Mistake Master

Cell Potential Under Nonstandard Conditions

When concentrations differ from standard, the cell potential is given by the Nernst equation: at 25 °C, E = E° − (0.05916/n) log Q. So the potential shifts away from E° as Q changes — an operating cell is not pinned to its standard value, a concentration cell (same species, different concentrations) has a nonzero potential, and E reaches zero only at equilibrium.

UNIT 9 TOPIC 9.10 • CELL POTENTIAL UNDER NONSTANDARD CONDITIONS NERNST EQUATION THE NERNST EQUATION E = RT nF ln Q at 25 °C: E = E° − (0.05916/n) log Q WHAT EACH TERM MEANS E = cell potential (nonstandard) = standard cell potential R = 8.314 J·mol⁻¹·K⁻¹ T = temperature (K) n = moles e⁻ transferred F = 96,485 C·mol⁻¹ Q = reaction quotient Concentration cell Ecell e⁻ 0.10 M anode (−) 1.0 M cathode (+) Worked example — copper(II) concentration cell Cu(s) │ Cu²⁺ (0.10 M) ‖ Cu²⁺ (1.0 M) │ Cu(s) Overall cell reaction (net ionic): Cu²⁺(aq, 1.0 M) → Cu²⁺(aq, 0.10 M) At 25 °C, for Cu²⁺ + 2e⁻ → Cu(s): E° = +0.340 V Both electrodes are identical, so Ecell = 0 V (E°cathode = E°anode) Reaction quotient: Q = [Cu²⁺]anode / [Cu²⁺]cathode = 0.10 / 1.0 = 0.10 Nernst equation (n = 2, 25 °C): Ecell = 0 − (0.05916/2) · log(0.10) Ecell = +0.0296 V Ecell > 0 → spontaneous as written Q < K shifts forward · E_cell > 0 Q = K equilibrium · E_cell = 0 Q > K shifts reverse · E_cell < 0 this cell: Q = 0.10 < K = 1 CED ANCHOR Cu²⁺ moves 1.0 M → 0.10 M (concentrations equalize) Quantify electrochemical systems with Q and Ecell (Nernst) for both direction and magnitude of the driving force — not vague labels like “favored.” AP Chemistry · Unit 9 · Applications of Thermodynamics
Under nonstandard conditions, the cell potential shifts from E° according to the Nernst equation, E = E° − (0.05916/n) log Q at 25 °C. An operating cell is away from equilibrium; a concentration cell has a nonzero potential; and the potential falls to zero only at equilibrium.
Nernst Equation · Open the sandbox →

The trap keeps the cell potential at its standard value as conditions change, moves it the wrong direction, calls a concentration cell zero-voltage, or treats a working cell as already at equilibrium. Use the Nernst equation: E shifts from E° with Q, and only hits zero at equilibrium.

The work

3 ways in · any order
Lesson
Nonstandard Cell Potential

The Nernst equation shifts E from E° with Q, so an operating (and concentration) cell has a nonzero, nonstandard potential until equilibrium. The lesson applies it, then closes with a ten-scenario check.

Skill check · 10 scenarios
Diagnostic
10-item topic check

Ten items spanning the Topic 9.10 misconception: nonstandard and operating cell potential mishandled — the Nernst shift, concentration cells, and the zero-at-equilibrium condition.

Not started · 10 items · ~15 min
Targeted Practice
Drill a single misconception

Pick one of the failure modes you missed and drill it on its own. The round is adaptive: two correct in a row clears the misconception and moves you to the next.

Take the diagnostic to identify your misconceptions