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Question

Question: Emf of the cell Ni \| Ni2+ ( 0.1 M ) \|\| Au3+ (1.0 M) \| Au will be \(\mathrm { E } _ { \mathrm ...

Emf of the cell

Ni | Ni2+ ( 0.1 M ) || Au3+ (1.0 M) | Au will be

ENi/Ni2+0=0.25\mathrm { E } _ { \mathrm { Ni } / \mathrm { Ni } ^ { 2 + } } ^ { 0 } = 0.25 E0Au/Au3+=1.5V{E^{0}}_{Au/Au^{3 +}} = - 1.5V

A

1.75 V

B
    1. 7795 V
C
  • 0.7795 V
D
  • 1.7795 V
Answer
    1. 7795 V
Explanation

Solution

Cell reaction: 3Ni+2Au+33Ni+2+2Au3Ni + 2Au^{+ 3}\overset{\quad\quad}{\rightarrow}3Ni^{+ 2} + 2Au

Ecell=E0cell0.05916log[Ni+2]3[Au+3]2E_{cell} = E^{0}cell - \frac{0.0591}{6}\log\frac{\lbrack Ni^{+ 2}\rbrack^{3}}{\lbrack Au^{+ 3}\rbrack^{2}}

=(0.25+1.5)0.05916log(0.1)3(1)2=1.750.05912log(0.1)= ( 0.25 + 1.5 ) - \frac { 0.0591 } { 6 } \log \frac { ( 0.1 ) ^ { 3 } } { ( 1 ) ^ { 2 } } = 1.75 - \frac { 0.0591 } { 2 } \log ( 0.1 )

= 1.75 + 0.295 = + 1.7795 V