In: Chemistry
Predict the standard cell potential and calculate the standard reaction Gibbs free energy for galvanic cells having the following cell reactions:
a) 3 Zn(s) +2Bi^3+(aq)--> 3 Zn^2+(aq) + 2Bi(s)
b) 2 H2(g) + O2(g)--> 2 H2O(l) in acidic solution
c)2 H2(g) +O2(g)--> 2 H2O(l) in basic solution
d) 3 Au+(aq) --> 2 Au(s) + Au^3+ (aq)
a) 3 Zn(s) +2Bi^3+(aq)--> 3 Zn^2+(aq) +
2Bi(s)
E0cell = Ecathode - Eanode
= 0.2 -
(-0.763)
= 0.963 v
DG0 = -nFE0cell = - 6*96500*0.963 = -557.577 kj
b) 2 H2(g) + O2(g)--> 2 H2O(l) in acidic
solution
E0cell = Ecathode - Eanode
= 1.229 - 0
= 1.229
v
DG0 = -nFE0cell = - 4*96500*1.229 = -473.39 kj
c)2 H2(g) +O2(g)--> 2 H2O(l) in basic
solution
E0cell = Ecathode - Eanode
= 0.4 - (-0.8277)
= 1.227
v
DG0 = -nFE0cell = - 4*96500*1.227 = -473.62 kj
d) 3 Au+(aq) --> 2 Au(s) + Au^3+ (aq)
E0cell = Ecathode - Eanode
= 1.68 - (1.4)
= 0.28v
DG0 = -nFE0cell = - 4*96500*0.28 = -108.08 kj