Concentration cells work because standard reduction potentials are dependent on concentration.

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Concentration cells work due to the difference in concentration of the electrolytes, creating a potential difference. The standard reduction potentials themselves are defined under standard conditions (1 M concentration) and do not change with concentration; however, the actual cell potential does change with concentration according to the Nernst equation.

Concentration Cells Work Because Standard Reduction Potentials Are Dependent on Concentration