In the 1st reaction :
Cu2+ reduced to Cu+, and I- oxidized to I2
Ppt formed is copper(I) iodide, which is white; but because
iodine is brown, the result appears to be a brown ppt (which is
really a mixture of two separate species, one white one
brown).
In the 2nd reaction :
S2O3 2- oxidized to S4O6 2-, and I2 reduced to I-.
Hence the brown colour dissapears (I2 reduced to colourless I-),
while the white ppt (copper(I) iodide) remains.
The following calculations assume standard molarities for all
species (per molar quantities specified by equation), which of
course isn't actually the case (based on the stoichiometry of the
balanced redox eqns; furthermore the following reaction
would not be feasible or spontaneous in the forward
direction with a negative cell potential). So the following is
"just for argument's sake".
For 1st reaction :
2I- ---> I2 + 2e- -0.54V
oxidation potential at anode
Cu2+ + e- ---> Cu+ +0.15V reduction
potential at cathode
E cell = Reduction potential at Cathode + Oxidation potential at
Anode
= (+0.15) + (-0.54) = -0.39V
For 2nd reaction :
2S2O3 2- ---> S4O6 2- +
2e- -0.09V oxidation potential at anode
I2 + 2e- ---> 2I- +0.54V
reduction potential at cathode
E cell = Reduction potential at Cathode + Oxidation potential at
Anode
= (+0.54) + (-0.09) = +0.45V