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Chemistry · University

Nernst equation with a stated coefficient

The reaction quotient is dimensionless; use the electron count for the balanced reaction as written.

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Method and conditions

The reaction quotient is dimensionless; use the electron count for the balanced reaction as written.

E = E° − (0.05916/n)log₁₀Q at 298 K

Worked examples

At 298 K use E=E°−(0.05916/n)log₁₀Q. Given E°=1.6 V, n=5, and Q=10^(-1), find E. Round the final result to 4 decimal places if needed. Answer in V.

log₁₀Q=-1. Therefore E=1.6−(0.05916/5)(-1).

1.6118 V

At 298 K use E=E°−(0.05916/n)log₁₀Q. Given E°=1.6 V, n=1, and Q=10^(-2), find E. Round the final result to 4 decimal places if needed. Answer in V.

log₁₀Q=-2. Therefore E=1.6−(0.05916/1)(-2).

1.7183 V

Try it

  1. At 298 K use E=E°−(0.05916/n)log₁₀Q. Given E°=1.4 V, n=3, and Q=10^(-3), find E. Round the final result to 4 decimal places if needed. Answer in V.

  2. At 298 K use E=E°−(0.05916/n)log₁₀Q. Given E°=1.3 V, n=5, and Q=10^(-3), find E. Round the final result to 4 decimal places if needed. Answer in V.

Check your work

Answers and marking notes
  1. 1.4592 V

    log₁₀Q=-3. Therefore E=1.4−(0.05916/3)(-3).

  2. 1.3355 V

    log₁₀Q=-3. Therefore E=1.3−(0.05916/5)(-3).

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