Answer: The standard potential is -0.141 V
Step-by-step explanation:
To calculate the Gibbs free energy for given value of equilibrium constant we use the relation:
![\Delta G=-RTlnK](https://img.qammunity.org/2022/formulas/chemistry/high-school/twstibht3zcixl5y5dtjqb3z7ff5du8lrl.png)
where,
= standard Gibbs free energy = ?
R = Gas constant = 8.314 J/Kmol
T = temperature = 298 K
K = equilibrium constant =
Putting values in above equation, we get:
![\Delta G=40853J](https://img.qammunity.org/2022/formulas/chemistry/high-school/9xhtaixdjzvuwox9f2i0ddvlyievem4x91.png)
Also
![\Delta G=-nFE^0](https://img.qammunity.org/2022/formulas/chemistry/high-school/wvg7dtbefk6718vial9enkj62pls1bh522.png)
where n = no of electrons gained or lost = 3
F = Faradays constant = 96500 C
= standard potential = ?
![40853=3* 96500* E^0](https://img.qammunity.org/2022/formulas/chemistry/high-school/u8exy2idjaj3uafnamhb0ck99gwesmpi3f.png)
![E^0=-0.141V](https://img.qammunity.org/2022/formulas/chemistry/high-school/x2smjfqp3dee5e8sx1divspsnffts12bk4.png)
Thus the standard potential is -0.141 V