In: Chemistry
Please show how to work this problem?
In some applications, nickel-cadmium batteries (EMF= 1.30 V) have been replaced by nickel-zinc batteries. The overall cell reaction for this new battery is:
2H2O (l) + 2NiO(OH) (s) + Zn (s) --> 2Ni(OH)2 (s) + Zn(OH)2 (s)
a) What is the cathode half reaction?
b) What is the anode half reaction?
c) What voltage would you expect the nickel-zinc battery will produce?
Solution-
The overall cell reaction for this new battery is as follows
2H2O (l) + 2NiO(OH) (s) + Zn (s) --> 2Ni(OH)2 (s) + Zn(OH)2 (s)
Cathode half reaction is as follows
2NiO(OH) + 2H2O +2e- --> 2Ni(OH)2 + 2OH-
b) What is the anode half reaction?
Anode half reaction is as follows
Zn + 2OH- --> Zn(OH)2 + 2e
Overall reaction
2NiO(OH) + 2H2O +2e- --> 2Ni(OH)2 + 2OH-
Zn + 2OH- --> Zn(OH)2 + 2e-
---------------------------------------------------------------------------------------------
2NiO(OH) + 2H2O + Zn --> 2Ni(OH)2 (s) + Zn(OH)2 (s)
Given
E0cell = 1.3 V
E0Anod = 0.36 V
Zn is the better reducing agent
We know the equation
E0cell = E0cathod - E0Anod
E0cathod = 1.3V + 0.36V
E0cathod = 1.66 V
Answer: voltage expect the nickel-zinc
battery will produce = 1.66V