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A concentration cell with the same metal in 0.1 M and 0.001 M solutions of a divalent ion has an EMF of about

  • A.0.059 V
  • B.0.118 V
  • C.0.030 V
  • D.zero

Answer: A

Correct answer: 0.059 V

For a concentration cell the standard potentials cancel and

\[ E = \frac{0.059}{n}\log\frac{C_2}{C_1} = \frac{0.059}{2}\log\frac{0.1}{0.001} = 0.0295 \times 2 = 0.059 \ \mathrm{V} \]

Two decades of concentration difference, halved by the divalent charge. Forgetting the \( n \) of 2 gives 0.118 V, which would be the answer for a univalent ion.

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