Nernst Equation

The correct answer is A:-0.22V
When pH =

14%20%5Cleft%5BH%5E%7B%2B%7D%5Cright%5D%20%3D10%5E%7B-14%7D

and

%5Cleft%5BOH%5E%7B-%7D%5Cright%5D%3D1%20M

K_%7Bsp%7D%20%3D%5Cleft%5BCu%5E%7B2%7D%5Cright%5D%5Cleft%5BOH%5E%7B-%7D%5Cright%5D%5E%7B2%7D%20%3D10%5E%7B-19%7D

%5Ctherefore%5Cquad%5Cleft%5BCu%5E%7B2%2B%7D%5Cright%5D%3D%5Cfrac%7B10%5E%7B-19%7D%7D%7B%5Cleft%5BOH%5E%7B-%7D%5Cright%5D%5E%7B2%7D%7D%20%3D10%5E%7B-19%7D

The half cell reaction

Cu%5E%7B2%2B%7D%2B2e%5E%7B-%7D%20%3F%20Cu

E%3DE%5E%7B%5Ccirc%7D-%5Cfrac%7B0.059%7D%7B2%7D%20%5C%2C%20log%5C%2C%20%5Cfrac%7B1%7D%7B%5Cleft%5BCu%5E%7B2%2B%7D%5Cright%5D%7D

%3D0.34-%5Cfrac%7B0.059%7D%7B2%7D%20%5C%2C%20log%20%5C%2C%20%5Cfrac%7B1%7D%7B10%5E%7B-19%7D%7D%3D-0.22%20V

cu%5E%7B2%2B%7D%2Ble%5E%7B-%7D%20%5Crightarrow%20Cu%5E%7B%2B%7D%5C%2C%3B%20%5C%2C%5CDelta%20G%5E%7B%5Ccirc%7D_%7B1%7D%3D-n_%7B1%7DE_%7B1%7D%5E%7B%5Ccirc%7DF%5D

%5Cfrac%7Bcu%5E%7B%2B%7D%2Ble%5E%7B-%7D%20%5Crightarrow%20Cu%5C%2C%3B%20%5C%2C%5CDelta%20G%5E%7B%5Ccirc%20%7D_%7B2%7D%3D-n_%7B2%7DE_%7B2%7D%5E%7B%5Ccirc%20%7DF%7D%7Bcu%5E%7B2%2B%7D%2B2e%5E%7B-%7D%20%5Crightarrow%20Cu%5C%2C%3B%20%5C%2C%5CDelta%20G%5E%7B%5Ccirc%7D%3D%5CDelta%20G%5E%7B%5Ccirc%20%7D_%7B1%7D%3D%5CDelta%20G%5E%7B%5Ccirc%7D_%7B2%7D%7D

-nE%5E%7B%3F%7DF%3D1%5C%2Cn_%7B1%7D%5C%2CE%5E%7B%3F%7DF%2B%5Cleft(-1%5Cright)n_%7B2%7D%5C%2CE%5E%7B%3F%7D_%7B2%7DF

-nE%5E%7B%3F%7D%5C%2CF%3D-F%5Cleft(n_%7B1%7D%5C%2CE%5E%7B%3F%7D_%7B1%7D%2Bn_%7B2%7D%5C%2CE%5E%7B%3F%7D_%7B2%7DF%5Cright)

E%5E%7BV%7D%3D%5Cfrac%7Bn_%7B1%7DE%5E%7B%3F%7D_%7B1%7D%2Bn_%7B2%7DE%5E%7B%3F%7D_%7B2%7D%7D%7Bn%7D%3D%5Cfrac%7B0.15%5Ctimes1%2B0.50%5Ctimes1%7D%7B2%7D%3D0.325

Chapter Questions
2 MCQs