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Calculate the potential for each cell as shown below and indicate whether the me

ID: 510425 • Letter: C

Question

Calculate the potential for each cell as shown below and indicate whether the metal electrode in the half-reaction opposite the standard hydrogen electrode, S H.E., would be the anode or the cathode if the cell was shorted and electrons were allowed to flow freely at 25 degree C. A) S.H.E.|| Zn^2+(aq, 0.0570 M)|Zn(s) E^o_Zn^2+/Zn = -0.762 V The Zn electrode is the anode. cathode. B) Pt(s)|V^3+(aq, 0.275 M), V^2+(aq, 0.00380 M)||S.H.E. E^o_V^3+/V^2+ = -0.255 V The Pt electrode is the anode cathode

Explanation / Answer

B. The half cell reaction is V3+ (0.275M ) ----> V2+(0.00380M)

Equilibrium constant , K = [V2+]/[V3+]

= 0.00380 / 0.275

= 0.0138

According to Nernst Equation ,

E = Eo - (0.059 / n) log K

   = Eo - (0.059 / n) log K

Where

E = electrode potential of the cell = ?

Eo = standard electrode potential = +0.255 V

n = number of electrons involved in the reaction = 1

Plug the values we get

E = Eo - (0.059 / n) xlog K

   = +0.255 - (0.059 / 1 ) x log 0.0138

= +0.3647

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