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Cell Potential Under Nonstandard Conditions

Emily Wilson

Emily Wilson

8 min read

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Study Guide Overview

This study guide covers non-standard conditions and electrochemical cells, focusing on the relationship between cell (standard cell potential), Ecell (non-standard cell potential), and the Nernst Equation. It explains how concentration affects cell potential and how to use the Nernst Equation to predict changes in Ecell under non-standard conditions, including at equilibrium. The guide also connects Ecell, Gibbs Free Energy (ΔG), and the equilibrium constant (K). Finally, it provides practice questions and exam tips.

Non-Standard Conditions & Electrochemical Cells 🔋

Hey there, future AP Chem master! Let's dive into the world of electrochemical cells outside of standard conditions. It's all about how concentration, cell potential, and equilibrium play together. Get ready to make some awesome predictions!

Comparing Ecell and E°cell

Remember, standard conditions are 298.15 K, 1 atm, and 1 M concentrations (Q = 1). But what happens when we're not at these perfect conditions? That's where things get interesting!

  • cell is the cell potential under standard conditions.
  • Ecell is the cell potential under non-standard conditions.
Key Concept

A running galvanic cell is not at equilibrium. It's moving towards equilibrium. The further from equilibrium, the greater the cell potential. When the cell reaches equilibrium, Ecell = 0 (dead battery!).

Memory Aid

Think of a battery like a spring. When it's fully wound (far from equilibrium), it has lots of potential (high voltage). As it unwinds (moves towards equilibrium), the potential decreases until it's completely unwound (dead battery, Ecell = 0).

The Nernst Equation

The Nernst Equation is our go-to tool for understanding how non-standard conditions affect cell potential. It relates Ecell to E°cell and the reaction quotient, Q.

Ecell=EcellRTnFlnQE_{cell} = E^\circ_{cell} - \frac{RT}{nF}lnQ

Ecell=Ecell0.0592nlogQE_{cell} = E^\circ_{cell} - \frac{0.0592}{n}logQ

  • R = 8.314 J/mol·K (gas constant)
  • T = Temperature in Kelvin
  • n = moles of electrons transferred in the balanced redox reaction
  • F = Faraday's constant (96485 C/mol e-)
Exam Tip

On the AP exam, you won't need to calculate exact values using the Nernst Equation. Instead, focus on making predictions about how changes in Q, E°cell, and Ecell will affect each other.

Concentration and Cell Potential

Concentration is a major player in determining cell potential under non-standard conditions. Remember that:

Q=[Products]n[Reactants]mQ = \frac{[Products]^n}{[Reactants]^m}

where n and m are the stoichiometric coefficients from the balanced reaction.

  • If Q > 1 (too many products), Ecell < E°cell...

Question 1 of 11

What are the standard conditions for measuring cell potential (E°cell)? 🤔

0 °C, 1 atm, and 1 M concentration

273.15 K, 1 atm, and 2 M concentration

298.15 K, 1 atm, and 1 M concentration

298.15 K, 2 atm, and 0.5 M concentration