How many Faraday of electricity is required to deposit $0.8 \mathrm{~g}$ of calcium at cathode by the…

How many Faraday of electricity is required to deposit $0.8 \mathrm{~g}$ of calcium at cathode by the electrolysis of $\mathrm{CaCl}_2$ ?
  1. $4 \mathrm{~F}$
  2. $0.04 \mathrm{~F}$
  3. $2.5 \mathrm{~F}$
  4. $2 \mathrm{~F}$

Solution

$\begin{aligned} & \mathrm{Ca}^{2+} \longrightarrow \mathrm{Ca}_{(\mathrm{s})} \\ & \qquad \mathrm{nf}=2 \\ & \text { moles of calcium }=\frac{0.8}{40}=2 \times 10^{-2} \\ & \text { no. of equivalents of calcium } \\ & =\text { moles } \times \mathrm{nf} \\ & =2 \times 10^{-2} \times 2 \\ & =4 \times 10^{-2}=0.04 \end{aligned}$ To deposit 1 equivalent of electrolyte 1 Faraday electricity is required. To deposit 0.04 equivalents of electrolyte, $0.04 \mathrm{~F}$ electricity is required.

Asked in: MHT CET 2021 (22 Sep Shift 2)

Practice more Electrochemistry questions on Aicharya