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? asked in Science & MathematicsChemistry · 7 years ago

Chemistry Homework Help?

The voltage generated by the zinc concentration cell described by,

Zn(s)|Zn2 (aq, 0.100 M)||Zn2 (aq, ? M)|Zn(s)

is 18.0 mV at 25 °C. Calculate the concentration of the Zn2 (aq) ion at the cathode

If you can answer thank you because I can not get it.

1 Answer

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  • Fern
    Lv 7
    7 years ago

    Zn =⇒ Zn+2(0.10) + 2e- (anode)

    Zn+2(?M) + 2e- === Zn(s) (cathode)

    Zn + Zn+2(?M) ===⇒ Zn+2(0.10) + Zn

    E = E^o -0.0592 log Q; in this case E^o is zero.

    E = - 0.0592 /n logQ where n is the number of electrons transferred, in this case n = 2

    18 mV x 1 volt/1000mv = 0.018 Volts

    0.018 = -0.0592 / 2 log(0.10) / [Zn+2]

    0.018 = -0.0296 { log 0.10 – log [Zn+2] }

    0.018 = -0.0296{ -1 - log[Zn+2]

    0.018 = +0.0296 + 0.0296log[Zn+2]

    -0.0116 = 0.0296log[Zn+2]

    -0.39= log[Zn+2]

    [Zn+2] = 10^-0.39 = 0.407 Molar

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