How many Faraday of electricity is required to produce $5 \mathrm{~g}$ of magnesium from magnesium chloride?…

How many Faraday of electricity is required to produce $5 \mathrm{~g}$ of magnesium from magnesium chloride? (Molar mass Mg $=24 \mathrm{~g} \mathrm{~mol}^{-1}$ )
  1. $2.451 \mathrm{~F}$
  2. $0.417 \mathrm{~F}$
  3. $6.0 \mathrm{~F}$
  4. $9.634 \mathrm{~F}$

Solution

$\begin{aligned} & \mathrm{Mg}^{+2}+2 \mathrm{e}^{-} \rightarrow \mathrm{Mg} \\ & 2 \mathrm{~mol} \quad 1 \mathrm{~mol} \\ & \frac{5}{24}=0.208 \mathrm{~mol} \mathrm{Mg} \\ & \therefore \text { Mol of charge required or faraday of change required } \\ & =0.208 \times 2 \\ & =0.416 \mathrm{~F} \\ & \end{aligned}$

Asked in: MHT CET 2022 (10 Aug Shift 1)

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