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What is the quantity of current required to deposit one mole of metallic magnesium from fused magnesium chloride? (1F=96500C)

  • A.\(1.93 \times 10^{4} C\)
  • B.\(1.93 \times 10^{3} C\)
  • C.\(9.65 \times 10^{3} C\)
  • D.\(9.65 \times 10^{4} C\)
  • E.\(1.93 \times 10^{5} C\)

Answer: E

The charge needed is \(1.93 \times 10^{5}\) C.

At the cathode, \(\mathrm{Mg^{2+} + 2e^{-} \rightarrow Mg}\), so one mole of magnesium needs two moles of electrons, that is 2 faradays:

\[ Q = 2 \times 96500 = 193000 = 1.93 \times 10^{5}\ \text{C} \]

\(9.65 \times 10^{4}\) C is one faraday, enough only for a univalent metal. The other options are these values with the wrong power of ten.

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