Answer: 0.18 V
Explanation:-
![Cd/Cd^(2+)(0.10M)//Ni^(2+)(0.50M)?Ni](https://img.qammunity.org/2020/formulas/chemistry/college/nd6h4m0vpadtquy9qx4nrn13plpsbm3e7o.png)
Here Cd undergoes oxidation by loss of electrons, thus act as anode. nickel undergoes reduction by gain of electrons and thus act as cathode.
=-0.40V[/tex]
=-0.24V[/tex]
![Cd+Ni^(2+)\rightarrow Cd^(2+)+Ni](https://img.qammunity.org/2020/formulas/chemistry/college/avim8ym4t4akd1ad6jl8q392udliu7119b.png)
Here Cd undergoes oxidation by loss of electrons, thus act as anode. nickel undergoes reduction by gain of electrons and thus act as cathode.
![E^0=E^0_(cathode)- E^0_(anode)](https://img.qammunity.org/2020/formulas/chemistry/college/knfbaze194owk9c6zmpvehl54oqarww3bj.png)
Where both
are standard reduction potentials.
![E^0=E^0_([Ni^(2+)/Ni])- E^0_([Cd^(2+)/Cd])](https://img.qammunity.org/2020/formulas/chemistry/college/eurmin84m2ny2uyvum8b7q8i4m41pm63x5.png)
![E^0=-0.24-(-0.40)=0.16V](https://img.qammunity.org/2020/formulas/chemistry/college/wu6qfz1p28syg4y617ix3uf7znfxndw8po.png)
Using Nernst equation :
![E_(cell)=E^o_(cell)-(0.0592)/(n)\log \frac{[Cd^(2+)]}{[Ni^(2+])]()
where,
n = number of electrons in oxidation-reduction reaction = 2
= standard electrode potential = 0.16 V
![E_(cell)=0.16-(0.0592)/(2)\log ([0.10])/([0.5])](https://img.qammunity.org/2020/formulas/chemistry/college/vsvh5qx4u1p0x4cupq1sjqc4yb6xj3ltmo.png)
![E_(cell)=0.18V](https://img.qammunity.org/2020/formulas/chemistry/college/70dpz2fy5c7g66r3fpb7my9q4bu3x4k3mj.png)
Thus the potential of the following electrochemical cell is 0.18 V.