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Electrolysis and Electrolytes

Which of the ...

Question

Which of the following statements are correct for the given electrochemical cells?
(I) $F e | F e^{2 +} | | F e^{3 +} | F e$
(II) $F e | F e^{2 +} | | F e^{3 +}, F e^{2 +} | P t$
(III) $F e | F e^{3 +} | | F e^{3 +}, F e^{2 +} | P t$

A

The overall reaction and

Δ G^{o}

for each cell is same

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B

The value of

E_{c e l l}^{o}

and 'n' are different for each cell

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C

The value of

E_{c e l l}^{o} \times n

for each cell is same

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D

The

Δ G^{o}

depends on the cell reaction whereas

E_{c e l l}^{o}

depends on the make up of cell

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Solution

The correct options are
A The overall reaction and $Δ G^{o}$ for each cell is same
B The value of $E_{c e l l}^{o}$ and 'n' are different for each cell
C The value of $E_{c e l l}^{o} \times n$ for each cell is same
D The $Δ G^{o}$ depends on the cell reaction whereas $E_{c e l l}^{o}$ depends on the make up of cell
A .In the given electrochemical cells, the net reaction will be the dissolution of iron at one electrode and the deposition of iron at other electrode.
Hence, the net cell reaction will be same for all the cells.
The overall free energy change, which depends on the net cell reaction will also be same.
Thus, the option A is correct.
B. The value of the standard cell potential $E_{c e l l}^{o}$ and the number of electrons n involved in the cell reaction will be different for all the cells.
Hence, the option B is correct.
C. The value of the product of the standard cell potential $E_{c e l l}^{o}$ and the number of electrons n involved in the cell reaction will be same for all the cells.
Thus, the option C is also correct.
D. The value of the standard free energy change depends on the cell reaction whereas the value of the standard cell potential depends on the make up of the cell.
Thus, the option D is correct.

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Similar questions

E_{1}^{o}, E_{2}^{o}

E_{3}^{o}

are standard oxidation potentials for

F e | F e^{2 +}, F e^{2 +} | F e^{3 +}

F e | F e^{3 +}

E_{3}^{o} = \frac{E_{2}^{o} + 2 E_{1}^{o}}{n}

. The value of n is:

Q. For the cell

Z n (s) | Z n^{2 +} (a q) | | M^{x +} (a q) | M (s)

, different half cells and their standard electrode potentials are given below:

$M^{x +} (a q / M (s))$	$A u^{3 +} (a q) / A u (s)$	$A g^{+} / A g (s)$	$F e^{3 +} (a q) / F e^{2 +} (a q)$	$F e^{2 +} (a q) / F e (s)$
$E_{M^{x +} / M^{/ (V)}}^{o}$	$1.40$	$0.80$	$0.77$	$- 0.44$

E_{Z n^{2 +} / Z n}^{o} = - 0.76 V

, which cathode will give a maximum value of

E_{c e l l}^{o}

per electron transferred ?

Q. What is the standard reduction potential

(E^{o})

F e^{3 +} \to F e

F e^{2 +} + 2 e^{-} \to F e; E_{F e^{2 +} / F e}^{o} = - 0.47 V

F e^{3 +} + e^{-} \to F e^{2 +}; E_{F e^{3} / F e^{2 +}}^{o} = + 0.77 V

Q. What is the standard reduction potential

(E^{o})

F e^{3 +} \to F e

F e^{2 +} + 2 e 6 - \to F e; E_{F}^{o} e_{F e^{2 +} / F e} = - 0.47 V

F e^{3 +} + e^{-} \to F e^{2 +}; E_{F e^{3 +} / F e^{2 +}}^{o} = + 0.77 V

E_{c e l l}

F e_{(} s) | F e^{2 +} (0.1 M) | | F e^{3 +} (0.01 M) | F e^{2 +} (1 M) | P t

, T = 298 K.
Given

E_{F e^{3 +} / F e^{2 +}}^{0} = + 0.771 V, E_{F e^{2 +} / F e}^{0} = - 0.41 V

.

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