Calculate Cell Potential at 25°C for Fe & Pd Cells

In summary, the cell potential at 25°C for the given cell is +1.28 V. This was found by using the Nernst equation to account for the concentrations of Fe^2+ and Pd^2+ in the cell, resulting in a different value for the standard potential. This explains why the calculated value did not match any of the answer choices provided.
  • #1
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Homework Statement


Calculate the cell potential at 25°C for the cell:

Fe (s) | (Fe^2+ (0.100 M) || Pd^2+ (1.0*10^-5 M) | Pd (s)

given that the standard potential for Fe^2+/Fe is -0.45 V and for Pd^2+/Pd is +0.95 V.

A. +1.28 V
B. +1.16 V
C. +1.52 V
D. +1.68 V

Homework Equations


E Cell potential = E Cathode - E Anode

The Attempt at a Solution


By looking at the two potentials for Fe and Pd, I deducted that the species at the cathode was Pd because 0.95 > -0.45. Then, I took the difference:

E Cell potential = E Cathode - E Anode
E Cell Potential = 0.95 - (-0.45)
E Cell potential = 1.40 V (which isn't even an answer choice)

However upon looking at answer choices and the answer key, the answer was in fact A. +1.28 V; can someone explain to me what went wrong in my calculations? Or if there is a typo?
 
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  • #2
Solutions are not in a standard state - you have to correct for concentrations using Nernst equation.
 

1. What is cell potential?

Cell potential is the measure of the electrical potential difference between two electrodes in a galvanic cell or battery. It is measured in volts (V) and can be used to determine the direction and strength of an electrochemical reaction.

2. How is cell potential calculated?

Cell potential can be calculated using the Nernst equation, which takes into account the standard cell potential, temperature, and concentrations of the reactants and products in the cell. This equation is often used to determine the feasibility of a reaction and to predict the direction of electron flow.

3. What is the significance of calculating cell potential at 25°C?

The temperature at which cell potential is calculated is important because it affects the reaction rate and equilibrium constant of the electrochemical reaction. At 25°C, the standard cell potential is used, which is a measure of the potential difference under standard conditions (1 M concentration and 1 atm pressure).

4. How does the composition of the cell affect the cell potential?

The composition of the cell, including the types of electrodes and electrolytes used, can greatly affect the cell potential. For example, different combinations of metals and ions can result in different standard cell potentials, which can impact the overall cell potential when the reaction is taking place.

5. What is the importance of calculating cell potential for Fe & Pd cells?

Calculating the cell potential for Fe & Pd cells is important in understanding the feasibility and direction of the electrochemical reaction taking place. It can also provide valuable information for designing and optimizing these types of cells for various applications, such as batteries and fuel cells.

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