Mistake in Pub. Soln on Carmen - 20.44(b)
Zellmer, Robert
zellmer.1 at osu.edu
Wed Apr 5 18:34:49 EDT 2023
There is a mistake in the solutions manual on Carmen for 20.44(b).
20.44(b) The solutions manual uses an electrode not given in the problem.
To get the smallest (+) emf from the 1/2-cells given would
be using the first two half-cells listed,
Anode: AuBr4^- (aq) + 3 e- ----> Au(s) + 4 Br- (aq)
Cat: Eu^3+ (aq) + 1 e- ----> Eu^2+ (aq)
To balance the electrons you need to multiply the cathode rxn by 3
Cat: 3 (Eu^3+ (aq) + 1 e- ----> Eu^2+ (aq))
Then you get:
Anode: AuBr4^- (aq) + 3 e- ----> Au(s) + 4 Br^- (aq)
Cat: 3 Eu^3+ (aq) + 3 e- ----> 3 Eu^2+ (aq)
Add them to get the overall rxn.
AuBr4^- (aq) + Eu^3+ (aq) ----> Au(s) + 4 Br^- (aq) + 3 Eu^2+ (aq)
E^o = E^o (cathode) - E^o (anode)
= (-.43 V) - (-.858 V)
= + 0.43 V
Dr. Zellmer
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