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Citation: Shao Limin. Effect of Numerical Error on Results of The Nernst Equation[J]. Chemistry, ;2020, 83(10): 951-954. shu

Effect of Numerical Error on Results of The Nernst Equation

Shao Limin

Department of Chemistry, University of Science and Technology of China, Hefei, 230026

Received Date: 29 April 2020
Accepted Date: 30 May 2020

Using the Nernst equation for calculations between potential and concentration, the results of one quantity are affected by the numerical error of the other. Such effect is investigated with the propagation of error and examples. Results showed that the effect of concentration error on the calculated potential is small, whereas the effect of potential error on the calculated concentration is relatively high. This phenomenon is more significant in the case of high potentials or large number of transferred electrons in the half reaction. When concentrations are the target of calculation, high-precision potentials should be used in the Nernst equation, or the equilibrium constant is used for the calculation instead of the Nernst equation. When potentials are the target of calculation, the effect of concentration error is relatively slight, so approximate concentrations are often sufficient to yield accurate potentials, which makes approximation a convenient and effective means in such calculations.
- Nernst equation,
- Propagation of error,
- Universal solution
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