How many faraday of electricity is required to produce $10 \mathrm{~g}$ of calcium metal (molar mass $=40…

How many faraday of electricity is required to produce $10 \mathrm{~g}$ of calcium metal (molar mass $=40 \mathrm{~g} \mathrm{~mol}^{-1}$ ) from calcium ions?
  1. $1.5 \mathrm{~F}$
  2. $2.0\mathrm{~F}$
  3. $0.50 \mathrm{~F}$
  4. $1.0 \mathrm{~F}$

Solution

$2 \mathrm{e}^{-}+\mathrm{Ca}^{2+} \longrightarrow \mathrm{Ca}_{(\mathrm{s})}$ Charge of $1 \mathrm{~mol}$ electron $=1$ faraday of electricity To produce $1 \mathrm{~mol}$ calcium metal $2 \mathrm{~F}$ electricity is required Moles of calcium $=\frac{10}{40}=0.25$ To produce $0.25 \mathrm{~mol}$ calcium electricity required $=2 \times 0.25=0.5 \mathrm{~F}$

Asked in: MHT CET 2021 (20 Sep Shift 1)

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