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A concentration cell contains electrodes made of the same metal and solutions co

ID: 800570 • Letter: A

Question

A concentration cell contains electrodes made of the same metal and solutions containing the same ions but at different concentrations. Consider Zn electrode in 0.1 M ZnSO4 solution in one compartment and Zn electrode in 1.0 M ZnSO4 for another compartment of the cell. Write down the text diagram (form) for the cell and calculate the E for that cell at T=298K.


PLEASE SHOW HOW TO DO THE NERNST EQUATION FOR CALCULATING E.

A concentration cell contains electrodes made of the same metal and solutions containing the same ions but at different concentrations. Consider Zn electrode in 0.1 M ZnSO4 solution in one compartment and Zn electrode in 1.0 M ZnSO4 for another compartment of the cell. Write down the text diagram (form) for the cell and calculate the E for that cell at T=298K.

Explanation / Answer


The cell notation is:

Zn(s) | Zn2+(aq, 0.1 M) || Zn2+(aq, 1.0 M) | Zn(s)


Overall cell reaction is:

Zn2+(aq, 1.0 M) => Zn2+(aq, 0.1 M)


Eo(cell) = 0.00 V

Moles of electrons transferred n = 2

Faraday constant F = 96485 C/mol

Molar gas constant R = 8.314 J/mol.K

Temperature T = 298 K


Nernst equation:

E(cell) = Eo(cell) - RT/nF ln([Zn2+(aq, 0.1 M]/[Zn2+(aq), 1.0 M)])

= 0.00 - 8.314 x 298/(2 x 96485) x ln(0.1/1.0)

= 0.0296 V (or approximately 0.030 V)


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