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Question
Chemistry
Given standard electrode potentials Fe 2:+2 e - longrightarrow Fe E °=-0 ⋅ 440 V Fe 3++3 e - longrightarrow Fe E °=-0 ⋅ 036 V The standard electrode potential (E°) for Fe 3++ e - longrightarrow Fe 2+ is :
Q. Given standard electrode potentials
F
e
2
:
+
2
e
−
⟶
F
e
E
∘
=
−
0
⋅
440
V
F
e
3
+
+
3
e
−
⟶
F
e
E
∘
=
−
0
⋅
036
V
The standard electrode potential
(
E
∘
)
for
F
e
3
+
+
e
−
⟶
F
e
2
+
is :
4336
201
BITSAT
BITSAT 2007
Report Error
A
+ 0.772 V
59%
B
- 0.772 V
13%
C
+ 0.417 V
15%
D
-0.414 V
12%
Solution:
We know,
△
G
∘
=
−
n
F
E
∘
F
e
2
+
+
2
e
−
→
F
e
Δ
G
∘
=
−
2
×
F
×
(
−
0.440
V
)
=
0.880
F
...
(1)
F
e
3
+
+
3
e
−
→
F
e
Δ
G
∘
=
−
3
×
F
×
(
−
0.036
)
=
0.108
F
...
-(2)
On subtracting Eqs. (1) from (2),
F
e
3
+
+
e
−
→
F
e
2
+
Δ
G
∘
=
0.108
F
−
0.880
F
=
−
0.772
F
Δ
G
∘
=
−
n
F
E
∘
E
∘
=
−
n
F
Δ
G
∘
=
−
1
×
F
−
0.772
F
=
+
0.772
V