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Q. A solution containing one mole per litre of each $Cu(NO_3)_2$, $AgNO_3,Hg_2(NO_3)_2$ and $Mg(NO_3)_2$ is being electrolysed by using inert electrodes. The values of standard electrode potentials in volts (reduction potential) are
$ Ag^+/ Ag =+0.80, Hg^{2+}_2/2Hg=+0.79 $
$Cu^+/ Cu =+0.34, Mg^{2+}/Mg=-2.37 $
With increasing voltage, the sequence of deposition of metals or the cathode will be

IIT JEEIIT JEE 1984Electrochemistry

Solution:

In aqueous solution, only those ions who are less electropositive than hydrogen ($E^\circ > 0$) would be deposited.
Therefore, in the present case, only $Ag, Hg$ and $Cu$ would be deposited on passing electricity through aqueous solution of these ions, $Mg$ will not be deposited.
Also, higher the value of $E^\circ$, easier will be their reduction,therefore, the sequence in which ions will be deposited on increasing voltage across the electrodes is :
$ Ag, Hg, Cu$