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For the reaction Cu²⁺ + 2e⁻ → Cu with E° = +0.34 V, what is the cell potential when [Cu²⁺] = 0.01 M at 298 K?

A+0.34 V
B+0.399 V
C+0.281 V
D+0.281 V (using log 100)
Answer & Solution
Correct answer: C. +0.281 V
1. E = E° − (0.059/n) log (1/[Cu²⁺]) = E° + (0.059/n) log [Cu²⁺]. 2. n = 2. Substitute: E = 0.34 + (0.059/2) × log(0.01). 3. log(0.01) = −2. Term = (0.059/2) × (−2) = −0.059. 4. E = 0.34 − 0.059 = +0.281 V. _Source: syllabus Chemistry, Unit 3 "Electrochemistry", §3.3_
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