\(C{u^{ + + }} + {e^ - } \to C{u^ + };\,\,\,E_{C{u^{ + + }}/C{u^ + }}^o = 0.15\,\,V\,\,\) …..\((i)\)
\(C{u^{ + + }} + 2{e^ - } \to Cu;\,\,\,\,E_{C{u^{ + + }}/Cu}^o = 0.\,34\,\,V\,\) …..\((ii)\)
Multiplying eq. \((i)\) by \(2\) we get
\(2C{u^{ + + }} + 2{e^ - } \to 2C{u^ + }\) …..\((iii)\)
\(\Delta {G_1} = - nFE = - 2 \times F \times 0.15\)
\(C{u^{ + + }} + 2{e^ - } \to Cu\,\,\,\)…..\((iv)\)
\(\Delta {G_2} = - nFE = - 2 \times F \times 0.34\)
Subtract the eq. \((iv)\) from \( (iii)\)
\(C{u^{ + + }} + Cu \to 2C{u^ + }\)
\(\Delta {G_3} = - \,nFE = - 1 \times F \times {E^o}\)
Also \(\Delta {G_3} = \Delta {G_1} - \Delta {G_2}\)
\( - 1F{E^o} = ( - \,2F \times 0.15) - ( - \,2F \times 0.34)\) \({E^o} = - \,0.38\)
This is the value for the reaction
\(C{u^{ + + }} + Cu \to 2C{u^ + }\)
But the given reaction is just reverse of it
\({E_{{\rm{cell}}}}\) for given reaction \(= + 0.38\,V.\)
$E^o_{Cr_2O_7^{2-}/Cr^3+} =1.33\,V:$ $E^o_{Cl/Cl^-} =1.36\,V$
ઉપર આપેલા માહિતીને આધારે નીચેનામાંથી ક્યો પ્રબળ ઓક્સિડેશનકર્તા છે ?
$Ni ( s )+2 Ag ^{+}(0.001 M ) \rightarrow Ni ^{2+}(0.001 M )+2 Ag ( s )$
$($ આપેલ છે $298\, K$ પર $E _{\text {cell }}^{\circ}=10.5 \,V , \frac{2.303 RT }{ F }=0.059)$
$Zn(s)\, + \,C{u^{2 + }}(aq)\, \to \,Z{n^{2 + }}(aq) + Cu\,(s)$
$(298\,K$ પર ${E^o} = 2\,V,$ ફેરાડે અચળાંક $F = 96500\, C\, mol^{-1})$