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Expected Cell Voltage (Galvanic Cell)?

What is the expected cell voltage for:

Zn | 0.10M ZnSO4 || 0.10M AgNO3 | Ag

E = -0.76V for Zn -> 2e + Zn2+

E = 0.80V for Ag+ + e -> Ag

How do I do this? Do I just add up the two numbers?

3 Answers

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  • A.S.
    Lv 7
    9 years ago
    Favorite Answer

    you have not mentioned the temperature so i am assuming it as 298 K (25 degree C)

    the cell representation shows that Ag is getting reduced at cathode (right compartment)

    and Zn is getting oxidised at anode (left compartment)

    at cathode : Ag+ + e- ------> Ag ....Eo = 0.80 V.....(1)

    Zn ------> Zn2+ + 2e- .....Eo = -0.76 V.....(2)

    multiplying reaction (1) by 2 and adding in (2)

    Zn + 2Ag+ + 2e- ------> Zn2+ + 2e- + 2Ag

    2e- will cancel out....

    Zn + 2Ag+ ------> Zn2+ + 2Ag

    Eo(cell) = Eocathode - Eoanode = 0.8 - -0.76 = 1.56 V

    now this would have been the e.m.f. of cell if every species were at 1 M.....but since their conc. is different so we will have to use the nernst equation...

    E = Eo(cell) - RT/nF ln [Zn2+] / [Ag+]^2

    where R = 8.314 j/K/mole

    T = 298 K

    n = no. of electrons invoved in electrode reaction = 2

    F = 96500 coulombs

    [Zn2+] = 0.1

    [Ag+] = 0.1

    Eo = 1.56

    putting the values..

    E(cell) = 1.56 - (8.314 X 298)/ (2X96500) ln 0.1/0.1^2

    E(cell) = 1.56 - 0.0128 X ln 0.1/0.01

    E(cell) = 1.56 - 0.0128 X ln 10

    E(cell) = 1.56 - 0.0295

    E(cell) = 1.5305 V

    please chck the maths..

    see the examples given in this link---

    http://www.science.uwaterloo.ca/~cchieh/cact/c123/...

    feel free to ask any questions...

  • Anonymous
    4 years ago

    Galvanic Cell Voltage

  • ?
    Lv 4
    5 years ago

    2

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