Question

In: Chemistry

The following cell reaction furnishes 0.62V. 2Fe3+(aq) + Sn2+(aq) ---> 2 Fe2+(aq) + Sn4+(aq) The maximum...

The following cell reaction furnishes 0.62V.

2Fe3+(aq) + Sn2+(aq) ---> 2 Fe2+(aq) + Sn4+(aq)

The maximum electrical energy per mole of Fe(III) ion is (1F = 9.65 x 104 C)

(A) 1.197 x 105 J/mole Fe(III) ion
(B) 2.394 x 105 J/mole Fe(III) ion
(C) 5.98 x 105 J/mole Fe(III) ion
(D) 5.98 x 104 J/mole Fe(III) ion

Correct answer is (C). Please explain why, thank you.

Solutions

Expert Solution

Eocell = 0.62 V

decrease in free energy = maximum electrical energy

- DG    = work (or) energy = n F Eocell

n = number of electrons transfered = 2

F = faraday = 9.65 x 104 C

work (or) energy = n F Eocell

                            = 2 x9.65 x 104 x 0.62

                            = 119660 J

                              = 1.197 x 10^5 J

from the balanced equation: 2 mole Fe (III) ion ---------------> 1.197 x 10^5 J

                                               1 mole Fe(III) ion ------------> 1.197 x 10^5 J / 2 mole

                                                                            ----------------> 5.98 x 10^4 J / mole

answer : (D) 5.98 x 104 J/mole Fe(III) ion

note check your answer once . it is 10^4 not 10^5 . so the answer should be D)


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