ecell 0=0.236V
T= 298K
Formula: ΔG0=nFE=2×96500×0.236=45547Jmol1=45.548kJmol1
(b) Given; i = 0.5A 
t = 2 hours =2×60×60 s =7200s Q=it
Q = 0.5× 7200= 3600C
As 96500C= 6.023 ×10²³
Therefore, 3600C=6.023×1023×360096500 number of electrons
=2.25×1023 number of electrons
2.25×1023number of electrons will flow through the wire.

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