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Chemistry Help???

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Calculating Concentrations in a Galvanic Cell

What is the pH of the solution in the cathode

compartment of cell when PH2 = 1.0 atm, [Zn2+] in the anode compartment is 0.10 M, and cell emf is 0.542 V? 

 

asked Apr 22, 2015 in CHEMISTRY by heather Apprentice

1 Answer

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Step 1:

The chemical reaction is image.

The partial pressure of H2 is 1 atm.

Concentration of [Zn2+] = 0.10 M.

The emf of the cell is 0.542 v.

Nernst Equation :

The dependence of the cell emf on concentration can be obtained from the dependence of the free-energy change on concentration.

Nernst equation is image, where image is the reaction quotient.

image

For the reaction,

image

Step 2:

Calculate image.

The cell potential (always positive for a galvanic cell) where image .

The direction of electron flow obtained by inspecting the half reactions and using the direction that gives a positive cell potential.

Anode : image          image

Cathode : image                      image

The cell potential image .

Step 3:

image

Definition of pH: image.

pH of the solution in cathode is 3.68.

Solution:

pH of the solution in cathode is 3.68.

answered Apr 22, 2015 by Lucy Mentor

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